Re: Non-locality and MWI

2016-05-12 Thread smitra

On 11-05-2016 22:31, John Mikes wrote:

BruceK and Smitra,
my apologies for being obsolete and uninformed, I learned math & phsx
in the very early 40s (19- that is) and did not need to refresh in my
1/2 c. of a successful R activity in specialty polymers. Since then
(1987), however, I became an agnostic.
What reverberates now is that Everett called MWI a bunch of IDENTICAL
universes. In my agnostic view "MY" MWI consists of possibly no two
identical universes, ours being one pretty simpleminded system - we
know it only from the inside. We have no access to the others.


I actually believe that the MWI is only an effective theory, an 
approximation to a multiverse of algorithms.It could be Bruno's theory 
or something else.


Saibal

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Re: Non-locality and MWI (literature)

2016-05-12 Thread smitra

On 12-05-2016 08:14, Bruce Kellett wrote:

The proof of non-locality, even in a many worlds model, is immediate.
Since the sequence under consideration comes from a series of quantum
events it must violate the Bell inequalities. And Bell has shown that
these inequalities must hold for any local theory. Hence quantum
mechanics, even in the many worlds interpretation, is non-local.


Bell showed that any local hidden variable explanation that would do 
away with  the randomness in quantum mechanics is ruled out. This has no 
bearing on the MWI, or just plain QM, as the randomness remains.


In the MWI the branches that effectively appear due to decoherence do 
not contain well defined hidden variables. Suppose e.g. that I measure 
the z-component if a spin that was initially polarized in the 
y-direction. The two branches where I find the two different outcomes 
can be evolved back in time, so you can write some state before I did 
the measurement as a superposition of these two states. But these states 
are not effective branches where I would get localized in before the 
measurement.


So, Bells's theorem rules out that you can use inverse time evolution, 
and project out the definite future outcomes and construct a local 
hidden variable theory this way.


Saibal

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Re: R: Re: Non-locality and MWI

2016-05-12 Thread Stathis Papaioannou
On 10 May 2016 at 02:50, Brent Meeker  wrote:

>
>
> On 5/9/2016 12:52 AM, 'scerir' via Everything List wrote:
>
> Saibal Mitra:
>
>
> And this is the core of the disagreement, you say that the results are
> already there, but in the MWI this is false. In the MWI the cat is not
> either dead or alive before you open the box, the superposition has
> become entangled with the environment, but both branches are relevant
> until you get to know the result.
>
> It seems (to me) interesting this quote from Nicolas Gisin "Against Many-
> Worlds",
> ch. 4 of the paper ' Are There Quantum Effects Coming from Outside Space-time?
> Nonlocality, free will and "no many-worlds" '
> http://arxiv.org/pdf/1011.3440.pdf
>
> "On the contrary, I do not see any explanatory power in the many worlds: it
> seems
> to be made just to prevent one from asking (possibly provocative) questions.
> Moreover, it has built in it the impossibility of any test: all its
> predictions are identical
> to those of quantum theory. For me, it looks like "cushion for laziness"
> (un coussin de paresse in French).
>
>
> It avoids the otherwise puzzling question of, "When does the wave function
> collapse?  Why is a measurement different from other physical
> interactions?"  QBism provides one answer, but at the cost of losing a kind
> of absolute objectivity.  Other solutions, like Bohm and GRW, postulate
> truly different physics that produce collapse.
>
> And there is a second, decisive, reason to
> reject
> the many-worlds view: it leaves no space for free will."
>
>
> That's a silly reason.  Daniel Dennett, in his book *Elbow Room*,
> explains that even Laplacian determinism leaves us all the free will worth
> having.
>

Moreover, even if MWI did somehow destroy free will, causing some people
consternation as a result, that would have no bearing on its truth.



-- 
Stathis Papaioannou

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R: Re: Non-locality and MWI

2016-05-12 Thread 'scerir' via Everything List


BruceK and Smitra,my apologies for being obsolete and uninformed, I learned 
math  phsx in the very early 40s (19- that is) and did not need to refresh 
in my 1/2 c. of a successful RD activity in specialty polymers. Since then 
(1987), however, I became an agnostic. What reverberates now is that Everett 
called MWI a bunch of IDENTICAL universes. In my agnostic view "MY" MWI 
consists of possibly no two identical universes, ours being one pretty 
simpleminded system - we know it only from the inside. We have no access to the 
others. 
John Mikes Ph.D. (chem-phys-math 1948)
-
'The ‘many world interpretation seems to me an extravagant, andabove all an 
extravagantly vague, hypothesis. I could almostdismiss it as silly. And yet... 
It may have something distinctiveto say in connection to ‘Einstein Podolsky 
Rosen puzzle’, and itwould be worthwhile, I think, to formulate some precise 
versionof it to see if it really so. And the existence of all possibleworlds 
may make us more comfortable about existence of ourown world... which seems to 
be in some ways a highly improbableone." (John Bell, 1986)



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Re: Non-locality and MWI (literature)

2016-05-12 Thread Bruce Kellett

On 11/05/2016 11:37 pm, Bruno Marchal wrote:

On 10 May 2016, at 02:10, Bruce Kellett wrote:

Bell's original argument didn't mention collapse, and the argument 
that his theorem fails because he assumed definite outcomes from 
measurements is actually without substance: no such assumption is 
required by Bell.


Bell does not mention collapse, nor EPR, because it is the assumption 
by default.


Bell didn't mention collapse because his argument is valid whether or 
not you make this assumption (or the equivalent assumption of 
countertfactual determinism). Let me try and explain it in a different way.


We have Alice with her measurement apparatus where she can make a 
measurement x, say, and get result a. Similarly Bob can make a 
measurement y and get result b. The Bell of CHSH inequalities apply to 
the outcomes of experiments, so we calculate probabilities (expectation 
values) for a sequence of joint outcomes for Alice and Bob. Since we are 
dealing with correlations between outcomes, the data we are working with 
come only after Alice and Bob have met and exchanged information. Let us 
call the joint result of such a meeting in one world as (ab|xy) for 
results a and b given settings x and y, respectively.


If there are two possible outcomes for a and b, there are four such 
combinations in the superposition representing any run of the 
experiment. If, in order to estimate correlations, we do N runs of the 
experiment, there will be 4^N possible sequences of results for Alice 
and Bob, represented by:


  (ab|xy)_1, (ab|xy)_2, (ab|xy)_3,(ab|xy)_N,

where the subscripts indicating run number actually apply to all of 
a,b,x, and y; and a,b can each be + or -, giving the 4^N distinct 
sequences.  In the many worlds approach, all such sequences are realized 
in one world or another.


All we have to do now is choose a typical world, any world, and look at 
that particular sequence. The sequence consists of actual measurement 
results, pointer setting, or whatever. And they occur after Alice and 
Bob have met after each trial. So this is now just a sequence of results 
that could have been obtained in a run of N trials in the collapse 
model. There is absolutely no difference in the data sequences obtained 
from either model.


The Bell inequalities are obtained by calculating the expectation values 
for just such sequences:  where the sequence came from -- a collapse 
model or selection of one world from the universal wave function -- is 
irrelevant for Bell's calculation. So Bell did not make explicit an 
collapse assumption because no such assumption is needed for his derivation.


The proof of non-locality, even in a many worlds model, is immediate. 
Since the sequence under consideration comes from a series of quantum 
events it must violate the Bell inequalities. And Bell has shown that 
these inequalities must hold for any local theory. Hence quantum 
mechanics, even in the many worlds interpretation, is non-local.


Bruce

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Re: Non-locality and MWI

2016-05-11 Thread John Mikes
BruceK and Smitra,
my apologies for being obsolete and uninformed, I learned math & phsx in
the very early 40s (19- that is) and did not need to refresh in my 1/2 c.
of a successful R activity in specialty polymers. Since then (1987),
however, I became an agnostic.
What reverberates now is that Everett called MWI a bunch of IDENTICAL
universes. In my agnostic view "MY" MWI consists of possibly no two
identical universes, ours being one pretty simpleminded system - we know it
only from the inside. We have no access to the others.

John Mikes Ph.D. (chem-phys-math 1948)



On Tue, May 10, 2016 at 6:39 PM, Bruce Kellett 
wrote:

> On 11/05/2016 1:54 am, smitra wrote:
>
>> On 10-05-2016 06:04, Bruce Kellett wrote:
>>
>> Non-locality was not the issue with this example of the cat in the
>>> box. All I was seeking to establish was that the observer maybe on
>>> definite branches of the wave function (i.e., have been "split")
>>> without knowing about it. The wave function here is taken to be an
>>> objective description of the system, and the observer is part of the
>>> wave function. So the observer might well be on both the cat-dead and
>>> cat-alive branches, but be unaware of which. The cat is definitely
>>> dead on the cat-dead branch and alive on the cat-alive branch. So this
>>> is an objective fact of the evolved wave function, even thought the
>>> observer has no yet self-located. Opening the box then conveys
>>> information to the observer, but does not kill the cat, or cause the
>>> split in the wave function, or the observer. The duplicated persons
>>> may objectively be, one in Washington and one in Moscow, without being
>>> aware of which city (branch of the wave function) they are in. Opening
>>> the door and finding out conveys information, but does not transport
>>> the person to that city.
>>>
>>
>> Yes, but even in the case of the observer getting localized without he or
>> she consciously being aware of that, this localization effect will still be
>> due to local interaction with the branches in the region he/she is in. So
>> whether or not localization in a branch requires conscious awareness of the
>> differences between the two branches isn't relevant.
>>
>> This means that when Alice is on her way to meet with Bob, she won't be
>> localized inside Bob's branches corresponding to Bob having obtained
>> definite results with definite polarizer settings, at least until that time
>> she gets located inside the light cone emanating from the points at Bob's
>> location at the times when the relevant information about these facts were
>> created.
>>
>
> So what? The information is already present in the wave function-- nothing
> new is created when the light cones overlap.
>
> Bruce
>
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R: Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-11 Thread 'scerir' via Everything List

Following the above reasoning MWI (if it is a truly deterministic theory) 
should violate the locality condition.
I doubt this, but if you find a proof, in the literature (or not), I am 
interested. As I explained, and also give references, it seems to me that the 
MWI restores both 3p determinacy and 3p locality, making both the indeterminacy 
and non-locality only first person plural phenomenological happening. That is 
also Everett's position, and I would say the position of most Everettian (I 
still don't find any Everettian claiming that the MWI remains non-local, except 
the beginners who often think at first that the entire universe split 
instantaneously, but this does not deserve to be commented as nobody believes 
in this anymore).
Bruno
 Jarrett, but also Shimony, and also Ghirardi, gave the proof that a 
*deterministic* QM (I should say a *deterministic and single-valued* QM) must 
violate the Locality Condition. I do not have references at hand, right now. 
I'll write down something as soon as possible.
 I did not re-read it, but a paper (about differences between 
non-separability, non-locality, determinism, etc.) could  be this one 
http://dropcanvas.com/#n9m72p90WEc54O (I hope the link works)



 


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R: Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-11 Thread 'scerir' via Everything List
Bruce:

I came across the following brief statement by Goldstein et al:
Many-worlds and relational interpretations of quantum theory

[etc.]

# Adrian Kent writes: "Making scientific sense of Everett’s idea is difficult, 
as evidenced by the many and generally incompatible attempts to show how 
unitary quantum theory explains the appearance of
a quasiclassical world and the apparent validity of the Born rule and 
Copenhagen quantum theory, and evidenced also
by the problems with all of these attempts. There is still nothing close to a 
consensus on the
most promising way forward, even among many-worlds enthusiasts. This adds 
motivation for developing alternative
ways of formulating quantum theory that have the purported advantages of 
many-worlds ideas — realism,
and Lorentz invariance — but describe a single real world, so avoiding both the 
conceptual problems and the fantastic
nature of many-worlds ideas. Still, for many, the appeal of many-worlds ideas 
evidently persists."
in http://arxiv.org/abs/1408.1944 "Does it Make Sense to Speak of Self-Locating 
Uncertainty in the Universal Wave
Function?"

see also http://arxiv.org/abs/0905.0624

and http://arxiv.org/abs/gr-qc/9703089




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Re: Non-locality and MWI (literature)

2016-05-11 Thread Bruno Marchal
  
distance. But by defining a world by a structure closed for  
interaction, that becomes impossible, unless you abstract the  
"parallel terms" away.








But in the MWI, some work needs to be done (at least) to convince  
me. I don't even find a paper on the subject, only paper which  
shows that MWI is local (some more rigorous than other). Do you  
have a reference of a paper showing that Bell's inequality  
violation entails non locality in the MWI? I would like to take a  
look on it, if it exists.


I have not seen anything published along these lines. That does not  
mean that no such papers exist -- I have not really been keeping up  
with all the literature in recent years. But I do know that many  
remain unconvinced by the many worlds argument, and it is clear that  
Bell's theorem does not ultimately depend on any assumption of  
collapse, despite claims to the contrary.


May be write a paper yourself. If you are right, you are on something.  
I might reread Bell to show you the precise place where the collapse  
is used implicitly. Not to much time right now.






Many physicists just never think about the many-worlds, and use QM  
as an instrument prediction only, and get shwoekd by Bell's result,  
without ever pondering about the fact that all outcomes are  
realized. That is why many believes in locality, they have just  
never study Everett.


Many physicists are instrumentalists at heart -- and who is to say  
that they are wrong?


Certainly not me, unless they forget instrumentalism at the pause- 
café, and make metaphysical statement which do not follow the theory.



They are interested in results, after all:  reality can look after  
itself!


Sure, but our conversation is not on practical thing, but on the  
nature of reality.


Bruno





Bruce

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http://iridia.ulb.ac.be/~marchal/



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Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-11 Thread Bruce Kellett

On 11/05/2016 2:31 am, Bruno Marchal wrote:

On 10 May 2016, at 15:37, 'scerir' via Everything List wrote:


Following the above reasoning MWI (if it is a truly deterministic 
theory)

should violate the locality condition.


I doubt this, but if you find a proof, in the literature (or not), I 
am interested. As I explained, and also give references, it seems to 
me that the MWI restores both 3p determinacy and 3p locality, making 
both the indeterminacy and non-locality only first person plural 
phenomenological happening. That is also Everett's position, and I 
would say the position of most Everettian (I still don't find any 
Everettian claiming that the MWI remains non-local, except the 
beginners who often think at first that the entire universe split 
instantaneously, but this does not deserve to be commented as nobody 
believes in this anymore).


I came across the following brief statement by Goldstein et al:

*Many-worlds and relational interpretations of quantum theory**
*
Strictly speaking, there is yet another assumption, besides locality and 
the "no conspiracy" condition that is necessary for the proof of Bell's 
theorem: one has to assume that, after the experiment on one given side 
is performed, its ±1-valued outcome is a well-defined element of 
physical reality. (Recall that in Section 6, in order to apply Bell's 
definition of locality to the type of experiment considered in Section 
5, we assumed that the outcomes A1 and A2 were functions of the local 
beables in regions 1 and 2, respectively.) Now one might wonder how 
anyone could deny that assumption. After all, the outcome of the 
experiment is recorded by the configuration of a macroscopic object 
(say, a pointer position, ink on a piece of paper, etc.) that can be 
directly inspected by a human experimenter. However, there exists one 
fairly popular interpretation of quantum theory that does deny that one 
has (after the experiments are concluded) a well-defined physically real 
±1-valued outcome on each side: the many-worlds interpretation90. More 
precisely, according to the many-worlds interpretation, both outcomes 
are equally real on each side, so that it doesn't make sense to talk 
about "the one ±1-valued outcome that actually occurs". Certain 
"relational" interpretations of quantum theory91 also deny that a 
completed experiment has a well-defined physically real outcome. It is 
possible that this type of strategy could succeed in evading the 
consequences of Bell's theorem, allowing for the possibility of a 
universe governed by a local theory such that conscious observers living 
in that universe attest to the validity of the quantum predictions. 
However, it is not clear how to actually do the trick. There are many 
difficulties and the subject is rather subtle. To begin with, there are 
controversies around the problem of finding an appropriate formulation 
of a many-worlds (or relational) interpretation. Moreover, it is not 
clear whether such an appropriate formulation can be made local, given 
that the wave function — which seems to be all there is in standard 
formulations of many-worlds theories — is not a localized object; in the 
terminology of Bell, it is not a local beable. (Indeed, if a theory has 
no local beables, it is certainly not meaningful to ask whether it is 
local or not in the relevant sense.) A formulation of a version of the 
many-worlds interpretation which includes, in addition to the wave 
function, some local beables, was presented in a recent paper92, but it 
was found by the authors to be non-local. The question of whether a 
many-worlds (or relational) approach can be taken advantage of to create 
a local (and empirically viable) theory thus remains open — as does the 
question of how seriously one should take a theory of this type, should 
it be successfully constructed.


http://www.scholarpedia.org/article/Bell%27s_theorem#Manyworlds_and_relational_interpretations_of_quantum_theory

This Scholarpedia article (*6*, 8378) is available on-line and has many 
additional references.


Bruce

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Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruce Kellett

On 11/05/2016 2:31 am, Bruno Marchal wrote:


The question is: are the probabilities, or the indeterminacies, and 
the non locality,   phenomenological (1p)  or factual (ontological, 
real, 3p)?


QM+collapse admit factual indeterminacies  (God plays dice, and there 
are action at a distance, even if they cannot be used to transmit 
signal quicker than light).


QM-without-collapse is purely deterministic at the 3p level, and 
admits indeterminacies at the phenomenological level.


I think everyone agree on this.


I think that your confidence here is a bit premature. The Schrödinger 
equation was devised for the quantum behaviour of a single 
non-relativistic particle. It is local and deterministic in the many 
worlds interpretation for that case. However, the Schrödinger equation 
does not relate easily to relativity or spin degrees of freedom (spin is 
an intrinsically relativistic notion). These can be tacked on, but not 
always with great felicity.


The main problem, however, is that once you move beyond a single 
particle system, you have to move from physical space into configuration 
space, where there are three independent 'spatial' coordinates for each 
particle. This caused consternation for the early practitioners of QM, 
and still causes problems today for the overly naïve. So while the 
Schrödinger equation for a multi-particle system might be local and 
deterministic in configuration space, there is no guarantee that this 
will remain true when one moves back into physical space to confront 
experiment.


This is precisely the problem that one encounters with the current 
example of entangled pairs of spinning particles. Single particle 
non-relativistic intuitions can mislead, and do so here. Your confidence 
in determinism and locality for this system is seriously misplaced.


The debate is on the following question: does QM-without-collapse 
admit factual non-locality (real physical action at a distance, like 
QM-with-collapse), or do the non-locality becomes, like the 
indeterminacy, phenomenological?
(I think yes, as Jesse, Saibal and others, but it seems Bruce and John 
C. differ on this).


Given that one cannot simply assume locality or determinism for the 
multi-particle system, one is led back to the Bell and CHSH 
inequalities. These apply to the two particle case, and the experimental 
confirmation of the violation of these inequalities for entangled 
particles leads to the conclusion that quantum mechanics is 
intrinsically non-local. Since Everettian QM is claimed to reproduce all 
the standard quantum results, it must also violate these inequalities. 
So either Everettian QM is as non-local as standard QM, or the Bell and 
CHSH theorems do not apply to the no-collapse theory.


This latter has been claimed, and people have sought for assumptions 
that these theorems make that are not true in MWI. For example, Price 
claims: "Bell and Eberhard had implicity assumed that every possible 
measurement - even if not performed - would have yielded a /single/ 
definite result. This assumption is called contra-factual definiteness 
or CFD [S]. What Bell and Eberhard really proved was that every quantum 
theory must either violate locality /or/ CFD." The trouble here is that 
CFD is either trivially violated in ordinary quantum mechanics, or it is 
without content. CFD, if it is to mean anything at all, would be the 
claim that an unperformed experiment would produce a definite result 
*that could be predicted in advance*. That is, of course false in any 
version of quantum mechanics. An unperformed experiment would 
necessarily produce a result, not necessarily predictable, in a collapse 
model;  and all possible results in a many worlds model. But in neither 
case is there any lack of a result.


So the notion of CFD remains murky, and its relevance to the Bell and 
CHSH derivations is even less clear -- in exactly which line of the 
proofs is that assumption made? and what happens if that assumption is 
not made? I think the claim of counterfactual indefiniteness, if it 
means anything, reduces to the claim that Bell assumes a collapse model.


This is the other argument that is raised against the Bell and CHSH 
proofs -- they assume that experiments have single outcomes. In other 
words, they assume a collapse model. But this is not true either, or, if 
it is true, it is not fatal to the applicability of these theorems to 
MWI. I will post a full derivation of the CHSH inequality shortly, and I 
claim that this does not make any assumption about single results. In 
fact, the whole proof is cast in terms of expectation values over 
results, so this works for both single and multiple outcomes for any 
particular experiment. The proof is not invalidated by moving to a many 
worlds scenario because, for any particular set of outcomes from the 
measurements on each of the entangled particles, there is only a finite 
number of possible joint worlds that can be produced. Each of these 

Re: Non-locality and MWI

2016-05-10 Thread smitra

On 11-05-2016 00:39, Bruce Kellett wrote:

On 11/05/2016 1:54 am, smitra wrote:

On 10-05-2016 06:04, Bruce Kellett wrote:


Non-locality was not the issue with this example of the cat in the
box. All I was seeking to establish was that the observer maybe on
definite branches of the wave function (i.e., have been "split")
without knowing about it. The wave function here is taken to be an
objective description of the system, and the observer is part of the
wave function. So the observer might well be on both the cat-dead and
cat-alive branches, but be unaware of which. The cat is definitely
dead on the cat-dead branch and alive on the cat-alive branch. So 
this

is an objective fact of the evolved wave function, even thought the
observer has no yet self-located. Opening the box then conveys
information to the observer, but does not kill the cat, or cause the
split in the wave function, or the observer. The duplicated persons
may objectively be, one in Washington and one in Moscow, without 
being
aware of which city (branch of the wave function) they are in. 
Opening

the door and finding out conveys information, but does not transport
the person to that city.


Yes, but even in the case of the observer getting localized without he 
or she consciously being aware of that, this localization effect will 
still be due to local interaction with the branches in the region 
he/she is in. So whether or not localization in a branch requires 
conscious awareness of the differences between the two branches isn't 
relevant.


This means that when Alice is on her way to meet with Bob, she won't 
be localized inside Bob's branches corresponding to Bob having 
obtained definite results with definite polarizer settings, at least 
until that time she gets located inside the light cone emanating from 
the points at Bob's location at the times when the relevant 
information about these facts were created.


So what? The information is already present in the wave function--
nothing new is created when the light cones overlap.



The localization of Alice inside Bob's branches and vice versa can only 
start at that point. Decoherence happens fast but this entanglement 
involving more and more of he environmental degrees of freedom can only 
spread at the speed of light.


This means that the MWI does not have the same issue w.r.t. non-locality 
as collapse interpretations have where only one branch is real.


Saibal

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Re: Non-locality and MWI

2016-05-10 Thread Bruce Kellett

On 11/05/2016 1:54 am, smitra wrote:

On 10-05-2016 06:04, Bruce Kellett wrote:


Non-locality was not the issue with this example of the cat in the
box. All I was seeking to establish was that the observer maybe on
definite branches of the wave function (i.e., have been "split")
without knowing about it. The wave function here is taken to be an
objective description of the system, and the observer is part of the
wave function. So the observer might well be on both the cat-dead and
cat-alive branches, but be unaware of which. The cat is definitely
dead on the cat-dead branch and alive on the cat-alive branch. So this
is an objective fact of the evolved wave function, even thought the
observer has no yet self-located. Opening the box then conveys
information to the observer, but does not kill the cat, or cause the
split in the wave function, or the observer. The duplicated persons
may objectively be, one in Washington and one in Moscow, without being
aware of which city (branch of the wave function) they are in. Opening
the door and finding out conveys information, but does not transport
the person to that city.


Yes, but even in the case of the observer getting localized without he 
or she consciously being aware of that, this localization effect will 
still be due to local interaction with the branches in the region 
he/she is in. So whether or not localization in a branch requires 
conscious awareness of the differences between the two branches isn't 
relevant.


This means that when Alice is on her way to meet with Bob, she won't 
be localized inside Bob's branches corresponding to Bob having 
obtained definite results with definite polarizer settings, at least 
until that time she gets located inside the light cone emanating from 
the points at Bob's location at the times when the relevant 
information about these facts were created.


So what? The information is already present in the wave function-- 
nothing new is created when the light cones overlap.


Bruce

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R: Re: R: Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread 'scerir' via Everything List
.
I think we all agree that QM-with-collapse entails a violation of Locality. The 
debate was for the case of the non-single value QM, that is 
QM-without-collapse, where all branches of the wave are kept "alive".
Bruno

As somebody wrote "Algebraic nonseparability entails geometric nonlocality; 
emphasis on its time aspect can be worded atemporality." (Olivier Costa de 
Beauregard).
And yes, in QM without collapse (without reduction of probability packet), all 
branches are kept alive (with some probability or weight attached to each 
world; with a conservation of energy not well defined in each world or, better, 
during each split; and with a strange concept of locality - because there are 
"many" decohering "worlds").
s.






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Re: R: Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruno Marchal


On 10 May 2016, at 19:06, 'scerir' via Everything List wrote:




Messaggio originale
Da: Bruno Marchal <marc...@ulb.ac.be>
Data: 10/05/2016 18.31
A: <everything-list@googlegroups.com>
Ogg: Re: R: Re: R: Re: Non-locality and MWI (literature)


On 10 May 2016, at 15:37, 'scerir' via Everything List wrote:



Thanks Scerir, but yet again, this paper get the same conclusion as  
mine (and most people here). With the MWI, non-locality does not  
imply action-at-a distance. (d'Espagnat would call it non- 
separability).


What I look for would be a paper which would show that in the MWI  
there are action-at-a-distance, like Bruce and John C claim.


I might comment later, as I am late in my scheduling, but will just  
notice that Gisin's paper (mentionned by Brent) use the non- 
compatibilist theory of free-will, which makes no-sense to a  
mechanist. I think Brent concluded similarly.


Bruno




If A and B are two wings of a typical Bell apparatus, i the  
observable to be measured in A
and x its possible value, j is the observable to be measured in B  
and y its possible value,

and if Lambda are hidden variables, we could write


Locality Condition
p_A,Lambda (x|i,j) = p_A,Lambda (x|i)
p_B,Lambda (y|i,j) = p_B,Lambda (y|j)

Separability Condition
p_A,Lambda (x|i,j,y) = p_A,Lambda (x|i,j)
p_B,Lambda (y|i,j,x) = P_B,Lambda (y|i,j)

There is (was) some agreement that a (phantomatic) deterministic  
theory (i.e. one in which
the range of any probability distribution of outcomes is the set: 0  
or 1)



?

The question is: are the probabilities, or the indeterminacies, and  
the non locality,   phenomenological (1p)  or factual (ontological,  
real, 3p)?


QM+collapse admit factual indeterminacies  (God plays dice, and  
there are action at a distance, even if they cannot be used to  
transmit signal quicker than light).


QM-without-collapse is purely deterministic at the 3p level, and  
admits indeterminacies at the phenomenological level.


I think everyone agree on this.

The debate is on the following question: does QM-without-collapse  
admit factual non-locality (real physical action at a distance, like  
QM-with-collapse), or do the non-locality becomes, like the  
indeterminacy, phenomenological?
(I think yes, as Jesse, Saibal and others, but it seems Bruce and  
John C. differ on this).


 Frankly it is not easy for me to say anything about that, at  
least something consistent. Mainly because "Many-worlds with its  
multiplicity of results in different worlds violates CFD, of course,  
and thus can be local. Thus many-worlds is the only local quantum  
theory in accord with the standard predictions of QM and, so far,  
with experiment.".





reproducing all the predictions of QM, can not violate the
Separability Condition, (the specification of Lambda, i, j, in  
principle determines

completely the outcomes x, y, then any additional conditioning on
x or y is superfluous, having x and y just one value allowed, so they
cannot affect the probability, which - in a deterministic theory -  
can

just take the values 0 or 1) and must violate the Locality
Condition.

Following the above reasoning MWI (if it is a truly deterministic  
theory)

should violate the locality condition.


I doubt this, but if you find a proof, in the literature (or not), I  
am interested. As I explained, and also give references, it seems to  
me that the MWI restores both 3p determinacy and 3p locality, making  
both the indeterminacy and non-locality only first person plural  
phenomenological happening. That is also Everett's position, and I  
would say the position of most Everettian (I still don't find any  
Everettian claiming that the MWI remains non-local, except the  
beginners who often think at first that the entire universe split  
instantaneously, but this does not deserve to be commented as nobody  
believes in this anymore).


Bruno

 Jarrett, but also Shimony, and also Ghirardi, gave the proof  
that a *deterministic* QM (I should say a *deterministic and single- 
valued* QM)


Yes, that is important to add. It was notoriously implicit in EPR and  
Bell 1964, even after.




must violate the Locality Condition.


EPR and Bell shows this, and the usual papers (Clauser and Horne,  
Clauser Horne Shimony, Holt, Aspect, ...).




I do not have references at hand, right now. I'll write down  
something as soon as possible.


I think we all agree that QM-with-collapse entails a violation of  
Locality. The debate was for the case of the non-single value QM, that  
is QM-without-collapse, where all branches of the wave are kept "alive".


Bruno










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Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruno Marchal


On 10 May 2016, at 18:36, 'scerir' via Everything List wrote:



scerir wrote:

If A and B are two wings of a typical Bell apparatus, i the  
observable to be measured in A
and x its possible value, j is the observable to be measured in B  
and y its possible value,

and if Lambda are hidden variables, we could write

Locality Condition
p_A,Lambda (x|i,j) = p_A,Lambda (x|i)
p_B,Lambda (y|i,j) = p_B,Lambda (y|j)

Separability Condition
p_A,Lambda (x|i,j,y) = p_A,Lambda (x|i,j)
p_B,Lambda (y|i,j,x) = p_B,Lambda (y|i,j)

There is (or was) some agreement that a (phantomatic) deterministic  
theory (i.e. one in which
the range of any probability distribution of outcomes is the set: 0  
or 1)

reproducing all the predictions of QM, can not violate the
Separability Condition, (the specification of Lambda, i, j, in  
principle determines

completely the outcomes x, y, then any additional conditioning on
x or y is superfluous, having x and y just one value allowed, so they
cannot affect the probability, which - in a deterministic theory - can
just take the values 0 or 1) and must violate the Locality
Condition.

Following the above reasoning, MWI (if it is a truly deterministic  
theory)

should violate the Locality Condition.

 ---

### Since the Everett faq gives the following .

"To recap. Many-worlds is local and deterministic. Local  
measurements split local systems (including observers) in a  
subjectively random fashion; distant systems are only split when the  
causally transmitted effects of the local interactions reach them.  
We have not assumed any non-local FTL effects, yet we have  
reproduced the standard predictions of QM. So where did Bell and  
Eberhard go wrong? They thought that all theories that reproduced  
the standard predictions must be non-local. It has been pointed out  
by both Albert [A] and Cramer [C] (who both support different  
interpretations of QM) that Bell and Eberhard had implicity assumed  
that every possible measurement - even if not performed - would have  
yielded a single definite result. This assumption is called contra- 
factual definiteness or CFD [S]. What Bell and Eberhard really  
proved was that every quantum theory must either violate locality or  
CFD. Many-worlds with its multiplicity of results in different  
worlds violates CFD, of course, and thus can be local."


So, I should say that . MWI (if it is a truly deterministic  
theory, reproducing all the
predictions of QM) should violate the Locality Condition but, in  
fact, it violates CFD only :-).


Exactly.  I think we are on the same length wave (as we say in french  
for assessment). And that is why QM-without collapse needs only the  
computationalist First Person Indeterminacy (FPI), making QM facts  
confirming mechanism instead of threatening it (which is what would  
happen if we allow collapse, or worst, direct action of consciousness  
on the physical).


Like with Gödels theorem, QM seems to threat mechanism, but eventually  
appears to be an ally, and perhaps a confirmation, (which of course is  
not a proof, but we can't prove anything on reality, nor even that it  
exists. We can only bet on it.).


Bruno














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R: Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread 'scerir' via Everything List





Messaggio originale

Da: Bruno Marchal <marc...@ulb.ac.be>

Data: 10/05/2016 18.31

A: <everything-list@googlegroups.com>

Ogg: Re: R: Re: R: Re: Non-locality and MWI (literature)




On 10 May 2016, at 15:37, 'scerir' via Everything List wrote:
Thanks Scerir, but yet again, this paper get the same conclusion as mine (and 
most people here). With the MWI, non-locality does not imply action-at-a 
distance. (d'Espagnat would call it non-separability).
What I look for would be a paper which would show that in the MWI there are 
action-at-a-distance, like Bruce and John C claim.
I might comment later, as I am late in my scheduling, but will just notice that 
Gisin's paper (mentionned by Brent) use the non-compatibilist theory of 
free-will, which makes no-sense to a mechanist. I think Brent concluded 
similarly.
Bruno



If A and B are two wings of a typical Bell apparatus, i the observable to be 
measured in A
and x its possible value, j is the observable to be measured in B and y its 
possible value,
and if Lambda are hidden variables, we could write

Locality Condition 
p_A,Lambda (x|i,j) = p_A,Lambda (x|i)
p_B,Lambda (y|i,j) = p_B,Lambda (y|j)
Separability Condition 
p_A,Lambda (x|i,j,y) = p_A,Lambda (x|i,j)
p_B,Lambda (y|i,j,x) = P_B,Lambda (y|i,j)
There is (was) some agreement that a (phantomatic) deterministic theory (i.e. 
one in which the range of any probability distribution of outcomes is the set: 
0 or 1)


?
The question is: are the probabilities, or the indeterminacies, and the non 
locality,   phenomenological (1p)  or factual (ontological, real, 3p)?
QM+collapse admit factual indeterminacies  (God plays dice, and there are 
action at a distance, even if they cannot be used to transmit signal quicker 
than light).
QM-without-collapse is purely deterministic at the 3p level, and admits 
indeterminacies at the phenomenological level. 
I think everyone agree on this.
The debate is on the following question: does QM-without-collapse admit factual 
non-locality (real physical action at a distance, like QM-with-collapse), or do 
the non-locality becomes, like the indeterminacy, phenomenological? (I think 
yes, as Jesse, Saibal and others, but it seems Bruce and John C. differ on 
this).
 Frankly it is not easy for me to say anything about that, at least 
something consistent. Mainly because "Many-worlds with its multiplicity of 
results in different worlds violates CFD, of course, and thus can be local. 
Thus many-worlds is the only local quantum theory in accord with the standard 
predictions of QM and, so far, with experiment.". 


reproducing all the predictions of QM, can not violate the
Separability Condition, (the specification of Lambda, i, j, in principle 
determines
completely the outcomes x, y, then any additional conditioning on
x or y is superfluous, having x and y just one value allowed, so they
cannot affect the probability, which - in a deterministic theory - can
just take the values 0 or 1) and must violate the Locality
Condition.
Following the above reasoning MWI (if it is a truly deterministic theory) 
should violate the locality condition.
I doubt this, but if you find a proof, in the literature (or not), I am 
interested. As I explained, and also give references, it seems to me that the 
MWI restores both 3p determinacy and 3p locality, making both the indeterminacy 
and non-locality only first person plural phenomenological happening. That is 
also Everett's position, and I would say the position of most Everettian (I 
still don't find any Everettian claiming that the MWI remains non-local, except 
the beginners who often think at first that the entire universe split 
instantaneously, but this does not deserve to be commented as nobody believes 
in this anymore).
Bruno
 Jarrett, but also Shimony, and also Ghirardi, gave the proof that a 
*deterministic* QM (I should say a *deterministic and single-valued* QM) must 
violate the Locality Condition. I do not have references at hand, right now. 
I'll write down something as soon as possible.



 
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R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread 'scerir' via Everything List


scerir wrote:

If A and B are two wings of a typical Bell apparatus, i the observable to be 
measured in A
and x its possible value, j is the observable to be measured in B and y its 
possible value,
and if Lambda are hidden variables, we could write
Locality Condition 
p_A,Lambda (x|i,j) = p_A,Lambda (x|i)
p_B,Lambda (y|i,j) = p_B,Lambda (y|j)
Separability Condition 
p_A,Lambda (x|i,j,y) = p_A,Lambda (x|i,j)
p_B,Lambda (y|i,j,x) = p_B,Lambda (y|i,j)
There is (or was) some agreement that a (phantomatic) deterministic theory 
(i.e. one in which the range of any probability distribution of outcomes is the 
set: 0 or 1)
reproducing all the predictions of QM, can not violate the
Separability Condition, (the specification of Lambda, i, j, in principle 
determines
completely the outcomes x, y, then any additional conditioning on
x or y is superfluous, having x and y just one value allowed, so they
cannot affect the probability, which - in a deterministic theory - can
just take the values 0 or 1) and must violate the Locality
Condition.
Following the above reasoning, MWI (if it is a truly deterministic theory) 
should violate the Locality Condition.
 ---
### Since the Everett faq gives the following .
"To recap.  Many-worlds is local and deterministic.  Local measurements split 
local systems (including observers) in a subjectively random fashion; distant 
systems are only split when the causally transmitted effects of the local 
interactions reach them.  We have not assumed any non-local FTL effects, yet we 
have reproduced the standard predictions of QM. So where did Bell and Eberhard 
go wrong?  They thought that all theories that reproduced the standard 
predictions must be non-local.  It has been pointed out by both Albert [A] and 
Cramer [C] (who both support different interpretations of QM) that Bell and 
Eberhard had implicity assumed that every possible measurement - even if not 
performed - would have yielded a single definite result.  This assumption is 
called contra-factual definiteness or CFD [S].  What Bell and Eberhard really 
proved was that every quantum theory must either violate locality or CFD.  
Many-worlds with its multiplicity of results in different worlds violates CFD, 
of course, and thus can be local."
So, I should say that . MWI (if it is a truly deterministic theory, 
reproducing all thepredictions of QM) should violate the Locality Condition 
but, in fact, it violates CFD only :-).












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Re: R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruno Marchal


On 10 May 2016, at 15:37, 'scerir' via Everything List wrote:



Thanks Scerir, but yet again, this paper get the same conclusion as  
mine (and most people here). With the MWI, non-locality does not  
imply action-at-a distance. (d'Espagnat would call it non- 
separability).


What I look for would be a paper which would show that in the MWI  
there are action-at-a-distance, like Bruce and John C claim.


I might comment later, as I am late in my scheduling, but will just  
notice that Gisin's paper (mentionned by Brent) use the non- 
compatibilist theory of free-will, which makes no-sense to a  
mechanist. I think Brent concluded similarly.


Bruno




If A and B are two wings of a typical Bell apparatus, i the  
observable to be measured in A
and x its possible value, j is the observable to be measured in B  
and y its possible value,

and if Lambda are hidden variables, we could write


Locality Condition
p_A,Lambda (x|i,j) = p_A,Lambda (x|i)
p_B,Lambda (y|i,j) = p_B,Lambda (y|j)

Separability Condition
p_A,Lambda (x|i,j,y) = p_A,Lambda (x|i,j)
p_B,Lambda (y|i,j,x) = P_B,Lambda (y|i,j)

There is (was) some agreement that a (phantomatic) deterministic  
theory (i.e. one in which
the range of any probability distribution of outcomes is the set: 0  
or 1)



?

The question is: are the probabilities, or the indeterminacies, and  
the non locality,   phenomenological (1p)  or factual (ontological,  
real, 3p)?


QM+collapse admit factual indeterminacies  (God plays dice, and there  
are action at a distance, even if they cannot be used to transmit  
signal quicker than light).


QM-without-collapse is purely deterministic at the 3p level, and  
admits indeterminacies at the phenomenological level.


I think everyone agree on this.

The debate is on the following question: does QM-without-collapse  
admit factual non-locality (real physical action at a distance, like  
QM-with-collapse), or do the non-locality becomes, like the  
indeterminacy, phenomenological?
(I think yes, as Jesse, Saibal and others, but it seems Bruce and John  
C. differ on this).





reproducing all the predictions of QM, can not violate the
Separability Condition, (the specification of Lambda, i, j, in  
principle determines

completely the outcomes x, y, then any additional conditioning on
x or y is superfluous, having x and y just one value allowed, so they
cannot affect the probability, which - in a deterministic theory - can
just take the values 0 or 1) and must violate the Locality
Condition.

Following the above reasoning MWI (if it is a truly deterministic  
theory)

should violate the locality condition.


I doubt this, but if you find a proof, in the literature (or not), I  
am interested. As I explained, and also give references, it seems to  
me that the MWI restores both 3p determinacy and 3p locality, making  
both the indeterminacy and non-locality only first person plural  
phenomenological happening. That is also Everett's position, and I  
would say the position of most Everettian (I still don't find any  
Everettian claiming that the MWI remains non-local, except the  
beginners who often think at first that the entire universe split  
instantaneously, but this does not deserve to be commented as nobody  
believes in this anymore).


Bruno







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Re: Non-locality and MWI

2016-05-10 Thread smitra

On 10-05-2016 06:04, Bruce Kellett wrote:


Non-locality was not the issue with this example of the cat in the
box. All I was seeking to establish was that the observer maybe on
definite branches of the wave function (i.e., have been "split")
without knowing about it. The wave function here is taken to be an
objective description of the system, and the observer is part of the
wave function. So the observer might well be on both the cat-dead and
cat-alive branches, but be unaware of which. The cat is definitely
dead on the cat-dead branch and alive on the cat-alive branch. So this
is an objective fact of the evolved wave function, even thought the
observer has no yet self-located. Opening the box then conveys
information to the observer, but does not kill the cat, or cause the
split in the wave function, or the observer. The duplicated persons
may objectively be, one in Washington and one in Moscow, without being
aware of which city (branch of the wave function) they are in. Opening
the door and finding out conveys information, but does not transport
the person to that city.


Yes, but even in the case of the observer getting localized without he 
or she consciously being aware of that, this localization effect will 
still be due to local interaction with the branches in the region he/she 
is in. So whether or not localization in a branch requires conscious 
awareness of the differences between the two branches isn't relevant.


This means that when Alice is on her way to meet with Bob, she won't be 
localized inside Bob's branches corresponding to Bob having obtained 
definite results with definite polarizer settings, at least until that 
time she gets located inside the light cone emanating from the points at 
Bob's location at the times when the relevant information about these 
facts were created.


Saibal

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R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread 'scerir' via Everything List

Thanks Scerir, but yet again, this paper get the same conclusion as mine (and 
most people here). With the MWI, non-locality does not imply action-at-a 
distance. (d'Espagnat would call it non-separability).
What I look for would be a paper which would show that in the MWI there are 
action-at-a-distance, like Bruce and John C claim.
I might comment later, as I am late in my scheduling, but will just notice that 
Gisin's paper (mentionned by Brent) use the non-compatibilist theory of 
free-will, which makes no-sense to a mechanist. I think Brent concluded 
similarly.
Bruno



If A and B are two wings of a typical Bell apparatus, i the observable to be 
measured in A
and x its possible value, j is the observable to be measured in B and y its 
possible value,
and if Lambda are hidden variables, we could write

Locality Condition 
p_A,Lambda (x|i,j) = p_A,Lambda (x|i)
p_B,Lambda (y|i,j) = p_B,Lambda (y|j)
Separability Condition 
p_A,Lambda (x|i,j,y) = p_A,Lambda (x|i,j)
p_B,Lambda (y|i,j,x) = P_B,Lambda (y|i,j)
There is (was) some agreement that a (phantomatic) deterministic theory (i.e. 
one in which the range of any probability distribution of outcomes is the set: 
0 or 1)
reproducing all the predictions of QM, can not violate the
Separability Condition, (the specification of Lambda, i, j, in principle 
determines
completely the outcomes x, y, then any additional conditioning on
x or y is superfluous, having x and y just one value allowed, so they
cannot affect the probability, which - in a deterministic theory - can
just take the values 0 or 1) and must violate the Locality
Condition.
Following the above reasoning MWI (if it is a truly deterministic theory) 
should violate the locality condition.
 

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Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruce Kellett

On 10/05/2016 10:31 pm, Bruno Marchal wrote:

On 10 May 2016, at 09:00, 'scerir' via Everything List wrote:



Bruno (I suppose) wrote:

But in the MWI, some work needs to be done (at least) to
convince me. I don't even find a paper on the subject, only
paper which shows that MWI is local (some more rigorous than
other). Do you have a reference of a paper showing that Bell's
inequality violation entails non locality in the MWI? I would
like to take a look on it, if it exists.

### W. Myrvold wrote something here
http://philsci-archive.pitt.edu/11654/ (see ch. 0.8)




Thanks Scerir, but yet again, this paper get the same conclusion as 
mine (and most people here). With the MWI, non-locality does not imply 
action-at-a distance. (d'Espagnat would call it non-separability).


There seems to be a degree of terminological confusion surrounding this 
topic. Non-locality, for me, means that the measurement at A influences 
the measurement at B. But this influence is not manipulable, so it 
cannot be used for signalling. In other words, quantum mechanics obeys 
the standard no-signalling theorems (and is thus consistent with special 
relativity), while being non-local in the sense that the measurements at 
A and B are not independent. Call this non-separability if you will -- 
the terminology should not make any difference, provided we are clear as 
to what the terms mean.


Bruce


What I look for would be a paper which would show that in the MWI 
there are action-at-a-distance, like Bruce and John C claim.


I might comment later, as I am late in my scheduling, but will just 
notice that Gisin's paper (mentionned by Brent) use the 
non-compatibilist theory of free-will, which makes no-sense to a 
mechanist. I think Brent concluded similarly.


Bruno


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Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruno Marchal


On 10 May 2016, at 09:00, 'scerir' via Everything List wrote:



Bruno (I suppose) wrote:
But in the MWI, some work needs to be done (at least) to convince  
me. I don't even find a paper on the subject, only paper which  
shows that MWI is local (some more rigorous than other). Do you  
have a reference of a paper showing that Bell's inequality  
violation entails non locality in the MWI? I would like to take a  
look on it, if it exists.


### W. Myrvold wrote something here http://philsci-archive.pitt.edu/11654/ 
 (see ch. 0.8)






Thanks Scerir, but yet again, this paper get the same conclusion as  
mine (and most people here). With the MWI, non-locality does not imply  
action-at-a distance. (d'Espagnat would call it non-separability).


What I look for would be a paper which would show that in the MWI  
there are action-at-a-distance, like Bruce and John C claim.


I might comment later, as I am late in my scheduling, but will just  
notice that Gisin's paper (mentionned by Brent) use the non- 
compatibilist theory of free-will, which makes no-sense to a  
mechanist. I think Brent concluded similarly.


Bruno







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http://iridia.ulb.ac.be/~marchal/



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R: Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread 'scerir' via Everything List



### W. Myrvold wrote something here 
http://philsci-archive.pitt.edu/11654/ (see
  ch. 0.8)
  

  





It seems that he is saying that 'action-at-a-distance' is something
that would violate the 'no-signalling theorem' of quantum mechanics.
So he sees experimental violation of the Bell inequalities as
evidence for non-locality, but not necessarily evidence for
action-at-a-distance in the above sense. I would agree with his
conclusion that both collapse and Everettian theories are like this
-- non-local, but also non-signalling at spacelike separations.



Bruce

  






### Yes, It seems so. There is - in general - some confusion between 
'nonlocality' and 'nonseparability'. Not to mention also 'action-at-a-distance' 
and 'locality of measurement' and "local causality" and so on. Myrvold et al. 
wrote something else here 
http://philsci-archive.pitt.edu/4222/1/everett_and_evidence_21aug08.pdf 
(general objections to Everettism).
"Now it is precisely in cleaning up intuitive ideas for mathematics that one is 
likely to throw out the baby with the bathwater."
J.S. Bell (quoted here https://arxiv.org/pdf/1007.3724.pdf )














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Re: R: Re: Non-locality and MWI (literature)

2016-05-10 Thread Bruce Kellett

On 10/05/2016 5:00 pm, 'scerir' via Everything List wrote:

Bruno (I suppose) wrote:


But in the MWI, some work needs to be done (at least) to convince
me. I don't even find a paper on the subject, only paper which
shows that MWI is local (some more rigorous than other). Do you
have a reference of a paper showing that Bell's inequality
violation entails non locality in the MWI? I would like to take a
look on it, if it exists.

### W. Myrvold wrote something here
http://philsci-archive.pitt.edu/11654/ (see ch. 0.8)





It seems that he is saying that 'action-at-a-distance' is something that 
would violate the 'no-signalling theorem' of quantum mechanics. So he 
sees experimental violation of the Bell inequalities as evidence for 
non-locality, but not necessarily evidence for action-at-a-distance in 
the above sense. I would agree with his conclusion that both collapse 
and Everettian theories are like this -- non-local, but also 
non-signalling at spacelike separations.


Bruce

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R: Re: Non-locality and MWI (literature)

2016-05-10 Thread 'scerir' via Everything List


Bruno (I suppose) wrote:

But in the MWI, some work needs to be done (at least) to
  convince me. I don't even find a paper on the subject, only
  paper which shows that MWI is local (some more rigorous than
  other). Do you have a reference of a paper showing that Bell's
  inequality violation entails non locality in the MWI? I would
  like to take a look on it, if it exists.
### W. Myrvold wrote something here http://philsci-archive.pitt.edu/11654/ (see 
ch. 0.8)
  





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Re: Non-locality and MWI

2016-05-09 Thread Bruce Kellett

On 10/05/2016 1:06 pm, smitra wrote:

On 10-05-2016 01:35, Bruce Kellett wrote:

On 10/05/2016 2:42 am, smitra wrote:


On 09-05-2016 07:43, Bruce Kellett wrote:
On 9/05/2016 3:17 pm, smitra wrote:
On 09-05-2016 03:40, Bruce Kellett wrote:

The idea that Alice splits further into different branches
according
to Bob's results only after their respective light cones overlap is
an
interpretive gloss on the theory (which, as already pointed out,
you
do not apply consistently) -- it is not there in the mathematics.
Alice and Bob are in the same world even at spacelike separations.
This must be the case, or else my feet would be in a different
world
from my head at every single instant of time. So Bob and Alice
separate in the same world. When they perform their measurements
there
is a Bob in each world created by Alice's results, and an Alice in
every world created by Bob's results. The fact that neither Alice
nor
Bob do not know the other's result does not mean that there are no
such results. Are there separate worlds in which these results are
combined? It doesn't really matter, because anything that can be
seen
when information is exchanged is already set: the exchange of
information is like opening the box -- the cat is already either
alive
or dead, opening the box does not change that. So Alice and Bob
talking to each other does not change anything either. The results
are
already present in the universal wave function -- talk of splitting

into worlds is irrelevant to the universal wave function and the
unitary dynamics. So the fact that A does not know B's results at
some
time is irrelevant -- the results are already there. The question
of
who knows what is not a relevant question for the universal wave
function. And the universal wave function takes account of the
unity
of the singlet state and the reality of non-local effects.

And this is the core of the disagreement, you say that the results
are already there, but in the MWI this is false.


 What? Are you claiming the the universal wave function -- which
 contains all possible branches corresponding to all possible outcomes

 -- does not contain the results? I think what you mean is that you do

 not know the result (which branch you are on) until you open the box.

 But that does not mean that you are not on one branch or the other.
 The death of the cat (if it be so) can be in your past light cone, so

 the splitting of worlds occasioned by that death has already split
 you. Your knowledge of this is strictly irrelevant. You can be in a
 particular world without being aware of it. In Bruno's famous person
 duplication experiments, you are in either Washington or Moscow
before
 you are necessarily ever aware of which city it is. You make personal

 knowledge of outcomes far too prominent in your theory; things can
 actually happen without your being aware of them!

 While your body does split up, if you don't have the "which branch"
information then you are in both branches until that time that you do
have this information.
 Nah. That places far too much emphasis on the conscious mind --
making "what you know" the determiner of physical reality. I think
Brent might refer to this as QBism (Quantum Bayesianism). A person is
more than just what they happen to be thinking at the moment. If the
body participates in the split, the brain also so participates.
Instantaneous conscious (or computational) states are transient, and
will be influenced by many external influences. Your suggestion, if
taken literally, would have us fluctuating uncontrollably between one
world or many. Not a good idea. I think we have to gives some
significance to the objective state of the wave function. That is what
is determined by unitary evolution; what we think about it is
irreducibly secondary.


One has to be more rigorous about including the observer here. In the 
MWI there is no excuse to not do this as it's a complete theory and in 
this discussion we're assuming that the MWI is correct, which 
supposedly leads to a problem with non-locality just as in collapse 
interpretations.


So, the computational state you are in at some moment may contain 
noise. Even if that noise is perfectly correlated with the state of 
the cat, this would then mean that you end up in a branch where the 
fate of the cat is determined due to the addition of the noise in your 
brain. There is then no difference between the noiseless case as far 
as the necessity for a local interaction is concerned (we're replacing 
explicit communication of the facts with implicit information transfer 
via noise).



If we consider ourselves as programs run by our brains and consider
some well defined computational state, look at all the branches
where that particular computational state is implemented, then
you'll find that it's present in both situations where the
information about the cat is different.


 Hmm. I think there may be a typo here. If the information about the
cat is different, it would suggest 

Re: Non-locality and MWI

2016-05-09 Thread smitra

On 10-05-2016 01:35, Bruce Kellett wrote:

On 10/05/2016 2:42 am, smitra wrote:


On 09-05-2016 07:43, Bruce Kellett wrote:
On 9/05/2016 3:17 pm, smitra wrote:
On 09-05-2016 03:40, Bruce Kellett wrote:

The idea that Alice splits further into different branches
according
to Bob's results only after their respective light cones overlap is
an
interpretive gloss on the theory (which, as already pointed out,
you
do not apply consistently) -- it is not there in the mathematics.
Alice and Bob are in the same world even at spacelike separations.
This must be the case, or else my feet would be in a different
world
from my head at every single instant of time. So Bob and Alice
separate in the same world. When they perform their measurements
there
is a Bob in each world created by Alice's results, and an Alice in
every world created by Bob's results. The fact that neither Alice
nor
Bob do not know the other's result does not mean that there are no
such results. Are there separate worlds in which these results are
combined? It doesn't really matter, because anything that can be
seen
when information is exchanged is already set: the exchange of
information is like opening the box -- the cat is already either
alive
or dead, opening the box does not change that. So Alice and Bob
talking to each other does not change anything either. The results
are
already present in the universal wave function -- talk of splitting

into worlds is irrelevant to the universal wave function and the
unitary dynamics. So the fact that A does not know B's results at
some
time is irrelevant -- the results are already there. The question
of
who knows what is not a relevant question for the universal wave
function. And the universal wave function takes account of the
unity
of the singlet state and the reality of non-local effects.

And this is the core of the disagreement, you say that the results
are already there, but in the MWI this is false.


 What? Are you claiming the the universal wave function -- which
 contains all possible branches corresponding to all possible outcomes

 -- does not contain the results? I think what you mean is that you do

 not know the result (which branch you are on) until you open the box.

 But that does not mean that you are not on one branch or the other.
 The death of the cat (if it be so) can be in your past light cone, so

 the splitting of worlds occasioned by that death has already split
 you. Your knowledge of this is strictly irrelevant. You can be in a
 particular world without being aware of it. In Bruno's famous person
 duplication experiments, you are in either Washington or Moscow
before
 you are necessarily ever aware of which city it is. You make personal

 knowledge of outcomes far too prominent in your theory; things can
 actually happen without your being aware of them!

 While your body does split up, if you don't have the "which branch"
information then you are in both branches until that time that you do
have this information.
 Nah. That places far too much emphasis on the conscious mind --
making "what you know" the determiner of physical reality. I think
Brent might refer to this as QBism (Quantum Bayesianism). A person is
more than just what they happen to be thinking at the moment. If the
body participates in the split, the brain also so participates.
Instantaneous conscious (or computational) states are transient, and
will be influenced by many external influences. Your suggestion, if
taken literally, would have us fluctuating uncontrollably between one
world or many. Not a good idea. I think we have to gives some
significance to the objective state of the wave function. That is what
is determined by unitary evolution; what we think about it is
irreducibly secondary.


One has to be more rigorous about including the observer here. In the 
MWI there is no excuse to not do this as it's a complete theory and in 
this discussion we're assuming that the MWI is correct, which supposedly 
leads to a problem with non-locality just as in collapse 
interpretations.


So, the computational state you are in at some moment may contain noise. 
Even if that noise is perfectly correlated with the state of the cat, 
this would then mean that you end up in a branch where the fate of the 
cat is determined due to the addition of the noise in your brain. There 
is then no difference between the noiseless case as far as the necessity 
for a local interaction is concerned (we're replacing explicit 
communication of the facts with implicit information transfer via 
noise).






If we consider ourselves as programs run by our brains and consider
some well defined computational state, look at all the branches
where that particular computational state is implemented, then
you'll find that it's present in both situations where the
information about the cat is different.


 Hmm. I think there may be a typo here. If the information about the
cat is different, it would suggest that the computational state of 

Re: Non-locality and MWI (literature)

2016-05-09 Thread Bruce Kellett
ty violation testing does not test locality, but the 
MWI itself.


I think that is why you are so resistant to seeing that there is a 
better account than that given by Brown and Timpson, and many others. 
The reality of non-local effects does not necessarily spell the end 
of the MWI


Nobody said that. It signs only the end of Einstein's relativity 
theory. And of rationality, I might guess. But we are used to humans 
abandoning rationality when they don't grasp something.


If Nature is not local, that might be an evidence more that we are 
dreaming, and thus an argument more for computationalism, but yet I 
don't see any non-locality once we interpret the wave "literally". The 
MW *is* the main loophole in the implication "Bell's violation ===> 
non local action at a distance".


It is by interpreting the wave function "literally", rather than 
selectively as you do, that we see the evidence of non-locality.


...

To say that there is a real physical action at a distance is gross 
(even if 100% of the physicists would say so). Bell's inequality 
violation shows that this happens, very clearly, when we believe in 
the unicity of outcomes of measurement, OK.


But the uniqueness of outcomes is not a requirement for the 
demonstration of locality to go through. That is what I have been 
arguing all along.


But in the MWI, some work needs to be done (at least) to convince me. 
I don't even find a paper on the subject, only paper which shows that 
MWI is local (some more rigorous than other). Do you have a reference 
of a paper showing that Bell's inequality violation entails non 
locality in the MWI? I would like to take a look on it, if it exists.


I have not seen anything published along these lines. That does not mean 
that no such papers exist -- I have not really been keeping up with all 
the literature in recent years. But I do know that many remain 
unconvinced by the many worlds argument, and it is clear that Bell's 
theorem does not ultimately depend on any assumption of collapse, 
despite claims to the contrary.


Many physicists just never think about the many-worlds, and use QM as 
an instrument prediction only, and get shwoekd by Bell's result, 
without ever pondering about the fact that all outcomes are realized. 
That is why many believes in locality, they have just never study Everett.


Many physicists are instrumentalists at heart -- and who is to say that 
they are wrong? They are interested in results, after all: reality can 
look after itself!


Bruce

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Re: Non-locality and MWI

2016-05-09 Thread Bruce Kellett

On 10/05/2016 2:42 am, smitra wrote:

On 09-05-2016 07:43, Bruce Kellett wrote:

On 9/05/2016 3:17 pm, smitra wrote:

On 09-05-2016 03:40, Bruce Kellett wrote:


The idea that Alice splits further into different branches according
to Bob's results only after their respective light cones overlap is an
interpretive gloss on the theory (which, as already pointed out, you
do not apply consistently) -- it is not there in the mathematics.
Alice and Bob are in the same world even at spacelike separations.
This must be the case, or else my feet would be in a different world
from my head at every single instant of time. So Bob and Alice
separate in the same world. When they perform their measurements there
is a Bob in each world created by Alice's results, and an Alice in
every world created by Bob's results. The fact that neither Alice nor
Bob do not know the other's result does not mean that there are no
such results. Are there separate worlds in which these results are
combined? It doesn't really matter, because anything that can be seen
when information is exchanged is already set:  the exchange of
information is like opening the box -- the cat is already either alive
or dead, opening the box does not change that. So Alice and Bob
talking to each other does not change anything either. The results are
already present in the universal wave function -- talk of splitting
into worlds is irrelevant to the universal wave function and the
unitary dynamics. So the fact that A does not know B's results at some
time is irrelevant -- the results are already there. The question of
who knows what is not a relevant question for the universal wave
function. And the universal wave function takes account of the unity
of the singlet state and the reality of non-local effects.


And this is the core of the disagreement, you say that the results 
are already there, but in the MWI this is false.


What? Are you claiming the the universal wave function -- which
contains all possible branches corresponding to all possible outcomes
-- does not contain the results? I think what you mean is that you do
not know the result (which branch you are on) until you open the box.
But that does not mean that you are not on one branch or the other.
The death of the cat (if it be so) can be in your past light cone, so
the splitting of worlds occasioned by that death has already split
you. Your knowledge of this is strictly irrelevant. You can be in a
particular world without being aware of it. In Bruno's famous person
duplication experiments, you are in either Washington or Moscow before
you are necessarily ever aware of which city it is. You make personal
knowledge of outcomes far too prominent in your theory; things can
actually happen without your being aware of them!


While your body does split up, if you don't have the "which branch" 
information then you are in both branches until that time that you do 
have this information.


Nah. That places far too much emphasis on the conscious mind -- making 
"what you know" the determiner of physical reality. I think Brent might 
refer to this as QBism (Quantum Bayesianism). A person is more than just 
what they happen to be thinking at the moment. If the body participates 
in the split, the brain also so participates. Instantaneous conscious 
(or computational) states are transient, and will be influenced by many 
external influences. Your suggestion, if taken literally, would have us 
fluctuating uncontrollably between one world or many. Not a good idea. I 
think we have to gives some significance to the objective state of the 
wave function. That is what is determined by unitary evolution; what we 
think about it is irreducibly secondary.


If we consider ourselves as programs run by our brains and consider 
some well defined computational state, look at all the branches where 
that particular computational state is implemented, then you'll find 
that it's present in both situations where the information about the 
cat is different.


Hmm. I think there may be a typo here. If the information about the cat 
is different, it would suggest that the computational state of the brain 
is different -- information is reflected in the computational state, 
after all. If it is not, it is just noise, not information. By relying 
so completely on what we know, or our conscious state, I think you push 
computationalism beyond its reasonable limits.


Bruce

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Re: Non-locality and MWI

2016-05-09 Thread Brent Meeker



On 5/9/2016 9:26 AM, smitra wrote:

On 09-05-2016 07:37, Brent Meeker wrote:

On 5/8/2016 10:17 PM, smitra wrote:

On 09-05-2016 03:40, Bruce Kellett wrote:

On 9/05/2016 2:58 am, smitra wrote:

On 08-05-2016 01:52, Bruce Kellett wrote:


 The set-up of the experiment belies the second part of your 
comment.

The information about the angles was not in the initial state. Sure,
the dynamics of the interaction between the  particles and the
polarizer is local, and the polarizer angle is also set locally, but
the entangled state that interacts with the polarizer is itself not
local -- it is spread out in space. It is because the original
entangled state is spread out that the polarizers at each end 
react in

tandem -- giving rise to the non-locality. Interactions in this are
all local, the non-locality arises from the fact that the singlet
state itself is not localized.


Yes, but that's again a trivial non-local effect as the entangled 
spins were created locally in the past. In the MWI this only gives 
rise to non-local effects that are trivial common cause effects, 
unlike in single World interpretations.


It is not a common cause effect. The singlet state is, but the
polarizer setting of A and B are independently and freely chosen after
the particles are widely separated. There is no common cause for this.



Alternatively, you can let Alice and Bob do additional measurements
of quantum systems and then set the polarizer settings according to
what they find. In that case the information about the settings was
not put in the initial state but it then arises out of the 
dynamics.

However, you then get a superposition of all possibilities,


 Superposition of all which possibilities? I imagine that what 
you are

saying is that if the setting is chosen according to the outcome of
some other quantum event, then all possible outcomes of that 
event are

realized in different branches of a superposition, or in different
worlds. This does not actually help you. Remember that each of the
worlds in which these different settings obtain also contains a copy
of the same particle that is part of the entangled pair (Alice
measured the other part). So in each branch of your new 
superposition,

the same state is measured in some direction. Whichever branch Bob
then finds himself in, he still has eventually to communicate with
Alice. And all the Bob's in this picture have their own particular
theta and |+> or |-> result. The multiplication of possibilities for
Bob has not removed the problem of how this theta is determined for
each copy. The essential non-locality remains.


The relative angle theta is not determined for each copy 
separately, each branch of Alice contains all the branches of Bob 
where Bob chooses some angle and vice versa. The relative angle is 
only going to be determined later when Alice and Bob communicate, 
it's only then that Alice and Bob get localized into branches 
where the relative angle is determined.


This additional superposition that you are invoking is actually
irrelevant. It is quite common in physics to deal with such
superpositions by considering just one typical member of the
superposition and performing the calculation for that particular case.
The general superposed case can be added back later if required, but
it does not add anything new.

The paradigm illustration of this is in particle physics. Because of
the uncertainty principle, a particle is effectively never in an
eigenstate of either position or momentum -- it is typically a wave
packet, in which the spreads over various position and momentum
eigenstates are related by a Fourier transform. In order to calculate
scattering probability, for example, one works in momentum space by
choice since conservation of energy and momentum give considerable
kinematic simplifications. But one does not have to do the calculation
for every momentum in the superposition constituting the original wave
packet: one chooses a typical momentum and works with that eigenstate
alone. If one wants to recreate the packet effect, a simple
integration over the momentum distribution is all that is required.

So introducing a multiplicity of copies of Bob, each with its own
measurement angle, is a red herring. One need consider only one
typical orientation, because in the final analysis, there is only one
polarizer setting for Bob that has to be compared with Alice's
polarizer setting. The important point remains the same -- the
settings for both Alice and Bob are chose and set classically by
decoherence long before they ever meet up again. So the relative angle
is not determined only when their future light cones overlap -- that
relative angle was set when they were at a spacelike separation.


it's only when you choose to look at the sector where the settings
were the same or opposite settings were chosen that you get the
reduction of the number of states. But that sector is defined by
what happens on both sides, so there is no strange 

R: Re: R: Re: Non-locality and MWI

2016-05-09 Thread 'scerir' via Everything List





Messaggio originale

Da: Brent Meeker <meeke...@verizon.net>

Data: 09/05/2016 18.50

A: <everything-list@googlegroups.com>

Ogg: Re: R: Re: Non-locality and MWI




  
  




On 5/9/2016 12:52 AM, 'scerir' via
  Everything List wrote:



  Saibal Mitra:


  
And this is the core of the disagreement, you say that the results are 
already there, but in the MWI this is false. In the MWI the cat is not 
either dead or alive before you open the box, the superposition has 
become entangled with the environment, but both branches are relevant 
until you get to know the result. 

  
  It seems (to me) interesting this quote from Nicolas Gisin "Against Many-
Worlds", 
ch. 4 of the paper ' Are There Quantum Effects Coming from Outside Space-time?
Nonlocality, free will and "no many-worlds" ' 

http://arxiv.org/pdf/1011.3440.pdf

"On the contrary, I do not see any explanatory power in the many worlds: it 
seems
to be made just to prevent one from asking (possibly provocative) questions. 
Moreover, it has built in it the impossibility of any test: all its 
predictions are identical
to those of quantum theory. For me, it looks like "cushion for laziness" 
(un coussin de paresse in French). 



It avoids the otherwise puzzling question of, "When does the wave
function collapse?  Why is a measurement different from other
physical interactions?"  QBism provides one answer, but at the cost
of losing a kind of absolute objectivity.  Other solutions, like
Bohm and GRW, postulate truly different physics that produce
collapse.
 Yes. And I was not aware of the MIW interpretation !"In the Everett or MW 
interpretation, the `worlds' are
orthogonal components of a universal wave function .
The particular decomposition at any time, and the identity
of worlds through time is argued to be defined (at
least well-enough for practical purposes) by the quantum
dynamics which generates essentially independent
evolution of these quasiclassical worlds into the future
(a phenomenon called effective decoherence). The inherent
fuzziness of Everettian worlds is in contrast to
the corresponding concepts in the MIW [Many Interacting classical Worlds] 
approach, of a
well-defined group of deterministically-evolving configurations.
In the MW interpretation it is meaningless to ask
exactly how many worlds there are at a given time, or exactly
when a branching event into subcomponents occurs,
leading to criticisms that there is no precise ontology Another di ffcult issue 
is that worlds are not equally
`real' in the MW interpretation, but are `weighted' by
the modulus squared of the corresponding superposition
coeffi cients. As noted above, in the MIW approach all
worlds are equally weighted, so that Laplace's theory of
probability is su fficient to account for our experience and
expectations." https://arxiv.org/pdf/1402.6144v4.pdf




  And there is a second, decisive, reason to 
reject 
the many-worlds view: it leaves no space for free will."



That's a silly reason.  Daniel Dennett, in his book Elbow Room,
explains that even Laplacian determinism leaves us all the free will
worth having.



Brent




  




  





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Re: R: Re: Non-locality and MWI

2016-05-09 Thread smitra

On 09-05-2016 09:52, 'scerir' via Everything List wrote:

Saibal Mitra:


And this is the core of the disagreement, you say that the results are
already there, but in the MWI this is false. In the MWI the cat is not
either dead or alive before you open the box, the superposition has
become entangled with the environment, but both branches are relevant
until you get to know the result.


It seems (to me) interesting this quote from Nicolas Gisin "Against 
Many-

Worlds",
ch. 4 of the paper ' Are There Quantum Effects Coming from Outside 
Space-time?

Nonlocality, free will and "no many-worlds" '

http://arxiv.org/pdf/1011.3440.pdf

"On the contrary, I do not see any explanatory power in the many 
worlds: it

seems
to be made just to prevent one from asking (possibly provocative) 
questions.

Moreover, it has built in it the impossibility of any test: all its
predictions are identical
to those of quantum theory. For me, it looks like "cushion for 
laziness"
(un coussin de paresse in French). And there is a second, decisive, 
reason to

reject
the many-worlds view: it leaves no space for free will."


That's a philosophical argument against MWI.  I.m.o. it is important is 
to work within some given framework when discussing issues within that 
framework. It's similar to how the old discussions about Maxwell's Demon 
did not yield the deep insight about the relevance of information theory 
in thermodynamics and statistical physics. Strange ideas can lead people 
to rail against it and raise objections on e.g. practical grounds that 
may have some merit but they distract from the fundamental issue raised 
by the thought experiment. One then doesn't follow through the argument 
to its logical end.


Saibal


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Re: R: Re: Non-locality and MWI

2016-05-09 Thread Brent Meeker



On 5/9/2016 12:52 AM, 'scerir' via Everything List wrote:

Saibal Mitra:


And this is the core of the disagreement, you say that the results are
already there, but in the MWI this is false. In the MWI the cat is not
either dead or alive before you open the box, the superposition has
become entangled with the environment, but both branches are relevant
until you get to know the result.

It seems (to me) interesting this quote from Nicolas Gisin "Against Many-
Worlds",
ch. 4 of the paper ' Are There Quantum Effects Coming from Outside Space-time?
Nonlocality, free will and "no many-worlds" '

http://arxiv.org/pdf/1011.3440.pdf

"On the contrary, I do not see any explanatory power in the many worlds: it
seems
to be made just to prevent one from asking (possibly provocative) questions.
Moreover, it has built in it the impossibility of any test: all its
predictions are identical
to those of quantum theory. For me, it looks like "cushion for laziness"
(un coussin de paresse in French).


It avoids the otherwise puzzling question of, "When does the wave 
function collapse?  Why is a measurement different from other physical 
interactions?"  QBism provides one answer, but at the cost of losing a 
kind of absolute objectivity.  Other solutions, like Bohm and GRW, 
postulate truly different physics that produce collapse.



And there is a second, decisive, reason to
reject
the many-worlds view: it leaves no space for free will."


That's a silly reason.  Daniel Dennett, in his book /Elbow Room/, 
explains that even Laplacian determinism leaves us all the free will 
worth having.


Brent






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Re: Non-locality and MWI

2016-05-09 Thread smitra

On 09-05-2016 07:43, Bruce Kellett wrote:

On 9/05/2016 3:17 pm, smitra wrote:

On 09-05-2016 03:40, Bruce Kellett wrote:


The idea that Alice splits further into different branches according
to Bob's results only after their respective light cones overlap is 
an

interpretive gloss on the theory (which, as already pointed out, you
do not apply consistently) -- it is not there in the mathematics.
Alice and Bob are in the same world even at spacelike separations.
This must be the case, or else my feet would be in a different world
from my head at every single instant of time. So Bob and Alice
separate in the same world. When they perform their measurements 
there

is a Bob in each world created by Alice's results, and an Alice in
every world created by Bob's results. The fact that neither Alice nor
Bob do not know the other's result does not mean that there are no
such results. Are there separate worlds in which these results are
combined? It doesn't really matter, because anything that can be seen
when information is exchanged is already set:  the exchange of
information is like opening the box -- the cat is already either 
alive

or dead, opening the box does not change that. So Alice and Bob
talking to each other does not change anything either. The results 
are

already present in the universal wave function -- talk of splitting
into worlds is irrelevant to the universal wave function and the
unitary dynamics. So the fact that A does not know B's results at 
some

time is irrelevant -- the results are already there. The question of
who knows what is not a relevant question for the universal wave
function. And the universal wave function takes account of the unity
of the singlet state and the reality of non-local effects.


And this is the core of the disagreement, you say that the results are 
already there, but in the MWI this is false.


What? Are you claiming the the universal wave function -- which
contains all possible branches corresponding to all possible outcomes
-- does not contain the results? I think what you mean is that you do
not know the result (which branch you are on) until you open the box.
But that does not mean that you are not on one branch or the other.
The death of the cat (if it be so) can be in your past light cone, so
the splitting of worlds occasioned by that death has already split
you. Your knowledge of this is strictly irrelevant. You can be in a
particular world without being aware of it. In Bruno's famous person
duplication experiments, you are in either Washington or Moscow before
you are necessarily ever aware of which city it is. You make personal
knowledge of outcomes far too prominent in your theory; things can
actually happen without your being aware of them!




While your body does split up, if you don't have the "which branch" 
information then you are in both branches until that time that you do 
have this information. If we consider ourselves as programs run by our 
brains and consider some well defined computational state, look at all 
the branches where that particular computational state is implemented, 
then you'll find that it's present in both situations where the 
information about the cat is different.


Saibal

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Re: Non-locality and MWI

2016-05-09 Thread smitra

On 09-05-2016 07:37, Brent Meeker wrote:

On 5/8/2016 10:17 PM, smitra wrote:

On 09-05-2016 03:40, Bruce Kellett wrote:

On 9/05/2016 2:58 am, smitra wrote:

On 08-05-2016 01:52, Bruce Kellett wrote:


 The set-up of the experiment belies the second part of your 
comment.
The information about the angles was not in the initial state. 
Sure,

the dynamics of the interaction between the  particles and the
polarizer is local, and the polarizer angle is also set locally, 
but

the entangled state that interacts with the polarizer is itself not
local -- it is spread out in space. It is because the original
entangled state is spread out that the polarizers at each end react 
in

tandem -- giving rise to the non-locality. Interactions in this are
all local, the non-locality arises from the fact that the singlet
state itself is not localized.


Yes, but that's again a trivial non-local effect as the entangled 
spins were created locally in the past. In the MWI this only gives 
rise to non-local effects that are trivial common cause effects, 
unlike in single World interpretations.


It is not a common cause effect. The singlet state is, but the
polarizer setting of A and B are independently and freely chosen 
after
the particles are widely separated. There is no common cause for 
this.



Alternatively, you can let Alice and Bob do additional 
measurements
of quantum systems and then set the polarizer settings according 
to
what they find. In that case the information about the settings 
was
not put in the initial state but it then arises out of the 
dynamics.

However, you then get a superposition of all possibilities,


 Superposition of all which possibilities? I imagine that what you 
are

saying is that if the setting is chosen according to the outcome of
some other quantum event, then all possible outcomes of that event 
are

realized in different branches of a superposition, or in different
worlds. This does not actually help you. Remember that each of the
worlds in which these different settings obtain also contains a 
copy

of the same particle that is part of the entangled pair (Alice
measured the other part). So in each branch of your new 
superposition,

the same state is measured in some direction. Whichever branch Bob
then finds himself in, he still has eventually to communicate with
Alice. And all the Bob's in this picture have their own particular
theta and |+> or |-> result. The multiplication of possibilities 
for

Bob has not removed the problem of how this theta is determined for
each copy. The essential non-locality remains.


The relative angle theta is not determined for each copy separately, 
each branch of Alice contains all the branches of Bob where Bob 
chooses some angle and vice versa. The relative angle is only going 
to be determined later when Alice and Bob communicate, it's only 
then that Alice and Bob get localized into branches where the 
relative angle is determined.


This additional superposition that you are invoking is actually
irrelevant. It is quite common in physics to deal with such
superpositions by considering just one typical member of the
superposition and performing the calculation for that particular 
case.

The general superposed case can be added back later if required, but
it does not add anything new.

The paradigm illustration of this is in particle physics. Because of
the uncertainty principle, a particle is effectively never in an
eigenstate of either position or momentum -- it is typically a wave
packet, in which the spreads over various position and momentum
eigenstates are related by a Fourier transform. In order to calculate
scattering probability, for example, one works in momentum space by
choice since conservation of energy and momentum give considerable
kinematic simplifications. But one does not have to do the 
calculation
for every momentum in the superposition constituting the original 
wave

packet: one chooses a typical momentum and works with that eigenstate
alone. If one wants to recreate the packet effect, a simple
integration over the momentum distribution is all that is required.

So introducing a multiplicity of copies of Bob, each with its own
measurement angle, is a red herring. One need consider only one
typical orientation, because in the final analysis, there is only one
polarizer setting for Bob that has to be compared with Alice's
polarizer setting. The important point remains the same -- the
settings for both Alice and Bob are chose and set classically by
decoherence long before they ever meet up again. So the relative 
angle

is not determined only when their future light cones overlap -- that
relative angle was set when they were at a spacelike separation.


it's only when you choose to look at the sector where the settings
were the same or opposite settings were chosen that you get the
reduction of the number of states. But that sector is defined by
what happens on both sides, so there is no strange non-local 
effect

here 

Re: Non-locality and MWI (literature)

2016-05-09 Thread Bruno Marchal
e "literally". The  
MW *is* the main loophole in the implication "Bell's violation ===>  
non local action at a distance".








-- since MWI is only an interpretation of quantum mechanics,


Not in my book. MWI = SWE. Copenhagen = SWE + collapse, or MWI minus  
all worlds but one.





and gives exactly the same results as any other interpretation.


I am not sure of this. If there is a physical collapse, some type of  
quantum erasure seems impossible to me.

It is the same only FAPP (which is not concerning us).




Non-locality no more kills off MWI than non-locality kills off any  
other interpretation, collapse or non-collapse. I have given a  
perfectly coherent account of non-locality within the Everettian  
paradigm.


Correct, but your interpretation of the MWI adds something to the SWE.



In fact, I have shown that such non-locality is indeed necessary  
even in that paradigm.


That is what we were hoping you would show, but I am not sure you did.



The conventional MWI argument does not actually account for the  
correlations at all -- because it does not explain how the relative  
orientation of the polarizers enters the evolution of the universal  
wave function.


?

I would say by Alice and Bob using their free-will, or by Aspect's  
technic to randomize locally the choice. Again, I miss your argument  
here.


To say that there is a real physical action at a distance is gross  
(even if 100% of the physicists would say so). Bell's inequality  
violation shows that this happens, very clearly, when we believe in  
the unicity of outcomes of measurement, OK. But in the MWI, some work  
needs to be done (at least) to convince me. I don't even find a paper  
on the subject, only paper which shows that MWI is local (some more  
rigorous than other). Do you have a reference of a paper showing that  
Bell's inequality violation entails non locality in the MWI? I would  
like to take a look on it, if it exists.
Many physicists just never think about the many-worlds, and use QM as  
an instrument prediction only, and get shwoekd by Bell's result,  
without ever pondering about the fact that all outcomes are realized.  
That is why many believes in locality, they have just never study  
Everett.


Bruno





Bruce

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http://iridia.ulb.ac.be/~marchal/



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Re: Non-locality and MWI (literature)

2016-05-09 Thread Bruce Kellett
ng new is added when the 
light comes overlap and Alice and Bob exchange information about their 
results.


Brown and Timpson state: "Following this third measurement-interaction 
[leading to eq. (10)], which can only take place in the overlap of the 
future light cones of the measurements at A and B, a definite outcome 
for the spin measurement in one region finally obtains, relative to a 
definite outcome for the measurement in the other. That is, we can only 
think of the /correlations/ between measurement outcomes on the two 
sides of the experiment actually obtaining in the overlap of the future 
light-cones of the measurement events -- they do not obtain before then 
and -- /a fortiori/ -- they do not obtain instantaneously."


But the universal wave function contains all the information about 
outcomes and correlations long before the light cones overlap -- that 
overlapping does not create any new information. The information might 
not be available to Alice and Bob before overlap, but learning about 
something does not create that thing -- the information gained generally 
pre-exists (Schrödinger's cat is either dead or alive, long before we 
open the box!). So the correlations are implicit in the universal wave 
function as soon as Alice and Bob's measurements are complete -- the 
wave function does not have to wait till Alice and Bob separately know 
each other's results. So /contra/ Brown and Timpson, the correlations do 
exist before the future light cones of the measurement events overlap. 
They might not be known before then, but they certainly exist before 
then because nothing happens at the exchange of information between 
Alice and Bob that can cause the particular relative polarizer 
orientation to suddenly spring into existence, and the consequent 
probabilities for each of the four possible worlds to suddenly 
materialize; on the contrary, the relative orientation and the 
probabilities are built into the universal wave function by the 
non-local interaction between the two separated measurement events.


In the MWI literature, too much is made of the fact that Bob's results 
are indeterminate for Alice until she hears from him by a classical 
channel. As before, merely learning about something does not cause it to 
spring into existence -- Bob has split into disjoint branches for his 
possible measurement results, and each of Bob's branches is duplicated 
in all of Alice's branches. That is what the linear evolution of the 
wave function tells us -- that is the result of eq. (9) in the paper. 
Alice and Bob may only self-locate on one of these branches after 
information exchange, but that does not create these potential worlds.


Brown and Simpson are close to my feeling (say), which is that Bell's 
inequality violation testing does not test locality, but the MWI itself.


I think that is why you are so resistant to seeing that there is a 
better account than that given by Brown and Timpson, and many others. 
The reality of non-local effects does not necessarily spell the end of 
the MWI -- since MWI is only an interpretation of quantum mechanics, and 
gives exactly the same results as any other interpretation. Non-locality 
no more kills off MWI than non-locality kills off any other 
interpretation, collapse or non-collapse. I have given a perfectly 
coherent account of non-locality within the Everettian paradigm. In 
fact, I have shown that such non-locality is indeed necessary even in 
that paradigm. The conventional MWI argument does not actually account 
for the correlations at all -- because it does not explain how the 
relative orientation of the polarizers enters the evolution of the 
universal wave function.


Bruce

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Re: Non-locality and MWI (literature)

2016-05-09 Thread Bruno Marchal


On 09 May 2016, at 04:12, Bruce Kellett wrote:


On 9/05/2016 1:39 am, Bruno Marchal wrote:


Thanks Scerir. Very interesting.


On 08 May 2016, at 09:58, 'scerir' via Everything List wrote:


https://arxiv.org/abs/1501.03521

'Bell on Bell's theorem: The changing face of nonlocality'
Authors: Harvey R. Brown, Christopher G. Timpson

there are several interesting points here
ch. 9 - Locality in the Everett picture
ch. 9.1 EPR and Bell correlations in the Everettian setting



Nice.

 I think that what we are trying to explain to Bruce is well summed  
up in their section 9.1.2 (the Everett description of the singlet  
state, case of non-align polarizer).


I have already discussed this in my reply to Saibal. The basic point  
I would make again is that the splitting of the universal wave  
function into separate "worlds" is an interpretive gloss that does  
not actually alter anything in the theory.


As long as you don't separate them too much, as the wave describe a  
pure state remaining pure all the time, the "world" are the  
phenomenological views as seen by each doppelgangers involved. If not,  
you lose the possible interferences in principle possible by quantum  
memory erasure.




Furthermore, 'who knows what about whatever' is also an irrelevance  
as far as the universal wave function is concerned. If you are going  
to work in the many worlds paradigm, then everything ultimately  
stems from the unitary evolution of the universal wave function --  
all else is just interpretive gloss, of no fundamental significance.


This is the case for the discussion in section 9.1.2 of the paper by  
Brown and Timpson. Their equation (9) contains all the relevant  
results that set the universal wave function -- the additional third  
measurement (or measurement-like interaction) leading to equation  
(10) is, therefore, irrelevant. All that happens in eq. (10) is an  
exchange of information -- but it is an exchange of information that  
is already present in the universal wave function, no new  
information is created at this point. Just like opening the box on  
Schrödinger's cat, which is either alive or dead long before,  
looking changes nothing.  Eq. (10) is, similarly, just an  
interpretive gloss of no fundamental significance. The important  
point here is that everything is set in the universal wave function  
before Alice and Bob meet. The relative angle of the respective  
polarizers is set in the wave function long before the light cones  
of Alice and Bob overlap, so that relative angle is determined non- 
locally.


The universal wave function is not a local object --



I am not sure what does this mean. The SWE is linear which is a case  
of extreme locality I would say.






the unitary evolution does not have any implicit notion of locality.


?




Locality is a human convention, and the universal wave function is  
under no compulsion to take any notice of human conventions or  
preferences.



The question is only: does Alice's measurement change something  
instantaneously and physically at a distance? Obviously, this is not a  
question of convention.


I see clearly that such action at a distance has to occur in all QM  
with a physical collapse assumption, as Einstein saw already in 1927  
at the Solvay Congress, and EPR-BELL-Bohm made testable. But if the  
collapse is a first person view entangled with the particle in the  
singlet state, I don't see any action at a distance occurring, even if  
it looks like that for the person involved.  I don't get your critic  
of Brown and Timpson (9.1.2 in https://arxiv.org/abs/1501.03521 ).
Brown and Simpson are close to my feeling (say), which is that Bell's  
inequality violation testing does not test locality, but the MWI itself.


Bruno






Bruce

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Re: Non-locality and MWI

2016-05-09 Thread Bruno Marchal
Oops, Sorry Bruce, that following mail might have been resent a second  
tie by error. May be you can check, my server seems to have a queer  
behavior.


Bruno

On 09 May 2016, at 14:14, Bruno Marchal wrote:



On 30 Apr 2016, at 02:32, Bruce Kellett wrote:


On 29/04/2016 9:09 pm, Bruno Marchal wrote:

On 28 Apr 2016, at 03:33, Bruce Kellett wrote:
On 27/04/2016 4:57 pm, Bruno Marchal wrote:

On 27 Apr 2016, at 06:49, Bruce Kellett wrote:
On 27/04/2016 1:51 pm, Brent Meeker wrote:
That's pretty much the many-universes model that Bruno  
proposes. But it's non-local in the sense that the "matching  
scheme" must take account of which measurements are  
compatible, i.e. it "knows" the results even while they are   
spacelike separated.
Exactly, the model assumes the results it is trying to get. It  
is not a local physical model because the statistics do not  
originate locally.


The statistic did originate locally. Alice and Bob did prepare  
the singlet state locally, and then travel away.


That is not strictly correct. The singlet state is conventionally  
prepared centrally between A and B so that the measurements can  
be made at spacelike separation. That would not be possible if A  
and B jointly prepare the state then move away.


The measurement? OK. Not the preparation.

They are in infinitely many worlds, and in each with opposite  
spin.


There are only two possible spin states for each -- so there are  
really only two distinct possible worlds. Multiplying copies of  
these two does not seem to accomplish much.


There is an infinity of possible states for each. There is an  
infinity of possible distinct possible worlds. In each one A's and  
B's particle spin are opposite/correlated, but neither Alice nor  
Bob can know which one.


I think you are getting confused by the basis problem again.


I think you misinterpret the MWI? It might be related with your  
problem with the first person indeterminacy in self-multiplication,  
and your abstraction from the fact that the singlet state has  
basically the same form in all base. Once Bob is in a separate light  
cone, it is isolated from Alice, but the singlet state justifies why  
the infinitely many Alices it describes will be correlated with the  
Bob they are arble to talk with.







The cos^2(theta) is given by the math of the 1/sqrt(2)AB(I+>I->  
- I->I+>)) = 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+>. With your  
explanation to Jesse, I keep the feeling that you talk like if  
Alice or Bob reduce the wave after their measurement, but they  
just localize themselves in the relative branches.


Certainly, the cos^2(theta/2) comes from applying the standard  
quantum rules to the singlet state
|psi> = (|+>|-> - |->|+>)/sqrt(2) (adding AB to this state adds  
nothing).


We need them to get all the statistics correct.

I think it would be instructive to actually go through the usual  
quantum derivation of the correlations because what you call  
"reducing the wave after the measurement" is actually the result  
of applying the standard quantum rules. It has nothing to do with  
so-called 'collapse' interpretations: it is simply in the theory.


Well, either the meaurement give specific outcome, or, if there is  
no physical collapse it is only an entanglement between A (or B)  
with the singlet state. That is why A and B are needed in the  
derivation.


A measurement results in an entanglement between the state and the  
observer. But in order for the observer to see only one result (and  
not a superposition) you need the projection postulate. That is  
decoherence, not a rejection of many worlds.


You need only to look at the first person views of the relative  
persons in the superposition states, they are infinite in a relative  
proportion given by the Born rules.






Quantum rules for measurement say that the initial state can be  
expanded in the basis corresponding to the particular measurement  
in question (contextuality). That is what the state |psi> above  
is -- the quantum expansion of the singlet state in the basis in  
which say Alice is doing her measurement.


OK, but that state does not represent two possible worlds. It  
looks like that for Alice because she has decided to make the  
measurement "in that base", but, as we know, the correlation does  
not depend on the choice of Alice's measurement. She will just  
entangled herself with the singlet state, whatever the base or  
measuring apparatus is.


Quantum rules then say that the result of the measurement (after  
decoherence has fully operated)


Decoherence is only the contagion of the superposition to the  
observer and/or his/her environment. It does not lead to a  
classical universe. That is only what the infinitely many Alice  
will phenomenologivally realize.


Decoherence is the basis for the (apparent) emergence of the  
classical from the quantum. Decoherence allows coarse-graining,  
partial tracing over environmental variables, and the other 

Re: Non-locality and MWI

2016-05-09 Thread Bruno Marchal


On 30 Apr 2016, at 02:32, Bruce Kellett wrote:


On 29/04/2016 9:09 pm, Bruno Marchal wrote:

On 28 Apr 2016, at 03:33, Bruce Kellett wrote:
On 27/04/2016 4:57 pm, Bruno Marchal wrote:

On 27 Apr 2016, at 06:49, Bruce Kellett wrote:
On 27/04/2016 1:51 pm, Brent Meeker wrote:
That's pretty much the many-universes model that Bruno  
proposes. But it's non-local in the sense that the "matching  
scheme" must take account of which measurements are compatible,  
i.e. it "knows" the results even while they are  spacelike  
separated.
Exactly, the model assumes the results it is trying to get. It  
is not a local physical model because the statistics do not  
originate locally.


The statistic did originate locally. Alice and Bob did prepare  
the singlet state locally, and then travel away.


That is not strictly correct. The singlet state is conventionally  
prepared centrally between A and B so that the measurements can be  
made at spacelike separation. That would not be possible if A and  
B jointly prepare the state then move away.


The measurement? OK. Not the preparation.


They are in infinitely many worlds, and in each with opposite spin.


There are only two possible spin states for each -- so there are  
really only two distinct possible worlds. Multiplying copies of  
these two does not seem to accomplish much.


There is an infinity of possible states for each. There is an  
infinity of possible distinct possible worlds. In each one A's and  
B's particle spin are opposite/correlated, but neither Alice nor  
Bob can know which one.


I think you are getting confused by the basis problem again.


I think you misinterpret the MWI? It might be related with your  
problem with the first person indeterminacy in self-multiplication,  
and your abstraction from the fact that the singlet state has  
basically the same form in all base. Once Bob is in a separate light  
cone, it is isolated from Alice, but the singlet state justifies why  
the infinitely many Alices it describes will be correlated with the  
Bob they are arble to talk with.







The cos^2(theta) is given by the math of the 1/sqrt(2)AB(I+>I-> -  
I->I+>)) = 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+>. With your  
explanation to Jesse, I keep the feeling that you talk like if  
Alice or Bob reduce the wave after their measurement, but they  
just localize themselves in the relative branches.


Certainly, the cos^2(theta/2) comes from applying the standard  
quantum rules to the singlet state
|psi> = (|+>|-> - |->|+>)/sqrt(2) (adding AB to this state adds  
nothing).


We need them to get all the statistics correct.

I think it would be instructive to actually go through the usual  
quantum derivation of the correlations because what you call  
"reducing the wave after the measurement" is actually the result  
of applying the standard quantum rules. It has nothing to do with  
so-called 'collapse' interpretations: it is simply in the theory.


Well, either the meaurement give specific outcome, or, if there is  
no physical collapse it is only an entanglement between A (or B)  
with the singlet state. That is why A and B are needed in the  
derivation.


A measurement results in an entanglement between the state and the  
observer. But in order for the observer to see only one result (and  
not a superposition) you need the projection postulate. That is  
decoherence, not a rejection of many worlds.


You need only to look at the first person views of the relative  
persons in the superposition states, they are infinite in a relative  
proportion given by the Born rules.






Quantum rules for measurement say that the initial state can be  
expanded in the basis corresponding to the particular measurement  
in question (contextuality). That is what the state |psi> above is  
-- the quantum expansion of the singlet state in the basis in  
which say Alice is doing her measurement.


OK, but that state does not represent two possible worlds. It looks  
like that for Alice because she has decided to make the measurement  
"in that base", but, as we know, the correlation does not depend on  
the choice of Alice's measurement. She will just entangled herself  
with the singlet state, whatever the base or measuring apparatus is.


Quantum rules then say that the result of the measurement (after  
decoherence has fully operated)


Decoherence is only the contagion of the superposition to the  
observer and/or his/her environment. It does not lead to a  
classical universe. That is only what the infinitely many Alice  
will phenomenologivally realize.


Decoherence is the basis for the (apparent) emergence of the  
classical from the quantum. Decoherence allows coarse-graining,  
partial tracing over environmental variables, and the other things  
that enable us to get definite experimental results.


But is only relative first person plural views. No classical universe  
needs to ever be infinitely singularize? Neither with QM (without  
collapse) nor 

R: Re: Non-locality and MWI

2016-05-09 Thread 'scerir' via Everything List

Saibal Mitra:

> And this is the core of the disagreement, you say that the results are 
> already there, but in the MWI this is false. In the MWI the cat is not 
> either dead or alive before you open the box, the superposition has 
> become entangled with the environment, but both branches are relevant 
> until you get to know the result. 

It seems (to me) interesting this quote from Nicolas Gisin "Against Many-
Worlds", 
ch. 4 of the paper ' Are There Quantum Effects Coming from Outside Space-time?
Nonlocality, free will and "no many-worlds" ' 

http://arxiv.org/pdf/1011.3440.pdf

"On the contrary, I do not see any explanatory power in the many worlds: it 
seems
to be made just to prevent one from asking (possibly provocative) questions. 
Moreover, it has built in it the impossibility of any test: all its 
predictions are identical
to those of quantum theory. For me, it looks like "cushion for laziness" 
(un coussin de paresse in French). And there is a second, decisive, reason to 
reject 
the many-worlds view: it leaves no space for free will."


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Re: Non-locality and MWI

2016-05-08 Thread Bruce Kellett

On 9/05/2016 3:17 pm, smitra wrote:

On 09-05-2016 03:40, Bruce Kellett wrote:


The idea that Alice splits further into different branches according
to Bob's results only after their respective light cones overlap is an
interpretive gloss on the theory (which, as already pointed out, you
do not apply consistently) -- it is not there in the mathematics.
Alice and Bob are in the same world even at spacelike separations.
This must be the case, or else my feet would be in a different world
from my head at every single instant of time. So Bob and Alice
separate in the same world. When they perform their measurements there
is a Bob in each world created by Alice's results, and an Alice in
every world created by Bob's results. The fact that neither Alice nor
Bob do not know the other's result does not mean that there are no
such results. Are there separate worlds in which these results are
combined? It doesn't really matter, because anything that can be seen
when information is exchanged is already set:  the exchange of
information is like opening the box -- the cat is already either alive
or dead, opening the box does not change that. So Alice and Bob
talking to each other does not change anything either. The results are
already present in the universal wave function -- talk of splitting
into worlds is irrelevant to the universal wave function and the
unitary dynamics. So the fact that A does not know B's results at some
time is irrelevant -- the results are already there. The question of
who knows what is not a relevant question for the universal wave
function. And the universal wave function takes account of the unity
of the singlet state and the reality of non-local effects.


And this is the core of the disagreement, you say that the results are 
already there, but in the MWI this is false.


What? Are you claiming the the universal wave function -- which contains 
all possible branches corresponding to all possible outcomes -- does not 
contain the results? I think what you mean is that you do not know the 
result (which branch you are on) until you open the box. But that does 
not mean that you are not on one branch or the other. The death of the 
cat (if it be so) can be in your past light cone, so the splitting of 
worlds occasioned by that death has already split you. Your knowledge of 
this is strictly irrelevant. You can be in a particular world without 
being aware of it. In Bruno's famous person duplication experiments, you 
are in either Washington or Moscow before you are necessarily ever aware 
of which city it is. You make personal knowledge of outcomes far too 
prominent in your theory; things can actually happen without your being 
aware of them!


Bruce

In the MWI the cat is not either dead or alive before you open the 
box, the superposition has become entangled with the environment, but 
both branches are relevant until you get to know the result. If you 
find a dead cat then that does not mean that this outcome was 
predetermined.


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Re: Non-locality and MWI

2016-05-08 Thread Brent Meeker



On 5/8/2016 10:17 PM, smitra wrote:

On 09-05-2016 03:40, Bruce Kellett wrote:

On 9/05/2016 2:58 am, smitra wrote:

On 08-05-2016 01:52, Bruce Kellett wrote:


 The set-up of the experiment belies the second part of your comment.
The information about the angles was not in the initial state. Sure,
the dynamics of the interaction between the  particles and the
polarizer is local, and the polarizer angle is also set locally, but
the entangled state that interacts with the polarizer is itself not
local -- it is spread out in space. It is because the original
entangled state is spread out that the polarizers at each end react in
tandem -- giving rise to the non-locality. Interactions in this are
all local, the non-locality arises from the fact that the singlet
state itself is not localized.


Yes, but that's again a trivial non-local effect as the entangled 
spins were created locally in the past. In the MWI this only gives 
rise to non-local effects that are trivial common cause effects, 
unlike in single World interpretations.


It is not a common cause effect. The singlet state is, but the
polarizer setting of A and B are independently and freely chosen after
the particles are widely separated. There is no common cause for this.



Alternatively, you can let Alice and Bob do additional measurements
of quantum systems and then set the polarizer settings according to
what they find. In that case the information about the settings was
not put in the initial state but it then arises out of the dynamics.
However, you then get a superposition of all possibilities,


 Superposition of all which possibilities? I imagine that what you are
saying is that if the setting is chosen according to the outcome of
some other quantum event, then all possible outcomes of that event are
realized in different branches of a superposition, or in different
worlds. This does not actually help you. Remember that each of the
worlds in which these different settings obtain also contains a copy
of the same particle that is part of the entangled pair (Alice
measured the other part). So in each branch of your new superposition,
the same state is measured in some direction. Whichever branch Bob
then finds himself in, he still has eventually to communicate with
Alice. And all the Bob's in this picture have their own particular
theta and |+> or |-> result. The multiplication of possibilities for
Bob has not removed the problem of how this theta is determined for
each copy. The essential non-locality remains.


The relative angle theta is not determined for each copy separately, 
each branch of Alice contains all the branches of Bob where Bob 
chooses some angle and vice versa. The relative angle is only going 
to be determined later when Alice and Bob communicate, it's only 
then that Alice and Bob get localized into branches where the 
relative angle is determined.


This additional superposition that you are invoking is actually
irrelevant. It is quite common in physics to deal with such
superpositions by considering just one typical member of the
superposition and performing the calculation for that particular case.
The general superposed case can be added back later if required, but
it does not add anything new.

The paradigm illustration of this is in particle physics. Because of
the uncertainty principle, a particle is effectively never in an
eigenstate of either position or momentum -- it is typically a wave
packet, in which the spreads over various position and momentum
eigenstates are related by a Fourier transform. In order to calculate
scattering probability, for example, one works in momentum space by
choice since conservation of energy and momentum give considerable
kinematic simplifications. But one does not have to do the calculation
for every momentum in the superposition constituting the original wave
packet: one chooses a typical momentum and works with that eigenstate
alone. If one wants to recreate the packet effect, a simple
integration over the momentum distribution is all that is required.

So introducing a multiplicity of copies of Bob, each with its own
measurement angle, is a red herring. One need consider only one
typical orientation, because in the final analysis, there is only one
polarizer setting for Bob that has to be compared with Alice's
polarizer setting. The important point remains the same -- the
settings for both Alice and Bob are chose and set classically by
decoherence long before they ever meet up again. So the relative angle
is not determined only when their future light cones overlap -- that
relative angle was set when they were at a spacelike separation.


it's only when you choose to look at the sector where the settings
were the same or opposite settings were chosen that you get the
reduction of the number of states. But that sector is defined by
what happens on both sides, so there is no strange non-local effect
here that is present in collapse theories.


 The reduction from four to two 

Re: Non-locality and MWI

2016-05-08 Thread smitra

On 09-05-2016 03:40, Bruce Kellett wrote:

On 9/05/2016 2:58 am, smitra wrote:

On 08-05-2016 01:52, Bruce Kellett wrote:


 The set-up of the experiment belies the second part of your comment.
The information about the angles was not in the initial state. Sure,
the dynamics of the interaction between the  particles and the
polarizer is local, and the polarizer angle is also set locally, but
the entangled state that interacts with the polarizer is itself not
local -- it is spread out in space. It is because the original
entangled state is spread out that the polarizers at each end react 
in

tandem -- giving rise to the non-locality. Interactions in this are
all local, the non-locality arises from the fact that the singlet
state itself is not localized.


Yes, but that's again a trivial non-local effect as the entangled 
spins were created locally in the past. In the MWI this only gives 
rise to non-local effects that are trivial common cause effects, 
unlike in single World interpretations.


It is not a common cause effect. The singlet state is, but the
polarizer setting of A and B are independently and freely chosen after
the particles are widely separated. There is no common cause for this.



Alternatively, you can let Alice and Bob do additional measurements
of quantum systems and then set the polarizer settings according to
what they find. In that case the information about the settings was
not put in the initial state but it then arises out of the dynamics.
However, you then get a superposition of all possibilities,


 Superposition of all which possibilities? I imagine that what you 
are

saying is that if the setting is chosen according to the outcome of
some other quantum event, then all possible outcomes of that event 
are

realized in different branches of a superposition, or in different
worlds. This does not actually help you. Remember that each of the
worlds in which these different settings obtain also contains a copy
of the same particle that is part of the entangled pair (Alice
measured the other part). So in each branch of your new 
superposition,

the same state is measured in some direction. Whichever branch Bob
then finds himself in, he still has eventually to communicate with
Alice. And all the Bob's in this picture have their own particular
theta and |+> or |-> result. The multiplication of possibilities for
Bob has not removed the problem of how this theta is determined for
each copy. The essential non-locality remains.


The relative angle theta is not determined for each copy separately, 
each branch of Alice contains all the branches of Bob where Bob 
chooses some angle and vice versa. The relative angle is only going to 
be determined later when Alice and Bob communicate, it's only then 
that Alice and Bob get localized into branches where the relative 
angle is determined.


This additional superposition that you are invoking is actually
irrelevant. It is quite common in physics to deal with such
superpositions by considering just one typical member of the
superposition and performing the calculation for that particular case.
The general superposed case can be added back later if required, but
it does not add anything new.

The paradigm illustration of this is in particle physics. Because of
the uncertainty principle, a particle is effectively never in an
eigenstate of either position or momentum -- it is typically a wave
packet, in which the spreads over various position and momentum
eigenstates are related by a Fourier transform. In order to calculate
scattering probability, for example, one works in momentum space by
choice since conservation of energy and momentum give considerable
kinematic simplifications. But one does not have to do the calculation
for every momentum in the superposition constituting the original wave
packet: one chooses a typical momentum and works with that eigenstate
alone. If one wants to recreate the packet effect, a simple
integration over the momentum distribution is all that is required.

So introducing a multiplicity of copies of Bob, each with its own
measurement angle, is a red herring. One need consider only one
typical orientation, because in the final analysis, there is only one
polarizer setting for Bob that has to be compared with Alice's
polarizer setting. The important point remains the same -- the
settings for both Alice and Bob are chose and set classically by
decoherence long before they ever meet up again. So the relative angle
is not determined only when their future light cones overlap -- that
relative angle was set when they were at a spacelike separation.


it's only when you choose to look at the sector where the settings
were the same or opposite settings were chosen that you get the
reduction of the number of states. But that sector is defined by
what happens on both sides, so there is no strange non-local effect
here that is present in collapse theories.


 The reduction from four to two states has never been the problem 

Re: Non-locality and MWI (literature)

2016-05-08 Thread Bruce Kellett

On 9/05/2016 1:39 am, Bruno Marchal wrote:


Thanks Scerir. Very interesting.


On 08 May 2016, at 09:58, 'scerir' via Everything List wrote:


https://arxiv.org/abs/1501.03521

'Bell on Bell's theorem: The changing face of nonlocality'
Authors: Harvey R. Brown, Christopher G. Timpson

there are several interesting points here
ch. 9 - Locality in the Everett picture
ch. 9.1 EPR and Bell correlations in the Everettian setting



Nice.

 I think that what we are trying to explain to Bruce is well summed up 
in their section 9.1.2 (the Everett description of the singlet state, 
case of non-align polarizer).


I have already discussed this in my reply to Saibal. The basic point I 
would make again is that the splitting of the universal wave function 
into separate "worlds" is an interpretive gloss that does not actually 
alter anything in the theory. Furthermore, 'who knows what about 
whatever' is also an irrelevance as far as the universal wave function 
is concerned. If you are going to work in the many worlds paradigm, then 
everything ultimately stems from the unitary evolution of the universal 
wave function -- all else is just interpretive gloss, of no fundamental 
significance.


This is the case for the discussion in section 9.1.2 of the paper by 
Brown and Timpson. Their equation (9) contains all the relevant results 
that set the universal wave function -- the additional third measurement 
(or measurement-like interaction) leading to equation (10) is, 
therefore, irrelevant. All that happens in eq. (10) is an exchange of 
information -- but it is an exchange of information that is already 
present in the universal wave function, no new information is created at 
this point. Just like opening the box on Schrödinger's cat, which is 
either alive or dead long before, looking changes nothing.  Eq. (10) is, 
similarly, just an interpretive gloss of no fundamental significance. 
The important point here is that everything is set in the universal wave 
function /before/ Alice and Bob meet. The relative angle of the 
respective polarizers is set in the wave function long before the light 
cones of Alice and Bob overlap, so that relative angle is determined 
non-locally.


The universal wave function is not a local object -- the unitary 
evolution does not have any implicit notion of locality. Locality is a 
human convention, and the universal wave function is under no compulsion 
to take any notice of human conventions or preferences.


Bruce

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Re: Non-locality and MWI

2016-05-08 Thread Bruce Kellett

On 9/05/2016 2:58 am, smitra wrote:

On 08-05-2016 01:52, Bruce Kellett wrote:


 The set-up of the experiment belies the second part of your comment.
The information about the angles was not in the initial state. Sure,
the dynamics of the interaction between the  particles and the
polarizer is local, and the polarizer angle is also set locally, but
the entangled state that interacts with the polarizer is itself not
local -- it is spread out in space. It is because the original
entangled state is spread out that the polarizers at each end react in
tandem -- giving rise to the non-locality. Interactions in this are
all local, the non-locality arises from the fact that the singlet
state itself is not localized.


Yes, but that's again a trivial non-local effect as the entangled 
spins were created locally in the past. In the MWI this only gives 
rise to non-local effects that are trivial common cause effects, 
unlike in single World interpretations.


It is not a common cause effect. The singlet state is, but the polarizer 
setting of A and B are independently and freely chosen after the 
particles are widely separated. There is no common cause for this.




Alternatively, you can let Alice and Bob do additional measurements
of quantum systems and then set the polarizer settings according to
what they find. In that case the information about the settings was
not put in the initial state but it then arises out of the dynamics.
However, you then get a superposition of all possibilities,


 Superposition of all which possibilities? I imagine that what you are
saying is that if the setting is chosen according to the outcome of
some other quantum event, then all possible outcomes of that event are
realized in different branches of a superposition, or in different
worlds. This does not actually help you. Remember that each of the
worlds in which these different settings obtain also contains a copy
of the same particle that is part of the entangled pair (Alice
measured the other part). So in each branch of your new superposition,
the same state is measured in some direction. Whichever branch Bob
then finds himself in, he still has eventually to communicate with
Alice. And all the Bob's in this picture have their own particular
theta and |+> or |-> result. The multiplication of possibilities for
Bob has not removed the problem of how this theta is determined for
each copy. The essential non-locality remains.


The relative angle theta is not determined for each copy separately, 
each branch of Alice contains all the branches of Bob where Bob 
chooses some angle and vice versa. The relative angle is only going to 
be determined later when Alice and Bob communicate, it's only then 
that Alice and Bob get localized into branches where the relative 
angle is determined.


This additional superposition that you are invoking is actually 
irrelevant. It is quite common in physics to deal with such 
superpositions by considering just one typical member of the 
superposition and performing the calculation for that particular case. 
The general superposed case can be added back later if required, but it 
does not add anything new.


The paradigm illustration of this is in particle physics. Because of the 
uncertainty principle, a particle is effectively never in an eigenstate 
of either position or momentum -- it is typically a wave packet, in 
which the spreads over various position and momentum eigenstates are 
related by a Fourier transform. In order to calculate  scattering 
probability, for example, one works in momentum space by choice since 
conservation of energy and momentum give considerable kinematic 
simplifications. But one does not have to do the calculation for every 
momentum in the superposition constituting the original wave packet: one 
chooses a typical momentum and works with that eigenstate alone. If one 
wants to recreate the packet effect, a simple integration over the 
momentum distribution is all that is required.


So introducing a multiplicity of copies of Bob, each with its own 
measurement angle, is a red herring. One need consider only one typical 
orientation, because in the final analysis, there is only one polarizer 
setting for Bob that has to be compared with Alice's polarizer setting. 
The important point remains the same -- the settings for both Alice and 
Bob are chose and set classically by decoherence long before they ever 
meet up again. So the relative angle is not determined only when their 
future light cones overlap -- that relative angle was set when they were 
at a spacelike separation.



it's only when you choose to look at the sector where the settings
were the same or opposite settings were chosen that you get the
reduction of the number of states. But that sector is defined by
what happens on both sides, so there is no strange non-local effect
here that is present in collapse theories.


 The reduction from four to two states has never been the problem --
it is the origin 

Re: Non-locality and MWI

2016-05-08 Thread smitra

On 08-05-2016 01:52, Bruce Kellett wrote:

On 8/05/2016 3:11 am, smitra wrote:


On 07-05-2016 09:03, Bruce Kellett wrote:


There is no such additional superposition in the quantum
formalism,
so if you are going to postulate one such, then you are talking
about
some different theory, not quantum mechanics.


If you have a problem with the reduction of 4 outcomes to two
outcomes, then you need to trace back where the information implied
by this originated from. Your current argument is hiding this. In
the theory where there is no collapse that has non-local features
and where there are only local interactions, the information about
the angles was either put a priori in the initial state (you can
have modeled it in the effective Hamiltonian that describes how
Alice's and Bob's spin will interact with the polarizers), or it
arose out of the dynamics itself. In neither case does the result
point to some strange non-local effect.


 I don't understand where you got this from. I do not have a problem
with the reduction from 4 outcomes to 2 outcomes in the case of
parallel polarizers -- it is there in the formalism: two of the terms
vanish when theta=0º. You seem to be implying that there cannot be
any non-local effects in QM because it is, by definition, a local
theory. The apparent locality of the theory is why some people have so
much trouble understanding the non-local effects that can arise in QM.

 I quote the following from a recent post on another list by an
experienced physicist:
 "An entangled pair of states just share the same wave function, and
the uncertainty principle is ultimately what is behind the nonlocality
of the wave function. A wave function with a spread means there is no
localization of the wave. This is even for a classical wave, which
prior to the quantum physics was not seen as a problem. Yet when that
wave was found to describe the motion of a material particle then
suddenly all types of strange issues came forth. This extended in some
ways to the quantum theory of light for entangled states of
polarization and so forth.

"The spread of a wave, which for a spherical wave front can be
considerable, and the uncertainty principle are the primary reasons
for all of these nonlocal physics."

 What is being said here is related to what I said recently about
working in momentum space: in momentum space particles are completely
non-localized. Non-locality is now widely accepted as a fact of
quantum theory. It cannot be removed by definition!

 The set-up of the experiment belies the second part of your comment.
The information about the angles was not in the initial state. Sure,
the dynamics of the interaction between the  particles and the
polarizer is local, and the polarizer angle is also set locally, but
the entangled state that interacts with the polarizer is itself not
local -- it is spread out in space. It is because the original
entangled state is spread out that the polarizers at each end react in
tandem -- giving rise to the non-locality. Interactions in this are
all local, the non-locality arises from the fact that the singlet
state itself is not localized.



Yes, but that's again a trivial non-local effect as the entangled spins 
were created locally in the past. In the MWI this only gives rise to 
non-local effects that are trivial common cause effects, unlike in 
single World interpretations.



 .


You have clearly not understood the basic weirdness of quantum
mechanics.


I have, but it's clear that you refuse the analyze this problem
properly according to the MWI. What you do is you take the l
formalism of how we compute things in practice as "the truth" when
it's not the truth according to the MWI.


 So what is the MWI "truth"? How is the standard quantum calculation
modified? Remember, that the quantum formalism is taken to be  the
most complete possible formulation of the state -- if you go beyond
this formulation, by calling on additional non-visible information,
for instance, you are no longer talking about quantum mechanics but
some other theory.


There is no modification, MWI demands that  all physical degrees of 
freedom are included in the Schrödinger equation, if you want to 
describe the physical situation in terms of macroscopic observers, you 
are necessarily going to have to resort to an effective treatment of the 
problem.In MWI language one introduces "branches" that describe the 
sectors where the observers find different outcomes. Here one makes 
hidden assumptions whose validity in theoretical arguments must always 
be checked.





The reduction of 4 outcomes to 2 outcomes is not a non-local effect
in the MWI, because the information contained in the absence of ++
and -- outcomes did not arise in a non-local way. If you have a real
collapse then there is problem. But in the MWI all possible outcomes
are realized, and if we are to assume that Alice and Bob's polarizer
settings were predetermined then you have hidden this information in
the 

Re: Non-locality and MWI (literature)

2016-05-08 Thread Bruno Marchal


Thanks Scerir. Very interesting.


On 08 May 2016, at 09:58, 'scerir' via Everything List wrote:



https://arxiv.org/abs/1501.03521

'Bell on Bell's theorem: The changing face of nonlocality'
Authors: Harvey R. Brown, Christopher G. Timpson

there are several interesting points here
ch. 9 - Locality in the Everett picture
ch. 9.1 EPR and Bell correlations in the Everettian setting



Nice.

 I think that what we are trying to explain to Bruce is well summed  
up in their section 9.1.2 (the Everett description of the singlet  
state, case of non-align polarizer).


I think Saunders and Wallace also got that point, and that is  
equivalent with Tipler (plus some reasonable assumptions)


The only real problem for Everett is that he uses a form of "comp"  
which now asks for a phenomenological account of the waves itself, and  
the symmetries and the apparent breaking of the symmetries.


The nice surprise is that not only that approach seems to work,  
(thanks to the discovery of the universal machine (computer science)  
and of the Gödel-Löbian machine), but that approach makes possible to  
split the logics and theories obtained (for those phenomenologies,  
implied by incompleteness) and to distinguish truth and the  
justifiable, truth and the observable, truth and the knowable, truth  
and the sensible, etc. It is handy to get the relation right between  
the quanta and the qualia.


We cannot derive the existence of a universal machine/system/language  
without assuming such a universal system. But once we believe in one  
of them, like when we believe in elementary arithmetic or in the  
Fortran programming language, we get all the others and the many  
internal phenomenologies, which are not dependent of the initial  
choice we make to tlak about them.


Once you assume computationalism (under the weak form of Church thesis  
+ consciousness invariance for a relatively- digital substitution)  
Peano Arithmetic (+ computationalism thus) can prove the existence of  
a web of dreams and of a limiting multiverse (locally stable and  
sharable first person plural points of view.



Bruno



etc. etc.

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http://iridia.ulb.ac.be/~marchal/



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Non-locality and MWI (literature)

2016-05-08 Thread 'scerir' via Everything List

https://arxiv.org/abs/1501.03521

'Bell on Bell's theorem: The changing face of nonlocality'
Authors: Harvey R. Brown, Christopher G. Timpson

there are several interesting points here
ch. 9 - Locality in the Everett picture
ch. 9.1 EPR and Bell correlations in the Everettian setting
etc. etc.

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Re: Non-locality and MWI

2016-05-07 Thread Bruce Kellett

On 8/05/2016 3:11 am, smitra wrote:

On 07-05-2016 09:03, Bruce Kellett wrote:


 There is no such additional superposition in the quantum formalism,
so if you are going to postulate one such, then you are talking about
some different theory, not quantum mechanics.


If you have a problem with the reduction of 4 outcomes to two 
outcomes, then you need to trace back where the information implied by 
this originated from. Your current argument is hiding this. In the 
theory where there is no collapse that has non-local features and 
where there are only local interactions, the information about the 
angles was either put a priori in the initial state (you can have 
modeled it in the effective Hamiltonian that describes how Alice's and 
Bob's spin will interact with the polarizers), or it arose out of the 
dynamics itself. In neither case does the result point to some strange 
non-local effect.


I don't understand where you got this from. I do not have a problem with 
the reduction from 4 outcomes to 2 outcomes in the case of parallel 
polarizers -- it is there in the formalism: two of the terms vanish when 
theta=0º. You seem to be implying that there cannot be any non-local 
effects in QM because it is, by definition, a local theory. The apparent 
locality of the theory is why some people have so much trouble 
understanding the non-local effects that can arise in QM.


I quote the following from a recent post on another list by an 
experienced physicist:
"An entangled pair of states just share the same wave function, and the 
uncertainty principle is ultimately what is behind the nonlocality of 
the wave function. A wave function with a spread means there is no 
localization of the wave. This is even for a classical wave, which prior 
to the quantum physics was not seen as a problem. Yet when that wave was 
found to describe the motion of a material particle then suddenly all 
types of strange issues came forth. This extended in some ways to the 
quantum theory of light for entangled states of polarization and so forth.


"The spread of a wave, which for a spherical wave front can be 
considerable, and the uncertainty principle are the primary reasons for 
all of these nonlocal physics."



What is being said here is related to what I said recently about working 
in momentum space: in momentum space particles are completely 
non-localized. Non-locality is now widely accepted as a fact of quantum 
theory. It cannot be removed by definition!


The set-up of the experiment belies the second part of your comment. The 
information about the angles was not in the initial state. Sure, the 
dynamics of the interaction between the  particles and the polarizer is 
local, and the polarizer angle is also set locally, but the entangled 
state that interacts with the polarizer is itself not local -- it is 
spread out in space. It is because the original entangled state is 
spread out that the polarizers at each end react in tandem -- giving 
rise to the non-locality. Interactions in this are all local, the 
non-locality arises from the fact that the singlet state itself is not 
localized.


.


 You have clearly not understood the basic weirdness of quantum
mechanics.


I have, but it's clear that you refuse the analyze this problem 
properly according to the MWI. What you do is you take the l formalism 
of how we compute things in practice as "the truth" when it's not the 
truth according to the MWI.


So what is the MWI "truth"? How is the standard quantum calculation 
modified? Remember, that the quantum formalism is taken to be  the most 
complete possible formulation of the state -- if you go beyond this 
formulation, by calling on additional non-visible information, for 
instance, you are no longer talking about quantum mechanics but some 
other theory.


The reduction of 4 outcomes to 2 outcomes is not a non-local effect in 
the MWI, because the information contained in the absence of ++ and -- 
outcomes did not arise in a non-local way. If you have a real collapse 
then there is problem. But in the MWI all possible outcomes are 
realized, and if we are to assume that Alice and Bob's polarizer 
settings were predetermined then you have hidden this information in 
the initial state or the effective dynamics.


There is no assumption that Alice and Bob's settings were predetermined 
-- that is explicitly ruled out in the formulation of the problem.


Alternatively, you can let Alice and Bob do additional measurements of 
quantum systems and then set the polarizer settings according to what 
they find. In that case the information about the settings was not put 
in the initial state but it then arises out of the dynamics. However, 
you then get a superposition of all possibilities,


Superposition of all which possibilities? I imagine that what you are 
saying is that if the setting is chosen according to the outcome of some 
other quantum event, then all possible outcomes of that event are 
realized in 

Re: Non-locality and MWI

2016-05-07 Thread smitra

On 07-05-2016 09:03, Bruce Kellett wrote:

On 7/05/2016 4:28 pm, Brent Meeker wrote:


On 5/6/2016 10:51 PM, smitra wrote:
On 07-05-2016 02:36, Bruce Kellett wrote:

The use of the relative orientation angle theta is intrinsically
non-local. That angle cannot be obtained by local means in the
above
derivation. The equation for |psi> derived above shows the full
coherent wave function as evolved from the initial state according
Schrödinger's equation. There is nothing else -- no more worlds or

dopplegangers than the four explicitly shown. The observers can
only
differentiate into one of these four worlds. And that is correct --
it
is in agreement with experience. But it is still non-local.

It is wrong to invoke this angle in this way in the MWI. While it
leads to the correct answer, one has to consider that the evolution
of the state vector is still due to local dynamics. It's therefore a
trivial fact that there cannot be any non-local effects here.

The illusion of a non-local effect comes from cutting corners in
the derivation by assuming that there exists a macroscopic Alice
here with some polarizer setting and a macroscopic Bob over there
with some other polarizer setting and then we can can compute the
correlations by just applying the usual formalism. And then we make
hidden assumptions based on the classical behavior of Alice, Bob and
the polarizers as they are macroscopic. That sounds reasonable, it
also yields the correct answer but it's still wrong as a description
of the physical situation according to the MWI.

A correct MWI derivation must involve working with a wavefunction
that evolves under unitary time evolution.


 But that wavefunction is a function of different points in space,
some of which are spacelike separate.  The wf dynamically evolves the
probabilistic location of the singlet particles to their interaction
with the polarizers and detectors.   The interaction at the polarizers
changes the wf at other locations.  In the usual formalism this change
is instantaneous, i.e. spacelike.  If it's not instantaneous, as Rubin
argued, then it must propagate within the forward lightcone and the
reduced wf only describes the correlation in the part of spacetime in
which the forward lightcones of Alice and Bob's measurments overlap.

 Yes, there is nothing in the derivation that violates unitary
evolution. Some details are left out, certainly, but nothing of any
importance. A wave is extended over space and intrinsically non-local.
In momentum space, positions are completely undetermined, so
calculations in momentum space are the epitome of non-locality.


If you do that you're just going to re-derive the same old result,
but using a much more cumbersome formalism. But that cumbersome
formalism then does falsify your claim that the MWI is non-local.

The crucial point where your analysis is faulty is when you
invoke the angle in an ad hoc way. The angle arises from the
setting of the polarizers, we can e.g. assume that the polarizers
were set a priori to some settings and that information was known
globally. But then there is no issue with non-locality. You can
also assume that Alice and Bob decide to choose the polarizer
settings later, but then the evolution of Alice and Bob leading up
to their choices must be included in the dynamics. If we are to
assume that Alice cannot even in principle know what Bob's setting
is, then that means that the physically correct state will be a
superposition of many different polarizer settings for both Alice
and Bob.


 There is no such additional superposition in the quantum formalism,
so if you are going to postulate one such, then you are talking about
some different theory, not quantum mechanics.



If you have a problem with the reduction of 4 outcomes to two outcomes, 
then you need to trace back where the information implied by this 
originated from. Your current argument is hiding this. In the theory 
where there is no collapse that has non-local features and where there 
are only local interactions, the information about the angles was either 
put a priori in the initial state (you can have modeled it in the 
effective Hamiltonian that describes how Alice's and Bob's spin will 
interact with the polarizers), or it arose out of the dynamics itself. 
In neither case does the result point to some strange non-local effect.




That doesn't follow. Suppose the polarizers are set according to
the detection or not of a photon from distant stars who are opposite
on another on the celestial sphere. Alice can see how her polarizer
is set and Bob can see his, so there's no need to postulate a
superposition; but their seeing of the settings are spacelike.



While you can project out the subspace where Alice chooses some
angle and finds some particular result and then claim that if Bob
had chose that same angle two of the four outcomes would
mysteriously have vanished, there isn't anything on Bob's side
that makes him make that same choice. Invoking that 

Re: Non-locality and MWI

2016-05-07 Thread smitra

On 07-05-2016 08:28, Brent Meeker wrote:

On 5/6/2016 10:51 PM, smitra wrote:

On 07-05-2016 02:36, Bruce Kellett wrote:



The use of the relative orientation angle theta is intrinsically
non-local. That angle cannot be obtained by local means in the above
derivation. The equation for |psi> derived above shows the full
coherent wave function as evolved from the initial state according
Schrödinger's equation. There is nothing else -- no more worlds or
dopplegangers than the four explicitly shown. The observers can only
differentiate into one of these four worlds. And that is correct -- 
it

is in agreement with experience. But it is still non-local.

It is wrong to invoke this angle in this way in the MWI. While it 
leads to the correct answer, one has to consider that the evolution of 
the state vector is still due to local dynamics. It's therefore a 
trivial fact that there cannot be any non-local effects here.


 The illusion of a non-local effect comes from  cutting corners in the 
derivation by assuming that there exists a macroscopic Alice here with 
some polarizer setting and a macroscopic Bob over there with some 
other polarizer setting and then we can can compute the correlations 
by just  applying the usual formalism. And then we make hidden 
assumptions based on the classical behavior of Alice, Bob and the 
polarizers as they are macroscopic. That sounds reasonable, it also 
yields the correct answer but it's still wrong as a description of the 
physical situation according to the MWI.


A correct MWI derivation must involve working with a wavefunction that 
evolves under unitary time evolution.


But that wavefunction is a function of different points in space, some
of which are spacelike separate.  The wf dynamically evolves the
probabilistic location of the singlet particles to their interaction
with the polarizers and detectors.   The interaction at the polarizers
changes the wf at other locations.  In the usual formalism this change
is instantaneous, i.e. spacelike.  If it's not instantaneous, as Rubin
argued, then it must propagate within the forward lightcone and the
reduced wf only describes the correlation in the part of spacetime in
which the forward lightcones of Alice and Bob's measurments overlap.


Yes, but this leads to only apparent non-local effects that are all due 
to trivial  "common cause effects".


If you do that you're just going to re-derive the same old result, but 
using a much more cumbersome formalism. But that cumbersome formalism 
then does falsify your claim that the MWI is non-local.


The crucial point where your analysis is faulty is when you invoke the 
angle in an ad hoc way. The angle arises from the setting of the 
polarizers, we can e.g. assume that the polarizers were set a priori 
to some settings and that information was  known globally. But then 
there is no issue with non-locality. You can also assume that Alice 
and Bob decide to choose the polarizer settings later, but then the 
evolution of Alice and Bob leading up to their choices must be 
included in the dynamics. If we are to assume that Alice cannot even 
in principle know what Bob's setting is, then that means that the 
physically correct state will be a superposition of many different 
polarizer settings for both Alice and Bob.


That doesn't follow.  Suppose the polarizers are set according to the
detection or not of a photon from distant stars who are opposite on
another on the celestial sphere.  Alice can see how her polarizer is
set and Bob can see his, so there's no need to postulate a
superposition; but their seeing of the settings are spacelike.


That doesn't matter, my point is that you need to account for the entire 
system. If you invoke photons emitted by some distant star, you need to 
include these details in your description and then see if you still get 
some strange non-local effect, where "strange" means that it isn't the 
sort of trivial common cause effect.







While you can project out the subspace where Alice chooses some angle 
and finds some particular result and then claim that if Bob had chose 
that same angle two of the four outcomes would mysteriously have 
vanished, there isn't anything on Bob's side that makes him make that 
same choice. Invoking that he'll do so amounts to just planting the 
information that exists on Alice side to Bob's side, that's then not a 
non-local effect at all.


But when the results are compared Alice and Bob will be able to sort
out which results went with which polarizer settings.  That's how the
correlation is seen.  No one claims that this can used to communicate
FTL.  Only that the interactions are spacelike and violate Bell's
inequality.


Yes, but it's only in single World theories that there is a problem 
here. In the case bith have chosen the same settings, Alice knows that 
there were 2 possible outcomes for her and Bob also has two possible 
outcomes. They know that there are no local hidden variables, therefore 
what 

Re: Non-locality and MWI

2016-05-07 Thread Bruce Kellett

On 7/05/2016 4:28 pm, Brent Meeker wrote:

On 5/6/2016 10:51 PM, smitra wrote:

On 07-05-2016 02:36, Bruce Kellett wrote:


The use of the relative orientation angle theta is intrinsically
non-local. That angle cannot be obtained by local means in the above
derivation. The equation for |psi> derived above shows the full
coherent wave function as evolved from the initial state according
Schrödinger's equation. There is nothing else -- no more worlds or
dopplegangers than the four explicitly shown. The observers can only
differentiate into one of these four worlds. And that is correct -- it
is in agreement with experience. But it is still non-local.

It is wrong to invoke this angle in this way in the MWI. While it 
leads to the correct answer, one has to consider that the evolution 
of the state vector is still due to local dynamics. It's therefore a 
trivial fact that there cannot be any non-local effects here.


 The illusion of a non-local effect comes from  cutting corners in 
the derivation by assuming that there exists a macroscopic Alice here 
with some polarizer setting and a macroscopic Bob over there with 
some other polarizer setting and then we can can compute the 
correlations by just  applying the usual formalism. And then we make 
hidden assumptions based on the classical behavior of Alice, Bob and 
the polarizers as they are macroscopic. That sounds reasonable, it 
also yields the correct answer but it's still wrong as a description 
of the physical situation according to the MWI.


A correct MWI derivation must involve working with a wavefunction 
that evolves under unitary time evolution. 


But that wavefunction is a function of different points in space, some 
of which are spacelike separate.  The wf dynamically evolves the 
probabilistic location of the singlet particles to their interaction 
with the polarizers and detectors.   The interaction at the polarizers 
changes the wf at other locations.  In the usual formalism this change 
is instantaneous, i.e. spacelike.  If it's not instantaneous, as Rubin 
argued, then it must propagate within the forward lightcone and the 
reduced wf only describes the correlation in the part of spacetime in 
which the forward lightcones of Alice and Bob's measurments overlap.


Yes, there is nothing in the derivation that violates unitary evolution. 
Some details are left out, certainly, but nothing of any importance. A 
wave is extended over space and intrinsically non-local. In momentum 
space, positions are completely undetermined, so calculations in 
momentum space are the epitome of non-locality.


If you do that you're just going to re-derive the same old result, 
but using a much more cumbersome formalism. But that cumbersome 
formalism then does falsify your claim that the MWI is non-local.


The crucial point where your analysis is faulty is when you invoke 
the angle in an ad hoc way. The angle arises from the setting of the 
polarizers, we can e.g. assume that the polarizers were set a priori 
to some settings and that information was  known globally. But then 
there is no issue with non-locality. You can also assume that Alice 
and Bob decide to choose the polarizer settings later, but then the 
evolution of Alice and Bob leading up to their choices must be 
included in the dynamics. If we are to assume that Alice cannot even 
in principle know what Bob's setting is, then that means that the 
physically correct state will be a superposition of many different 
polarizer settings for both Alice and Bob.


There is no such additional superposition in the quantum formalism, so 
if you are going to postulate one such, then you are talking about some 
different theory, not quantum mechanics.


That doesn't follow.  Suppose the polarizers are set according to the 
detection or not of a photon from distant stars who are opposite on 
another on the celestial sphere.  Alice can see how her polarizer is 
set and Bob can see his, so there's no need to postulate a 
superposition; but their seeing of the settings are spacelike.
While you can project out the subspace where Alice chooses some angle 
and finds some particular result and then claim that if Bob had chose 
that same angle two of the four outcomes would mysteriously have 
vanished, there isn't anything on Bob's side that makes him make that 
same choice. Invoking that he'll do so amounts to just planting the 
information that exists on Alice side to Bob's side, that's then not 
a non-local effect at all.


But when the results are compared Alice and Bob will be able to sort 
out which results went with which polarizer settings.  That's how the 
correlation is seen.  No one claims that this can used to communicate 
FTL.  Only that the interactions are spacelike and violate Bell's 
inequality.


Not only with which polarizer setting, but also from which particular 
entangled pair. Alice has to have some way of knowing that a particular 
result (and polarizer setting) came from the same entangled 

Re: Non-locality and MWI

2016-05-07 Thread Brent Meeker



On 5/6/2016 10:51 PM, smitra wrote:

On 07-05-2016 02:36, Bruce Kellett wrote:



The use of the relative orientation angle theta is intrinsically
non-local. That angle cannot be obtained by local means in the above
derivation. The equation for |psi> derived above shows the full
coherent wave function as evolved from the initial state according
Schrödinger's equation. There is nothing else -- no more worlds or
dopplegangers than the four explicitly shown. The observers can only
differentiate into one of these four worlds. And that is correct -- it
is in agreement with experience. But it is still non-local.

It is wrong to invoke this angle in this way in the MWI. While it 
leads to the correct answer, one has to consider that the evolution of 
the state vector is still due to local dynamics. It's therefore a 
trivial fact that there cannot be any non-local effects here.


 The illusion of a non-local effect comes from  cutting corners in the 
derivation by assuming that there exists a macroscopic Alice here with 
some polarizer setting and a macroscopic Bob over there with some 
other polarizer setting and then we can can compute the correlations 
by just  applying the usual formalism. And then we make hidden 
assumptions based on the classical behavior of Alice, Bob and the 
polarizers as they are macroscopic. That sounds reasonable, it also 
yields the correct answer but it's still wrong as a description of the 
physical situation according to the MWI.


A correct MWI derivation must involve working with a wavefunction that 
evolves under unitary time evolution. 


But that wavefunction is a function of different points in space, some 
of which are spacelike separate.  The wf dynamically evolves the 
probabilistic location of the singlet particles to their interaction 
with the polarizers and detectors.   The interaction at the polarizers 
changes the wf at other locations.  In the usual formalism this change 
is instantaneous, i.e. spacelike.  If it's not instantaneous, as Rubin 
argued, then it must propagate within the forward lightcone and the 
reduced wf only describes the correlation in the part of spacetime in 
which the forward lightcones of Alice and Bob's measurments overlap.


If you do that you're just going to re-derive the same old result, but 
using a much more cumbersome formalism. But that cumbersome formalism 
then does falsify your claim that the MWI is non-local.


The crucial point where your analysis is faulty is when you invoke the 
angle in an ad hoc way. The angle arises from the setting of the 
polarizers, we can e.g. assume that the polarizers were set a priori 
to some settings and that information was  known globally. But then 
there is no issue with non-locality. You can also assume that Alice 
and Bob decide to choose the polarizer settings later, but then the 
evolution of Alice and Bob leading up to their choices must be 
included in the dynamics. If we are to assume that Alice cannot even 
in principle know what Bob's setting is, then that means that the 
physically correct state will be a superposition of many different 
polarizer settings for both Alice and Bob.


That doesn't follow.  Suppose the polarizers are set according to the 
detection or not of a photon from distant stars who are opposite on 
another on the celestial sphere.  Alice can see how her polarizer is set 
and Bob can see his, so there's no need to postulate a superposition; 
but their seeing of the settings are spacelike.




While you can project out the subspace where Alice chooses some angle 
and finds some particular result and then claim that if Bob had chose 
that same angle two of the four outcomes would mysteriously have 
vanished, there isn't anything on Bob's side that makes him make that 
same choice. Invoking that he'll do so amounts to just planting the 
information that exists on Alice side to Bob's side, that's then not a 
non-local effect at all.


But when the results are compared Alice and Bob will be able to sort out 
which results went with which polarizer settings.  That's how the 
correlation is seen.  No one claims that this can used to communicate 
FTL.  Only that the interactions are spacelike and violate Bell's 
inequality.


Brent



If we are to assume that Bob's and Alice's settings were fixed, so we 
eliminate this improper planting of information from Alice's side to 
Bob's side, then you have to ask how it's possible that Bob's 
polarizer setting would always come out the same way as Alice's?  
Clearly you've then build this in in the dynamics so, you've hidden a 
non-local correlation in the Hamiltonian that describes the time 
evolution.


The bottom line is that a manifestly local theory cannot possibly 
yield a non-local results other than via trivial common cause effects. 
Fundamentally there is nothing more to this thought experiment that 
handing Alice and Bob correlated playing cards. It's just that quantum 
mechanics gives you a bit more room to hide the 

Re: Non-locality and MWI

2016-05-06 Thread smitra

On 07-05-2016 02:36, Bruce Kellett wrote:



The use of the relative orientation angle theta is intrinsically
non-local. That angle cannot be obtained by local means in the above
derivation. The equation for |psi> derived above shows the full
coherent wave function as evolved from the initial state according
Schrödinger's equation. There is nothing else -- no more worlds or
dopplegangers than the four explicitly shown. The observers can only
differentiate into one of these four worlds. And that is correct -- it
is in agreement with experience. But it is still non-local.

It is wrong to invoke this angle in this way in the MWI. While it leads 
to the correct answer, one has to consider that the evolution of the 
state vector is still due to local dynamics. It's therefore a trivial 
fact that there cannot be any non-local effects here.


 The illusion of a non-local effect comes from  cutting corners  in the 
derivation by assuming that there exists a macroscopic Alice here with 
some polarizer setting and a macroscopic Bob over there with some other 
polarizer setting and then we can can compute the correlations by just  
applying the usual formalism. And then we make hidden assumptions based 
on the classical behavior of Alice, Bob and the polarizers as they are 
macroscopic. That sounds reasonable, it also yields the correct answer 
but it's still wrong as a description of the physical situation 
according to the MWI.


A correct MWI derivation must involve working with a wavefunction that 
evolves under unitary time evolution. If you do that you're just going 
to re-derive the same old result, but using a much more cumbersome 
formalism. But that cumbersome formalism then does falsify your claim 
that the MWI is non-local.


The crucial point where your analysis is faulty is when you invoke the 
angle in an ad hoc way. The angle arises from the setting of the 
polarizers, we can e.g. assume that the polarizers were set a priori to 
some settings and that information was  known globally. But then there 
is no issue with non-locality. You can also assume that Alice and Bob 
decide to choose the polarizer settings later, but then the evolution of 
Alice and Bob leading up to their choices must be included in the 
dynamics. If we are to assume that Alice cannot even in principle know 
what Bob's setting is, then that means that the physically correct state 
will be a superposition of many different polarizer settings for both 
Alice and Bob.


While you can project out the subspace where Alice chooses some angle 
and finds some particular result and then claim that if Bob had chose 
that same angle two of the four outcomes would mysteriously have 
vanished, there isn't anything on Bob's side that makes him make that 
same choice. Invoking that he'll do so amounts to just planting the 
information that exists on Alice side to Bob's side, that's then not a 
non-local effect at all.


If we are to assume that Bob's and Alice's settings were fixed, so we 
eliminate this improper planting of information from Alice's side to 
Bob's side, then you have to ask how it's possible that Bob's polarizer 
setting would always come out the same way as Alice's?  Clearly you've 
then build this in in the dynamics so, you've hidden a non-local 
correlation in the Hamiltonian that describes the time evolution.


The bottom line is that a manifestly local theory cannot possibly yield 
a non-local results other than via trivial common cause effects. 
Fundamentally there is nothing more to this thought experiment that 
handing Alice and Bob correlated playing cards. It's just that quantum 
mechanics gives you a bit more room to hide the trick.


Saibal

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Re: Non-locality and MWI

2016-05-06 Thread Bruce Kellett

On 7/05/2016 2:50 am, Bruno Marchal wrote:

On 06 May 2016, at 01:13, Bruce Kellett wrote:

There is a widely cited paper by Tipler (arxiv:quant-ph/0003146v1) 
that claims to show the MWI does away with non-locality.


I read it a long time ago, but I have stopped to believe that MWI can 
be non-local before. If you agree that a world is a sect of 
object/event close for interaction, then Jesse mazer argument directly 
leads to locality.


Jesse's model may be local, but it does not reproduce the observed 
correlations.


Where Alice is separated from Bob light cone, she can be in the same 
world at all. There will be no action at a distance because there will 
no interaction possible.


This is your basic linguistic confusion at work again. It is because the 
interaction occurs between spacelike separated objects (where no local 
interaction is possible) that it is said to be non-local.


The correlation will not be confirmed by them, but only by their 
respective doppelganger which will inhabit their worlds soon or later.


You have yet to make this particular mantra work in the sense of a 
physical model. And by a physical model I mean an account that starts 
with a well-defined initial state and follows its time evolution in 
terms of well-defined dynamical laws (generally expressed in the form of 
differential equations).



It is instructive to go through his argument, and to see how he has 
managed to deceive himself. We start with the singlet state:


|psi>  = (|+>|-> - |->|+>)/sqrt(2)

and then expand the state for the second particle in a different 
basis (at relative angle theta):


   |+>_2 =  cos(theta/2)*|+'> + sin(theta/2)*|-'>,
   |->_2 =  -sin(theta/2)*|+'> + cos(theta/2)*|-'>.

Substituting this into the singlet state above, we get

   |psi> = -[ sin(theta/2)*|+>|+'> - cos(theta/2)*|+>|-'> + 
cos(theta/2)*|->|+'> + sin(theta/2)*|->+'>]/sqrt(2),


which exactly represents the requisite four worlds, corresponding to 
the (+,+'), (+,-'), (-,+'), and (-,-') possibilities for joint 
results, each world weighted by the required probability.


OK, but you cannot look at them like if it was a mixture. No collapse 
has ever occurred, nor will ever occur.


I have expressly said that I am working in the MWI paradigm -- I make no 
appeal to collapse of any kind.


Tipler claims that this shows how the standard statistics come about 
by local measurements splitting the universe into distinct worlds.


He is, of course, deluding himself, because the above calculation is 
not local.


That does not make sense to me. The calculation is local. What it 
depicts is a coherent whole which behave thorugh local interactions, 
with the apparition of phenomenological indeterminacy and non locality 
due to the fact that the observers differentiates.


The use of the relative orientation angle theta is intrinsically 
non-local. That angle cannot be obtained by local means in the above 
derivation. The equation for |psi> derived above shows the full coherent 
wave function as evolved from the initial state according Schrödinger's 
equation. There is nothing else -- no more worlds or dopplegangers than 
the four explicitly shown. The observers can only differentiate into one 
of these four worlds. And that is correct -- it is in agreement with 
experience. But it is still non-local.



It is, in fact, nothing more that the standard quantum calculations 
(with the projection postulate evident)


Yes, but the projection is only a first person (plural intra world) view.


But the above equation does not involve projection! Projection only 
comes from the individuals self-locating in one of the four possible worlds.


that I gave above for the possible (+) and (-) results for Alice, 
combined in the one equation. It still uses the fact that Alice's 
measurement of particle 1 affects the quantum state for particle 2 
(which is, by then, a large spacelike distance away).


I don't see that.


You need to do a bit more work.

Tipler utilizes the non-local nature of this change to extract theta, 
the relative orientation of magnets -- a relative orientation that 
can only be known by comparing orientations at A and B directly. So 
Tipler's derivation is every bit as much local or non-local as the 
conventional calculation -- he has not eliminated non-locality by his 
trivial reworking of the derivation.


But non-locality never entered in the picture. It is only the 
abstraction of the parallel states which make us feel something has 
acted at the distance, but what the many Alice and Bob are doing is 
just localizing themselves in the universes (first person plural view) 
that they can share.


That makes no sense in terms of the physics.


Tipler's calculation is exemplary in every way as a standard quantum 
calculation on this entangled state. He has merely ignored the 
effects of decoherence in order to retain the full superposition.


Decoherence is only superposition contagion. It is done as sublight 
speed, 

Re: Non-locality and MWI

2016-05-06 Thread Bruce Kellett

On 7/05/2016 2:50 am, Bruno Marchal wrote:

On 06 May 2016, at 01:13, Bruce Kellett wrote:

But this does not work, as Feynman and Everett already explained 
with the double slit. In "Fabric of Reality" David Deutsch made it 
even clearer using for slits.


You are confusing the Feynman paths of the path integral formalism 
with separate worlds.


I did not.

David Deutsch is famous for this particular idiotic confusion. You 
have just defined a 'world' above as a set of things closed for 
interaction. On that definition (with which I agree), the paths 
through the separate slits in a two-slit set-up cannot be separate 
worlds -- they are just separate paths in the Feynman sense.


All they need to be are different terms in the wave expansion. They 
are superposed states/worlds/situations/whatever.


That just leads to linguistic confusion. And the more linguistically 
confused you become, the less able you are to reason clearly.


Bruce

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R: Re: R: Re: Non-locality and MWI

2016-05-06 Thread 'scerir' via Everything List

>Interesting, but my schedule makes it hard for me to analyse this just  
>now. Now, if you think you can argue for non-locality from Renninger  
>type of measurement, don't hesitate to show us. Here the point was  
>just that the violation of Bell's inequality does not lead to non- 
>local action, unless measurement leads to single realities.
>
>A long time ago, I convinced my self that Elizur Vaidman type of  
>measurement without interaction might be problematic with the MWI, but  
>that was not the case. Is Renninger measurement related to this?

Well Vaidman wrote something about that.

"The word “measurement” in quantum theory have many very different meanings. 
The purpose of the Renninger and Dicke measurements is preparation of a quantum 
state. In contrast, the purpose of the EV [Elitzur-Vaidman] interaction-free 
measurement is to obtain information about the object. In Renninger and Dicke 
measurements the measuring device is undisturbed (these are negative result 
experiments) while in the EV measurement the observed object is, in some sense, 
undisturbed. In fact, in general EV IFM the quantum state of the observed 
object is disturbed: the wave function becomes localized at the vicinity of the 
lower arm of the interferometer (see Sec. 3 of the EV paper). The reasons for 
using the term “interaction-free measurements” are that the object does not 
explode (if it is a bomb), it does not absorb any photon (if it is an opaque 
object) and that we can claim that, in some sense, the photon does not reach 
the vicinity of the object."

"I can see something in common between the Renninger–Dicke IFM and the EV IFM 
in the framework of the many-worlds interpretation. In both cases there is an 
‘‘interaction’’: radiation of the scintillator in the Renninger experiment or 
explosion of the bomb in the EV experiment, but these interactions take place 
in the ‘‘other’’ branch, not in the branch we end up discussing the experiment. 
In an attempt to avoid adopting the many-worlds interpretation such 
interactions were considered as counterfactual."

"Reasoning in the framework of the many-worlds interpretation (MWI ) leads to 
the statement that while we can find an object in the interaction-free manner, 
we cannot find out that a certain place is empty in the interaction-free way. 
Here, I mean ‘‘interaction-free’’ in the sense that no photons (or other 
particles) pass through the place in question. Getting information about some 
location in space without any particle being there is paradoxical because 
physical laws include only local interactions. In the case of finding the bomb, 
the MWI solves the paradox. Indeed, the laws apply to the whole physical 
Universe which includes all the worlds and, therefore, the reasoning must be 
true only when we consider all the worlds. Since there are worlds with the 
explosion we cannot say on the level of the physical Universe that no photons 
were at the location of the bomb. In contrast, when there is no bomb, there are 
no other worlds. The paradox in our world becomes the paradox for the whole 
Universe which is a real paradox. Thus, it is impossible to find a procedure 
which tests the presence of an object in a particular place such that no 
particles visit the place both in the case the object is there and in the case 
the object is not there. Quantitative analysis of the limitations due to this 
effect were recently performed by Reif who called the task ‘‘interaction-free 
sensing.’’. This effect also leads to limitations on the efficiency of 
‘‘interaction-free computation’’ when all possible outcomes are considered."

See, in example, this paper http://www.tau.ac.il/~vaidman/lvhp/m87.pdf

>
>Of course, with computationalism all this are open problem. Would the  
>physics extracted from computationalism leads to non-locality, I would  
>decide to be a gardiner ;)
>
>Bruno

Well being a farmer, not a mathematician, I can make a mistake. So when 
Vaidman writes "Getting information about some location in space without any 
particle being there is paradoxical because physical laws include only local 
interactions" actually he is talking about *some* sort of non-locality. At 
least, this is my humble feeling.

s.

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Re: Non-locality and MWI

2016-05-06 Thread Bruno Marchal


On 06 May 2016, at 01:13, Bruce Kellett wrote:


On 5/05/2016 10:57 pm, Bruno Marchal wrote:

On 05 May 2016, at 01:31, Bruce Kellett wrote:

This is where your fascination with the 1p-3p notion gets you into  
trouble. If the third person view (3p) means anything at all, it  
means simple intersubjective agreement. The third person is one  
who stands outside the particular experimental situation and  
observes the outcome. In the 'Quantum Darwinism' of Zeh, this  
corresponds to the fact that decoherence leaves many traces of a  
particular experimental result in the environment; this result can  
be shared among many 'third persons' without degradation -- hence  
intersubjective agreement.


There is no 'person' who has the 'bird' view -- there is no-one  
who continues to see the superposition after dechorence has had  
its way. Your 1p-3p distinction works for person-copying, as in  
taking copies of a computer program, because there can be a third  
person who sees both copies, the one in Washington and the one in  
Moscow. Nothing similar is possible in the quantum case, so your  
continued use of the 'peepee' language in discussions of quantum  
mechanics isjust confused.


I will at the positive aspect. You seem to agree with the  
computationalist FPI. That is a progress. Now just reread Everett.  
Pure state evolves in pure state, and never becomes mixture in the  
MW. The third person view is given by the wave or matric formalism.  
The relative state are given by partial trace. We can define a  
world by a set of things close for interaction, this automatically  
ensure locality.


MWI with the partial trace, required in order that experiments give  
definite results, does give the transition froma pure state to a  
mixture. Certainly, the only sensible definition of a wolrd is a set  
of things closed for interaction -- this requires the partial trace,  
by the way, To claim that this automatically ensures locality is  
just nonsense.


...
As I said, there is no 'person' who has the 'bird' view. It is  
just your belief that this is the fundamental ontology. You have  
absolutely no direct evidence for this, nor could you have. The  
fundamental ontology could just be one world, with the universal  
wave function as nothing more than a calculational device -- you  
could not know the difference.


But this does not work, as Feynman and Everett already explained  
with the double slit. In "Fabric of Reality" David Deutsch made it  
even clearer using for slits.


You are confusing the Feynman paths of the path integral formalism  
with separate worlds.


I did not.



David Deutsch is famous for this particular idiotic confusion. You  
have just defined a 'world' above as a set of things closed for  
interaction. On that definition (with which I agree), the paths  
through the separate slits in a two-slit set-up cannot be separate  
worlds -- they are just separate paths in the Feynman sense.



All they need to be are different terms in the wave expansion. They  
are superposed states/worlds/situations/whatever.








..

As I expected, you simply duck the problem and make a fatuous  
appeal to authority. I have shown explicitly that the argument  
given by Tipler fails.

You have to rebut my argument.


I did. The error is in factoring Alice (+) state, which is  
impossible as her memory has changed in the two branches.


Rubbish. You seem to forget the argument that Tipler actually made.  
I reproduce it here:


here I was referring to the debunking of your idea that Alice cannot  
get right the result of repeated measurement.

You come back on a different thread.





There is a widely cited paper by Tipler (arxiv:quant-ph/0003146v1)  
that claims to show the MWI does away with non-locality.


I read it a long time ago, but I have stopped to believe that MWI can  
be non-local before. If you agree that a world is a sect of object/ 
event close for interaction, then Jesse mazer argument directly leads  
to locality. Where Alice is separated from Bob light cone, she can be  
in the same world at all. There will be no action at a distance  
because there will no interaction possible. The correlation will not  
be confirmed by them, but only by their respective doppelganger which  
will inhabit their worlds soon or later.





It is instructive to go through his argument, and to see how he has  
managed to deceive himself. We start with the singlet state:


|psi>  = (|+>|-> - |->|+>)/sqrt(2)

and then expand the state for the second particle in a different  
basis (at relative angle theta):


   |+>_2 =  cos(theta/2)*|+'> + sin(theta/2)*|-'>,
   |->_2 =  -sin(theta/2)*|+'> + cos(theta/2)*|-'>.

Substituting this into the singlet state above, we get

   |psi> = -[ sin(theta/2)*|+>|+'> - cos(theta/2)*|+>|-'> +  
cos(theta/2)*|->|+'> + sin(theta/2)*|->+'>]/sqrt(2),


which exactly represents the requisite four worlds, corresponding to  
the (+,+'), (+,-'), 

Re: Non-locality and MWI

2016-05-06 Thread Bruno Marchal


On 05 May 2016, at 22:40, Brent Meeker wrote:




On 5/5/2016 5:57 AM, Bruno Marchal wrote:
I will at the positive aspect. You seem to agree with the  
computationalist FPI. That is a progress. Now just reread Everett.  
Pure state evolves in pure state, and never becomes mixture in the  
MW. The third person view is given by the wave or matric formalism.  
The relative state are given by partial trace. We can define a  
world by a set of things close for interaction, this automatically  
ensure locality.


But the partial trace is not a physical process, it's choice of the  
analyst.  Although decoherence provides some guidance it doesn't  
completely solve the Heisenberg cut problem.  And even after taking  
the partial trace and getting a reduced, diagonal density matrix  
there is no physical principle for saying which are realized and why  
the trace in that basis instead of another.


I think that the FPI is enough. The partial trace is not physical, but  
its phenomenology is real and dictated by the choice of the measuring  
apparatus. It would be physically real, like with the collapse, then  
we would have action at a distance.





Roland Omnes looks at this analysis and says, "QM is a probabilistic  
theory.  So when it predicts probabilities that all you can expect."



One of its book is the most brilliant defense of the MWI, but in the  
last paragraph of the book, he admit hating that idea, and decide that  
it was time to be irrational and decide that some God selects one  
physical reality.


Bruno



Brent

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Re: R: Re: Non-locality and MWI

2016-05-06 Thread Bruno Marchal


On 05 May 2016, at 19:43, 'scerir' via Everything List wrote:


Bruno writes:

Alice * (up + down) = Alice * up + Alice * down.
If Alice look, as many times as she want at the up/down state of the
particle,
she will find up (and always up) *and* down and always down.
The reason is that once she find up, Alice becomes Alice-up,
and that state does no more factor out the particle state (unless  
memory

erasure).

---

The paradox of the "Renninger type measurement" is that it causes some
changes in the state of the system “WITHOUT INTERACTION.”

Renninger discussed a “NEGATIVE RESULT” experiment:
a situation in which the detector DOES NOT DETECT ANYTHING.

But in spite of the fact that nothing happened to the detector,  
there is a

change
in the measured system (split, collapse, reduction, or whatever).

He considered a spherical wave of a photon after it extended beyond
the radius at which a scintillation detector was located in part of  
the solid

angle.
The state of the detector remained unchanged but, nevertheless, the  
wave-

function
of the photon is modified.

See ch. 4.1 here http://mist.npl.washington.edu/npl/int_rep/tiqm/TI_40.html
and also  http://mist.npl.washington.edu/npl/int_rep/tiqm/TI_fig_06.html

How is it possible to explain this situation? In MWI terms? In  
ManyMinds

terms?
Third person pov? First person pov? I'm asking that because there is a
strange mixture of (physical) reality and (subjective) information  
here.





Interesting, but my schedule makes it hard for me to analyse this just  
now. Now, if you think you can argue for non-locality from Renninger  
type of measurement, don't hesitate to show us. Here the point was  
just that the violation of Bell's inequality does not lead to non- 
local action, unless measurement leads to single realities.


A long time ago, I convinced my self that Elizur Vaidman type of  
measurement without interaction might be problematic with the MWI, but  
that was not the case. Is Renninger measurement related to this?


Of course, with computationalism all this are open problem. Would the  
physics extracted from computationalism leads to non-locality, I would  
decide to be a gardiner ;)


Bruno








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Re: Non-locality and MWI

2016-05-05 Thread Bruce Kellett

On 5/05/2016 10:57 pm, Bruno Marchal wrote:

On 05 May 2016, at 01:31, Bruce Kellett wrote:

This is where your fascination with the 1p-3p notion gets you into 
trouble. If the third person view (3p) means anything at all, it 
means simple intersubjective agreement. The third person is one who 
stands outside the particular experimental situation and observes the 
outcome. In the 'Quantum Darwinism' of Zeh, this corresponds to the 
fact that decoherence leaves many traces of a particular experimental 
result in the environment; this result can be shared among many 
'third persons' without degradation -- hence intersubjective agreement.


There is no 'person' who has the 'bird' view -- there is no-one who 
continues to see the superposition after dechorence has had its way. 
Your 1p-3p distinction works for person-copying, as in taking copies 
of a computer program, because there can be a third person who sees 
both copies, the one in Washington and the one in Moscow. Nothing 
similar is possible in the quantum case, so your continued use of the 
'peepee' language in discussions of quantum mechanics is just confused.


I will at the positive aspect. You seem to agree with the 
computationalist FPI. That is a progress. Now just reread Everett. 
Pure state evolves in pure state, and never becomes mixture in the MW. 
The third person view is given by the wave or matric formalism. The 
relative state are given by partial trace. We can define a world by a 
set of things close for interaction, this automatically ensure locality.


MWI with the partial trace, required in order that experiments give 
definite results, does give the transition froma pure state to a 
mixture. Certainly, the only sensible definition of a wolrd is a set of 
things closed for interaction -- this requires the partial trace, by the 
way, To claim that this automatically ensures locality is just nonsense.


...
As I said, there is no 'person' who has the 'bird' view. It is just 
your belief that this is the fundamental ontology. You have 
absolutely no direct evidence for this, nor could you have. The 
fundamental ontology could just be one world, with the universal wave 
function as nothing more than a calculational device -- you could not 
know the difference.


But this does not work, as Feynman and Everett already explained with 
the double slit. In "Fabric of Reality" David Deutsch made it even 
clearer using for slits.


You are confusing the Feynman paths of the path integral formalism with 
separate worlds. David Deutsch is famous for this particular idiotic 
confusion. You have just defined a 'world' above as a set of things 
closed for interaction. On that definition (with which I agree), the 
paths through the separate slits in a two-slit set-up cannot be separate 
worlds -- they are just separate paths in the Feynman sense.



..

As I expected, you simply duck the problem and make a fatuous appeal 
to authority. I have shown explicitly that the argument given by 
Tipler fails.

You have to rebut my argument.


I did. The error is in factoring Alice (+) state, which is impossible 
as her memory has changed in the two branches.


Rubbish. You seem to forget the argument that Tipler actually made. I 
reproduce it here:


There is a widely cited paper by Tipler (arxiv:quant-ph/0003146v1) that 
claims to show the MWI does away with non-locality. It is instructive to 
go through his argument, and to see how he has managed to deceive 
himself. We start with the singlet state:


|psi>  = (|+>|-> - |->|+>)/sqrt(2)

and then expand the state for the second particle in a different basis 
(at relative angle theta):


   |+>_2 =  cos(theta/2)*|+'> + sin(theta/2)*|-'>,
   |->_2 =  -sin(theta/2)*|+'> + cos(theta/2)*|-'>.

Substituting this into the singlet state above, we get

   |psi> = -[ sin(theta/2)*|+>|+'> - cos(theta/2)*|+>|-'> + 
cos(theta/2)*|->|+'> + sin(theta/2)*|->+'>]/sqrt(2),


which exactly represents the requisite four worlds, corresponding to the 
(+,+'), (+,-'), (-,+'), and (-,-') possibilities for joint results, each 
world weighted by the required probability. Tipler claims that this 
shows how the standard statistics come about by local measurements 
splitting the universe into distinct worlds.


He is, of course, deluding himself, because the above calculation is not 
local. It is, in fact, nothing more that the standard quantum 
calculations (with the projection postulate evident) that I gave above 
for the possible (+) and (-) results for Alice, combined in the one 
equation. It still uses the fact that Alice's measurement of particle 1 
affects the quantum state for particle 2 (which is, by then, a large 
spacelike distance away). Tipler utilizes the non-local nature of this 
change to extract theta, the relative orientation of magnets -- a 
relative orientation that can only be known by comparing orientations at 
A and B directly. So Tipler's derivation is every bit as much local or 
non-local 

Re: Non-locality and MWI

2016-05-05 Thread Brent Meeker



On 5/5/2016 5:57 AM, Bruno Marchal wrote:
I will at the positive aspect. You seem to agree with the 
computationalist FPI. That is a progress. Now just reread Everett. 
Pure state evolves in pure state, and never becomes mixture in the MW. 
The third person view is given by the wave or matric formalism. The 
relative state are given by partial trace. We can define a world by a 
set of things close for interaction, this automatically ensure locality.


But the partial trace is not a physical process, it's choice of the 
analyst.  Although decoherence provides some guidance it doesn't 
completely solve the Heisenberg cut problem.  And even after taking the 
partial trace and getting a reduced, diagonal density matrix there is no 
physical principle for saying which are realized and why the trace in 
that basis instead of another.  Roland Omnes looks at this analysis and 
says, "QM is a probabilistic theory.  So when it predicts probabilities 
that all you can expect."


Brent

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R: Re: Non-locality and MWI

2016-05-05 Thread 'scerir' via Everything List
Bruno writes:

Alice * (up + down) = Alice * up + Alice * down. 
If Alice look, as many times as she want at the up/down state of the 
particle, 
she will find up (and always up) *and* down and always down. 
The reason is that once she find up, Alice becomes Alice-up, 
and that state does no more factor out the particle state (unless memory 
erasure).

---

The paradox of the "Renninger type measurement" is that it causes some 
changes in the state of the system “WITHOUT INTERACTION.”  

Renninger discussed a “NEGATIVE RESULT” experiment:  
a situation in which the detector DOES NOT DETECT ANYTHING.  

But in spite of the fact that nothing happened to the detector, there is a 
change 
in the measured system (split, collapse, reduction, or whatever).  

He considered a spherical wave of a photon after it extended beyond 
the radius at which a scintillation detector was located in part of the solid 
angle. 
The state of the detector remained unchanged but, nevertheless, the wave-
function 
of the photon is modified. 

See ch. 4.1 here http://mist.npl.washington.edu/npl/int_rep/tiqm/TI_40.html
and also  http://mist.npl.washington.edu/npl/int_rep/tiqm/TI_fig_06.html

How is it possible to explain this situation? In MWI terms? In ManyMinds 
terms?
Third person pov? First person pov? I'm asking that because there is a
strange mixture of (physical) reality and (subjective) information here. 




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Re: Non-locality and MWI

2016-05-05 Thread Bruno Marchal


On 05 May 2016, at 01:31, Bruce Kellett wrote:


On 5/05/2016 5:17 am, Bruno Marchal wrote:

On 04 May 2016, at 01:25, Bruce Kellett wrote:

On 4/05/2016 3:41 am, Bruno Marchal wrote:

On 03 May 2016, at 00:32, Bruce Kellett wrote:

On 3/05/2016 1:49 am, Bruno Marchal wrote:

On 02 May 2016, at 07:54, Bruce Kellett wrote:

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett  wrote:


No, I disagree. The setting b has no effect on what happens  
at a remote location is sufficiently precise to encapsulate  
exactly what physicists mean by locality. In quantum field  
theory, this is generalized to the notion of local causality,  
which is the statement that the commutators of all spacelike  
separate variables vanish -- as you mention below.



And if you used full quantum description of the measuring  
apparatus and experimenter, and didn't assume any collapse on  
measurement, then there would in general be no single  
"setting b" in the region of spacetime where one experimenter  
was choosing a setting, but rather a superposition of  
different settings. Do you think your preferred definition  
can be meaningfully applied to this case, and if so how?


I do not know what you here mean by "collapse on measurement"?  
It seems that you might be confusing a collapse to a single  
world after measurement with the projection postulate of  
standard quantum theory. The projection postulate is essential  
if one is to get stable physical results -- repeated openings  
of the box in Schrödinger's cat experiments would  result in  
oscillations between dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and  
as I explained yesterday, it is just self-entanglement, or what  
I call often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state  
of the particle, she will find up (and always up) *and* down  
and always down. The reason is that once she find up, Alice  
becomes Alice-up, and that state does no more factor out the  
particle state (unless memory erasure).


That is just the projection postulate, it cannot be replaced if  
you want to agree with observation.


Well OK. If that is the projection postulate, then it is a  
theorem in QM-without collapse, through the direct use of the  
First Person Indeterminacy.


As I thought, you have confused this with the collapse of the  
wave function to a single world.


That is the confusion of the Copenhagen people, who believe  
(correctly) that a measurement select one world among many, but  
believe (incorrectly) that the other worlds, or wave suterms,  
have mysteriously disappear.


With Everett analysis of measurement, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of  
tensor product),


and it becomes:

Alice-seeing-up * up + Alice-seeing-down * down  (linearity of  
time evolution)



With the copenhagen collapse of the wave, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of  
tensor product),


and it becomes

Alice-seeing-up * up  (non-linearity of time evolution)

or

Alice-seeing-down * down (again with a non-linearity of time  
evolution)


The proportion of worlds, or the probability of results being  
given by the (square-root of 1/2)^2 (= 1/2), square root hidden  
above for reason of readability.


When it is boiled down, this is nothing more than a matter of  
taste. By concentrating on the individual worlds, so that


  A(|+>|-> - |->|+>) --> A(+)|+>|->   OR   A(-)|->|+>

where A(+) means "Alice sees + as her result", and so on, the  
conventional understanding simply implements the insights coming  
from decoherence and wider entanglement with the environment,  
leading to the emergence of disjointworlds: the  
original pure state reduces to a mixed state (represented by the  
use of 'OR' in the above equation) as a result of the partial  
trace over environmental degrees of freedom. The alternative  
formulation (where 'OR' is replaced by '+') simply retains the  
original pure state and does not represent the formation of  
disjoint worlds following environmental decoherence.

?

You talk like if the conventional understanding as many-worlds, and  
the MW was not leading to Many worlds.


I find it difficult to parse this sentence. The conventional  
understanding is that decoherence and the partial trace reduces the  
original pure state to a mixture. This is necessary if one wants the  
theory to produce definite results from experiments, rather than  
superpositions. The resulting 'worlds', if you want to call them  
that, are disjoint and do not have any influence on one another. If  
you want to believe that all the 'worlds' exist, then feel free, but  
that belief has no operational consequences -- Occam's Razor is the  
usual way of dispensing with such redundancies.


This is 

Re: Non-locality and MWI

2016-05-04 Thread Bruce Kellett

On 5/05/2016 5:17 am, Bruno Marchal wrote:

On 04 May 2016, at 01:25, Bruce Kellett wrote:

On 4/05/2016 3:41 am, Bruno Marchal wrote:

On 03 May 2016, at 00:32, Bruce Kellett wrote:

On 3/05/2016 1:49 am, Bruno Marchal wrote:

On 02 May 2016, at 07:54, Bruce Kellett wrote:

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett 
 wrote:



No, I disagree. The setting *b* has no effect on what
happens at a remote location is sufficiently precise to
encapsulate exactly what physicists mean by locality. In
quantum field theory, this is generalized to the notion of
local causality, which is the statement that the commutators
of all spacelike separate variables vanish -- as you mention
below.



And if you used full quantum description of the measuring 
apparatus and experimenter, and didn't assume any collapse on 
measurement, then there would in general be no single "setting 
b" in the region of spacetime where one experimenter was 
choosing a setting, but rather a superposition of different 
settings. Do you think your preferred definition can be 
meaningfully applied to this case, and if so how?


I do not know what you here mean by "collapse on measurement"? It 
seems that you might be confusing a collapse to a single world 
after measurement with the projection postulate of standard 
quantum theory. The projection postulate is essential if one is 
to get stable physical results -- repeated openings of the box in 
Schrödinger's cat experiments would  result in oscillations 
between dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and as 
I explained yesterday, it is just self-entanglement, or what I 
call often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state of 
the particle, she will find up (and always up) *and* down and 
always down. The reason is that once she find up, Alice becomes 
Alice-up, and that state does no more factor out the particle 
state (unless memory erasure).


That is just the projection postulate, it cannot be replaced if you 
want to agree with observation.


Well OK. If that is the projection postulate, then it is a theorem 
in QM-without collapse, through the direct use of the First Person 
Indeterminacy.


As I thought, you have confused this with the collapse of the wave 
function to a single world.


That is the confusion of the Copenhagen people, who believe 
(correctly) that a measurement select one world among many, but 
believe (incorrectly) that the other worlds, or wave suterms, have 
mysteriously disappear.


With Everett analysis of measurement, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of 
tensor product),


and it becomes:

Alice-seeing-up * up + Alice-seeing-down * down  (linearity of time 
evolution)



With the copenhagen collapse of the wave, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of 
tensor product),


and it becomes

Alice-seeing-up * up  (non-linearity of time evolution)

or

Alice-seeing-down * down (again with a non-linearity of time evolution)

The proportion of worlds, or the probability of results being given 
by the (square-root of 1/2)^2 (= 1/2), square root hidden above for 
reason of readability.


When it is boiled down, this is nothing more than a matter of taste. 
By concentrating on the individual worlds, so that


  A(|+>|-> - |->|+>) --> A(+)|+>|->   OR   A(-)|->|+>

where A(+) means "Alice sees + as her result", and so on, the 
conventional understanding simply implements the insights coming from 
decoherence and wider entanglement with the environment, leading to 
the emergence of disjoint worlds: the original pure state reduces to 
a mixed state (represented by the use of 'OR' in the above equation) 
as a result of the partial trace over environmental degrees of 
freedom. The alternative formulation (where 'OR' is replaced by '+') 
simply retains the original pure state and does not represent the 
formation of disjoint worlds following environmental decoherence.

?

You talk like if the conventional understanding as many-worlds, and 
the MW was not leading to Many worlds.


I find it difficult to parse this sentence. The conventional 
understanding is that decoherence and the partial trace reduces the 
original pure state to a mixture. This is necessary if one wants the 
theory to produce definite results from experiments, rather than 
superpositions. The resulting 'worlds', if you want to call them that, 
are disjoint and do not have any influence on one another. If you want 
to believe that all the 'worlds' exist, then feel free, but that belief 
has no operational consequences -- Occam's Razor is the usual way of 
dispensing with such redundancies.


This is sometimes referred to (following Tegmark) as the difference 
between the 'frog' and 'bird' views.



Re: Non-locality and MWI

2016-05-04 Thread Bruno Marchal


On 04 May 2016, at 01:25, Bruce Kellett wrote:


On 4/05/2016 3:41 am, Bruno Marchal wrote:

On 03 May 2016, at 00:32, Bruce Kellett wrote:

On 3/05/2016 1:49 am, Bruno Marchal wrote:

On 02 May 2016, at 07:54, Bruce Kellett wrote:

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett  wrote:


No, I disagree. The setting b has no effect on what happens at  
a remote location is sufficiently precise to encapsulate  
exactly what physicists mean by locality. In quantum field  
theory, this is generalized to the notion of local causality,  
which is the statement that the commutators of all spacelike  
separate variables vanish -- as you mention below.



And if you used full quantum description of the measuring  
apparatus and experimenter, and didn't assume any collapse on  
measurement, then there would in general be no single "setting  
b" in the region of spacetime where one experimenter was  
choosing a setting, but rather a superposition of different  
settings. Do you think your preferred definition can be  
meaningfully applied to this case, and if so how?


I do not know what you here mean by "collapse on measurement"?  
It seems that you might be confusing a collapse to a single  
world after measurement with the projection postulate of  
standard quantum theory. The projection postulate is essential  
if one is to get stable physical results -- repeated openings of  
the box in Schrödinger's cat experiments would  result in  
oscillations between dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and  
as I explained yesterday, it is just self-entanglement, or what I  
call often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state of  
the particle, she will find up (and always up) *and* down and  
always down. The reason is that once she find up, Alice becomes  
Alice-up, and that state does no more factor out the particle  
state (unless memory erasure).


That is just the projection postulate, it cannot be replaced if  
you want to agree with observation.


Well OK. If that is the projection postulate, then it is a theorem  
in QM-without collapse, through the direct use of the First Person  
Indeterminacy.


As I thought, you have confused this with the collapse of the wave  
function to a single world.


That is the confusion of the Copenhagen people, who believe  
(correctly) that a measurement select one world among many, but  
believe (incorrectly) that the other worlds, or wave suterms, have  
mysteriously disappear.


With Everett analysis of measurement, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of  
tensor product),


and it becomes:

Alice-seeing-up * up + Alice-seeing-down * down  (linearity of time  
evolution)



With the copenhagen collapse of the wave, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of  
tensor product),


and it becomes

Alice-seeing-up * up  (non-linearity of time evolution)

or

Alice-seeing-down * down (again with a non-linearity of time  
evolution)


The proportion of worlds, or the probability of results being given  
by the (square-root of 1/2)^2 (= 1/2), square root hidden above for  
reason of readability.


When it is boiled down, this is nothing more than a matter of taste.  
By concentrating on the individual worlds, so that


  A(|+>|-> - |->|+>) --> A(+)|+>|->   OR   A(-)|->|+>

where A(+) means "Alice sees + as her result", and so on, the  
conventional understanding simply implements the insights coming  
from decoherence and wider entanglement with the environment,  
leading to the emergence of disjoint worlds: the original pure state  
reduces to a mixed state (represented by the use of 'OR' in the  
above equation) as a result of the partial trace over environmental  
degrees of freedom. The alternative formulation (where 'OR' is  
replaced by '+') simply retains the original pure state and does not  
represent the formation of disjoint worlds following environmental  
decoherence.


?

You talk like if the conventional understanding as many-worlds, and  
the MW was not leading to Many worlds.







This is sometimes referred to (following Tegmark) as the difference  
between the 'frog' and 'bird' views.



(It is more precisly the difference between the first person view and  
the third person view.  It is not a question of scaling.






Nothing substantial hangs on this -- it is just a difference of  
perspective which adds nothing to the state. The 'frog' view is what  
you would call a result of FPI:



OK. Nice you see that.


I see it as a result of the formation of actual disjoint worlds that  
continue to evolve separately, never to influence one another again.  
The 'bird' view is an abstraction that never actually influences  
anyone or anything.


The bird view is the universal wave, 

Re: Non-locality and MWI

2016-05-03 Thread Bruce Kellett

On 4/05/2016 3:41 am, Bruno Marchal wrote:

On 03 May 2016, at 00:32, Bruce Kellett wrote:

On 3/05/2016 1:49 am, Bruno Marchal wrote:

On 02 May 2016, at 07:54, Bruce Kellett wrote:

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett 
> wrote:



No, I disagree. The setting *b* has no effect on what happens
at a remote location is sufficiently precise to encapsulate
exactly what physicists mean by locality. In quantum field
theory, this is generalized to the notion of local causality,
which is the statement that the commutators of all spacelike
separate variables vanish -- as you mention below.



And if you used full quantum description of the measuring 
apparatus and experimenter, and didn't assume any collapse on 
measurement, then there would in general be no single "setting b" 
in the region of spacetime where one experimenter was choosing a 
setting, but rather a superposition of different settings. Do you 
think your preferred definition can be meaningfully applied to 
this case, and if so how?


I do not know what you here mean by "collapse on measurement"? It 
seems that you might be confusing a collapse to a single world 
after measurement with the projection postulate of standard quantum 
theory. The projection postulate is essential if one is to get 
stable physical results -- repeated openings of the box in 
Schrödinger's cat experiments would result in oscillations between 
dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and as I 
explained yesterday, it is just self-entanglement, or what I call 
often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state of the 
particle, she will find up (and always up) *and* down and always 
down. The reason is that once she find up, Alice becomes Alice-up, 
and that state does no more factor out the particle state (unless 
memory erasure).


That is just the projection postulate, it cannot be replaced if you 
want to agree with observation.


Well OK. If that is the projection postulate, then it is a theorem in 
QM-without collapse, through the direct use of the First Person 
Indeterminacy.


As I thought, you have confused this with the collapse of the wave 
function to a single world.


That is the confusion of the Copenhagen people, who believe 
(correctly) that a measurement select one world among many, but 
believe (incorrectly) that the other worlds, or wave suterms, have 
mysteriously disappear.


With Everett analysis of measurement, we have:

Alice * (up + down) = Alice * up + Alice * down. (linearity of tensor 
product),


and it becomes:

Alice-seeing-up * up + Alice-seeing-down * down  (linearity of time 
evolution)



With the copenhagen collapse of the wave, we have:

Alice * (up + down) = Alice * up + Alice * down. (linearity of tensor 
product),


and it becomes

Alice-seeing-up * up  (non-linearity of time evolution)

or

Alice-seeing-down * down (again with a non-linearity of time evolution)

The proportion of worlds, or the probability of results being given by 
the (square-root of 1/2)^2 (= 1/2), square root hidden above for 
reason of readability.


When it is boiled down, this is nothing more than a matter of taste. By 
concentrating on the individual worlds, so that


  A(|+>|-> - |->|+>) --> A(+)|+>|->   OR A(-)|->|+>

where A(+) means "Alice sees + as her result", and so on, the 
conventional understanding simply implements the insights coming from 
decoherence and wider entanglement with the environment, leading to the 
emergence of disjoint worlds: the original pure state reduces to a mixed 
state (represented by the use of 'OR' in the above equation) as a result 
of the partial trace over environmental degrees of freedom. The 
alternative formulation (where 'OR' is replaced by '+') simply retains 
the original pure state and does not represent the formation of disjoint 
worlds following environmental decoherence.


This is sometimes referred to (following Tegmark) as the difference 
between the 'frog' and 'bird' views. Nothing substantial hangs on this 
-- it is just a difference of perspective which adds nothing to the 
state. The 'frog' view is what you would call a result of FPI: I see it 
as a result of the formation of actual disjoint worlds that continue to 
evolve separately, never to influence one another again. The 'bird' view 
is an abstraction that never actually influences anyone or anything.


Unless you sort out this confusion you will never understand quantum 
mechanics.


You see a confusion, because sometimes I talk about the projection 
postulate in the copenhagen frame, where it is associated with the 
collapse during the corresponding measurement, and sometimes I talk 
about the projection postulate in the frame of the non-collapse 
formulation of QM 

Re: Non-locality and MWI

2016-05-03 Thread Bruno Marchal


On 03 May 2016, at 00:32, Bruce Kellett wrote:


On 3/05/2016 1:49 am, Bruno Marchal wrote:

On 02 May 2016, at 07:54, Bruce Kellett wrote:

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett  wrote:


No, I disagree. The setting b has no effect on what happens at a  
remote location is sufficiently precise to encapsulate exactly  
what physicists mean by locality. In quantum field theory, this  
is generalized to the notion of local causality, which is the  
statement that the commutators of all spacelike separate  
variables vanish -- as you mention below.



And if you used full quantum description of the measuring  
apparatus and experimenter, and didn't assume any collapse on  
measurement, then there would in general be no single "setting b"  
in the region of spacetime where one experimenter was choosing a  
setting, but rather a superposition of different settings. Do you  
think your preferred definition can be meaningfully applied to  
this case, and if so how?


I do not know what you here mean by "collapse on measurement"? It  
seems that you might be confusing a collapse to a single world  
after measurement with the projection postulate of standard  
quantum theory. The projection postulate is essential if one is to  
get stable physical results -- repeated openings of the box in  
Schrödinger's cat experiments would  result in oscillations  
between dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and as  
I explained yesterday, it is just self-entanglement, or what I call  
often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state of  
the particle, she will find up (and always up) *and* down and  
always down. The reason is that once she find up, Alice becomes  
Alice-up, and that state does no more factor out the particle state  
(unless memory erasure).


That is just the projection postulate, it cannot be replaced if you  
want to agree with observation.


Well OK. If that is the projection postulate, then it is a theorem in  
QM-without collapse, through the direct use of the First Person  
Indeterminacy.




As I thought, you have confused this with the collapse of the wave  
function to a single world.


That is the confusion of the Copenhagen people, who believe  
(correctly) that a measurement select one world among many, but  
believe (incorrectly) that the other worlds, or wave suterms, have  
mysteriously disappear.


With Everett analysis of measurement, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of  
tensor product),


and it becomes:

Alice-seeing-up * up + Alice-seeing-down * down  (linearity of time  
evolution)



With the copenhagen collapse of the wave, we have:

Alice * (up + down) = Alice * up + Alice * down.   (linearity of  
tensor product),


and it becomes

Alice-seeing-up * up  (non-linearity of time evolution)

or

Alice-seeing-down * down (again with a non-linearity of time evolution)

The proportion of worlds, or the probability of results being given by  
the (square-root of 1/2)^2 (= 1/2), square root hidden above for  
reason of readability.





Unless you sort out this confusion you will never understand quantum  
mechanics.



You see a confusion, because sometimes I talk about the projection  
postulate in the copenhagen frame, where it is associated with the  
collapse during the corresponding measurement, and sometimes I talk  
about the projection postulate in the frame of the non-collapse  
formulation of QM (Everett), in which case there is no collapse  
associated of course, but the differentiating or bifurcating realities/ 
computations (relative terms of the linear wave).


See Price for the analysis of the singlet state in those terms. Or  
Tipler, that you interpreted incorrectly apparently by avoiding the  
first person indeterminacy.


[Computationalist Aparte
And with Digital Mechanism, the mind-body problem is reduced with the  
problem of justifying the wave-matrix itself from an apparently larger  
one: all halting computations (equivalently, all true sigma_1  
arithmetical sentences).


For this we can define "bet on p = 1" by []p & p, with p sigma_, with  
two slight but important variants ([]p & <>p,  []p & <>p & p).


The three of them gives rise to a quantization obeying quantum logic,  
with semantics in term of differentiating neighborhood, or (at the G*  
level) a more complicated limiting proximity structure. The key  
advantage is that such logics appears at the G* level (in case you  
have read one of my papers) and this help to understand the (giant)  
difference between the qualia and the quanta, by the difference  
between G and G* (inherited by the variants above, except []p & p, a  
very interesting fact actually, but I will stop here on this for now).]



Hmm..., It looks like on this list, it is the 

Re: Non-locality and MWI

2016-05-02 Thread Bruce Kellett

On 3/05/2016 1:49 am, Bruno Marchal wrote:

On 02 May 2016, at 07:54, Bruce Kellett wrote:

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett 
> wrote:



No, I disagree. The setting *b* has no effect on what happens at
a remote location is sufficiently precise to encapsulate exactly
what physicists mean by locality. In quantum field theory, this
is generalized to the notion of local causality, which is the
statement that the commutators of all spacelike separate
variables vanish -- as you mention below.



And if you used full quantum description of the measuring apparatus 
and experimenter, and didn't assume any collapse on measurement, 
then there would in general be no single "setting b" in the region 
of spacetime where one experimenter was choosing a setting, but 
rather a superposition of different settings. Do you think your 
preferred definition can be meaningfully applied to this case, and 
if so how?


I do not know what you here mean by "collapse on measurement"? It 
seems that you might be confusing a collapse to a single world after 
measurement with the projection postulate of standard quantum theory. 
The projection postulate is essential if one is to get stable 
physical results -- repeated openings of the box in Schrödinger's cat 
experiments would  result in oscillations between dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and as I 
explained yesterday, it is just self-entanglement, or what I call 
often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state of the 
particle, she will find up (and always up) *and* down and always down. 
The reason is that once she find up, Alice becomes Alice-up, and that 
state does no more factor out the particle state (unless memory erasure).


That is just the projection postulate, it cannot be replaced if you want 
to agree with observation. As I thought, you have confused this with the 
collapse of the wave function to a single world. Unless you sort out 
this confusion you will never understand quantum mechanics.


Bruce

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Re: Non-locality and MWI

2016-05-02 Thread Bruno Marchal


On 02 May 2016, at 06:13, Bruce Kellett wrote:


On 2/05/2016 1:31 pm, Jesse Mazer wrote:
On Sun, May 1, 2016 at 8:49 PM, Bruce Kellett  wrote:

On 2/05/2016 7:52 am, Jesse Mazer wrote:
On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett  wrote:
That is a semantic matter. There is a problem if one insists that  
"non-local" means the propagation of a real physical influence  
(particle of wave) faster-than-light. But "non-locality" in  
standard quantum usage means the above -- the entangled state acts  
as a single physical unit even when its components are widely  
separated.



I agree it's a semantic matter, but your description of the  
"standard quantum usage" doesn't seem to be accurate. Among  
physicists, the standard understanding of "local" and "non-local"  
in the context of Bell's theorem and relativity is the one I cited  
earlier--a theory is "local" if and only if the function that  
gives you the value of local variables at any given point P in  
spacetime (or gives the best possible probabilistic prediction  
about their values, in the case of a non-deterministic theory)  
only requires as input the values of local variables at other  
points that lie within P's past light cone, whereas a "non-local"  
theory would be one where the function requires knowledge of  
variables at a spacelike separation from P to generate the best  
possible prediction. As I mentioned, I think this is explained  
most clearly inBell's paper "La  
nouvelle cuisine" which you can find in the collection "Speakable  
and Unspeakable in Quantum Mechanics", and you can also find it  
discussed in other sources, http://arxiv.org/abs/0707.0401 for  
example. As for "acts as a single physical unit", that seems like  
a decidedly non-mathematical definition which physicists would  
steer clear of, unless you can provide a mathematical  
formalization or what you mean, or cite a mainstream source that  
provides one.


I don't see any paper of the title you mention in my copy of  
"Speakable and Unspeakable in Quantum Mechanics", could you give a  
page number reference?



It's on p. 232 of the 2nd edition, chapter 24.


I only have access to the first edition -- this must refer to a  
later paper of Bell's.



It is not in my book "speakable and unspeakable", but it is in my book  
" John S. Bell on The Foundations of Quantum Mechanics". edited by M.  
Bell, K. Gottfried, & M. Veltman, page 216 (published by World  
Scientific 2001, published originally in 1990).


It seems to me that his argument that QM cannot be embedded in a local  
close theory relies on the assumption of definite unique outcomes for  
the measurement, instead of the Everett FPI. But I just glanced to it,  
and I will reread it.


Bruno







What I did find was chapter 8, "Locality in quantum mechanics:  
reply to critics" (pp. 63-66).  In that chapter, Bell says: "...now  
we add the hypothesis of locality, that the setting b of a  
particular instrument has no effect on what happens, A, in a remote  
region, and likewise that a has no effect on B. With these  
local forms, it is not possible to find functions A and B and a  
probability distribution rho which give the correlations  = - 
a.b."


This is an informal statement of exactly the notion of locality or  
non-locality that I have been using all along. Your more convoluted  
statement may bear some relation to Bell's theory of local beables  
(chapter 7 of his book), but the complications are unnecessary --  
the informal definition is the one most physicists would use in  
practice.



I disagree, physicists generally only use informal definitions if  
it's obvious they could be formalized, or if they are *implied* by  
some more precise technical definition (the looser definition you  
mention above would be implied by the more precise one I mentioned,  
*if* one assumes there is a unique truth about the setting at b and  
the measurement A).


No, I disagree. The setting b has no effect on what happens at a  
remote location is sufficiently precise to encapsulate exactly what  
physicists mean by locality. In quantum field theory, this is  
generalized to the notion of local causality, which is the statement  
that the commutators of all spacelike separate variables vanish --  
as you mention below. If quantum mechanics is complete, then the  
current quantum state contains all the information about the system  
that is either available or relevant. Sure, if you include hidden  
variables, then you are saying that QM as currently formulated is  
incomplete. That may be the case, but even so, the given definition  
of locality still holds -- it is about FTL propagation of  
information, nothing else.


My qualitative definition of non-locality is not non-standard -- it  
is the definition frequently used by Bell, and (almost) everyone  
else. Your definition seems to want to take account of some 

Re: Non-locality and MWI

2016-05-02 Thread Bruno Marchal


On 02 May 2016, at 07:54, Bruce Kellett wrote:


On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett  wrote:


No, I disagree. The setting b has no effect on what happens at a  
remote location is sufficiently precise to encapsulate exactly what  
physicists mean by locality. In quantum field theory, this is  
generalized to the notion of local causality, which is the  
statement that the commutators of all spacelike separate variables  
vanish -- as you mention below.



And if you used full quantum description of the measuring apparatus  
and experimenter, and didn't assume any collapse on measurement,  
then there would in general be no single "setting b" in the region  
of spacetime where one experimenter was choosing a setting, but  
rather a superposition of different settings. Do you think your  
preferred definition can be meaningfully applied to this case, and  
if so how?


I do not know what you here mean by "collapse on measurement"? It  
seems that you might be confusing a collapse to a single world after  
measurement with the projection postulate of standard quantum  
theory. The projection postulate is essential if one is to get  
stable physical results -- repeated openings of the box in  
Schrödinger's cat experiments would  result in oscillations between  
dead and alive cats.


The projection postulate is replaced by the FPI in Everett, and as I  
explained yesterday, it is just self-entanglement, or what I call  
often the contagion of superposition:


Alice * (up + down) = Alice * up + Alice * down.

If Alice look, as many times as she want at the up/down state of the  
particle, she will find up (and always up) *and* down and always down.  
The reason is that once she find up, Alice becomes Alice-up, and that  
state does no more factor out the particle state (unless memory  
erasure).


Bruno





This is ruled out by decoherence -- extended entanglement with the  
environment is irreversible, so the result after a completed  
measurement is that the system is in the eigenstate corresponding to  
the observed eigenvalue. This says nothing about whether or not the  
other eigenvalues are observed in the disjoint worlds of the MWI.


It seems, if fact, that whether there is a particular setting of b  
in the remote region or not is not really an issue. Bob is measuring  
the same entangled pair as Alice, and he only ever has one setting:  
Alice may not know this setting until later, but this could scarcely  
be called  a superposition of different settings -- this is not part  
of the standard quantum formalism, even in MWI. To Alice, before she  
exchanges notes with Bob, she merely knows that the quantum state of  
Bob's particle can be expressed in any number of possible bases, but  
that does not mean that there is a superposition over all of these  
alternative bases. Try writing such a superposition our in standard  
form if you need to convince yourself of this fact.


My qualitative definition of non-locality is not non-standard --  
it is the definition frequently used by Bell, and (almost)  
everyone else. Your definition seems to want to take account of  
some sort of hidden variables, such that the quantum state as  
written does not contain all the 
information about that state.



There are no hidden variables in the MWI (though the definition of  
locality should be general enough to cover theories with hidden  
variables as well as ones with no hidden variables, since Bell's  
theorem is meant to rule out local realist theories of either  
type). The "quantum state as written" does not give any definite  
outcomes of measurements, only a set of amplitudes on different  
eigenvectors associated with particular eigenvalues, which are  
understood as possible measurement results.


True, but not relevant for these purposes. I am not ruling out an  
Everettian interpretation of the state vector -- my definition of  
locality simply rules out faster than light (FTL) transfer of  
information. Given the standard quantum treatment of the entangled  
singlet state, non-locality is unavoidable.


Without any assumption of "collapse", the *amplitudes* assigned to  
local measurements on either member of an entangled pair could be  
determined solely from amplitudes on locally-measurable variables  
in the past light cone--do you disagree?


No, I don't disagree. But I also don't see the point -- the  
preparation of the singlet state is all that can be known about the  
states that either Alice or Bob have available for measurement.  
Addition information from the past light cone need be considered  
only if you want to pursue a "superdeterministic" theory in which A  
and B are not actually free to determine their measurement angles.


That does not mean that there is actually a physical transfer of  
particles or waves FTL, it simply means that the state is a unity,  
and changing 

Re: Non-locality and MWI

2016-05-01 Thread Bruce Kellett

On 2/05/2016 3:31 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 1:10 AM, Bruce Kellett 
> wrote:


On 2/05/2016 1:31 pm, Jesse Mazer wrote:

On Sun, May 1, 2016 at 8:49 PM, Bruce Kellett
> wrote:

On 2/05/2016 7:52 am, Jesse Mazer wrote:

On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett
> wrote:

That is a semantic matter. There is a problem if one
insists that "non-local" means the propagation of a real
physical influence (particle of wave) faster-than-light.
But "non-locality" in standard quantum usage means the
above -- the entangled state acts as a single physical
unit even when its components are widely separated.



I agree it's a semantic matter, but your description of the
"standard quantum usage" doesn't seem to be accurate. Among
physicists, the standard understanding of "local" and
"non-local" in the context of Bell's theorem and relativity
is the one I cited earlier--a theory is "local" if and only
if the function that gives you the value of local variables
at any given point P in spacetime (or gives the best
possible probabilistic prediction about their values, in the
case of a non-deterministic theory) only requires as input
the values of local variables at other points that lie
within P's past light cone, whereas a "non-local" theory
would be one where the function requires knowledge of
variables at a spacelike separation from P to generate the
best possible prediction. As I mentioned, I think this is
explained most clearly in Bell's paper "La nouvelle cuisine"
which you can find in the collection "Speakable and
Unspeakable in Quantum Mechanics", and you can also find it
discussed in other sources, http://arxiv.org/abs/0707.0401
for example. As for "acts as a single physical unit", that
seems like a decidedly non-mathematical definition which
physicists would steer clear of, unless you can provide a
mathematical formalization or what you mean, or cite a
mainstream source that provides one.


I don't see any paper of the title you mention in my copy of
"Speakable and Unspeakable in Quantum Mechanics", could you
give a page number reference?



It's on p. 232 of the 2nd edition, chapter 24.


I have now looked at the paper by Norsen. It seems that the more
detailed definiton of locality does little more than remove the
notion of "superdeterminism" from the equation -- the idea that
things in the common past of A and B could conspire to give rise
to the correlations.



The paper by Norsen at http://arxiv.org/pdf/0707.0401v3.pdf does 
mention the issue of ruling out superdeterminism, but that wasn't what 
I was referring to when I talked about the definition in La nouvelle 
cuisine which is repeated in Norsen's paper. Rather I was talking 
about equation 1 on page 4 whose physical meaning in terms of past 
light cones is show in Fig. 2 on the same page. Referring to the 
diagram and equation, b1 refers to the physical state of local 
variables in region 1, b2 refers to the physical state of local 
variables in another region 2 at a spacelike separation of 1, and B3 
refers to some sufficiently detailed set of local states in region 3 
which is in the past light cone of region 1, but entirely outside the 
past light cone of region 2. The idea is that by picking a 
sufficiently detailed set for your B3, you can have it so that once 
you know B3, additional knowledge of b2 is irrelevant to your 
prediction of what's going on in b1, i.e. you don't need anything 
outside the past light cone of 1 to make the best possible physical 
prediction about the physical facts in that region. So, nothing to do 
with superdeterminism, just a more formal statement of the idea I 
described earlier about the function for making predictions about a 
given region depending only on facts in the past light cone of that 
region.


And that is all I have ever claimed about locality -- that is what is 
built into the formal quantum description of the state. The more 
elaborate definition does not add anything substantive - it merely rules 
out some alternative formulations of the state that go beyond standard QM.


Bruce

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Re: Non-locality and MWI

2016-05-01 Thread Bruce Kellett

On 2/05/2016 3:15 pm, Jesse Mazer wrote:
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett 
> wrote:



No, I disagree. The setting *b* has no effect on what happens at a
remote location is sufficiently precise to encapsulate exactly
what physicists mean by locality. In quantum field theory, this is
generalized to the notion of local causality, which is the
statement that the commutators of all spacelike separate variables
vanish -- as you mention below.



And if you used full quantum description of the measuring apparatus 
and experimenter, and didn't assume any collapse on measurement, then 
there would in general be no single "setting b" in the region of 
spacetime where one experimenter was choosing a setting, but rather a 
superposition of different settings. Do you think your preferred 
definition can be meaningfully applied to this case, and if so how?


I do not know what you here mean by "collapse on measurement"? It seems 
that you might be confusing a collapse to a single world after 
measurement with the projection postulate of standard quantum theory. 
The projection postulate is essential if one is to get stable physical 
results -- repeated openings of the box in Schrödinger's cat experiments 
would  result in oscillations between dead and alive cats. This is ruled 
out by decoherence -- extended entanglement with the environment is 
irreversible, so the result after a completed measurement is that the 
system is in the eigenstate corresponding to the observed eigenvalue. 
This says nothing about whether or not the other eigenvalues are 
observed in the disjoint worlds of the MWI.


It seems, if fact, that whether there is a particular setting of b in 
the remote region or not is not really an issue. Bob is measuring the 
same entangled pair as Alice, and he only ever has one setting: Alice 
may not know this setting until later, but this could scarcely be 
called  a superposition of different settings -- this is not part of the 
standard quantum formalism, even in MWI. To Alice, before she exchanges 
notes with Bob, she merely knows that the quantum state of Bob's 
particle can be expressed in any number of possible bases, but that does 
not mean that there is a superposition over all of these alternative 
bases. Try writing such a superposition our in standard form if you need 
to convince yourself of this fact.



My qualitative definition of non-locality is not non-standard --
it is the definition frequently used by Bell, and (almost)
everyone else. Your definition seems to want to take account of
some sort of hidden variables, such that the quantum state as
written does not contain all the information about that state.



There are no hidden variables in the MWI (though the definition of 
locality should be general enough to cover theories with hidden 
variables as well as ones with no hidden variables, since Bell's 
theorem is meant to rule out local realist theories of either type). 
The "quantum state as written" does not give any definite outcomes of 
measurements, only a set of amplitudes on different eigenvectors 
associated with particular eigenvalues, which are understood as 
possible measurement results.


True, but not relevant for these purposes. I am not ruling out an 
Everettian interpretation of the state vector -- my definition of 
locality simply rules out faster than light (FTL) transfer of 
information. Given the standard quantum treatment of the entangled 
singlet state, non-locality is unavoidable.


Without any assumption of "collapse", the *amplitudes* assigned to 
local measurements on either member of an entangled pair could be 
determined solely from amplitudes on locally-measurable variables in 
the past light cone--do you disagree?


No, I don't disagree. But I also don't see the point -- the preparation 
of the singlet state is all that can be known about the states that 
either Alice or Bob have available for measurement. Addition information 
from the past light cone need be considered only if you want to pursue a 
"superdeterministic" theory in which A and B are not actually free to 
determine their measurement angles.



That does not mean that there is actually a physical transfer of
particles or waves FTL, it simply means that the state is a unity,
and changing one part changes the whole state. That is the nature
of quantum non-locality -- it does not have a local explanation,
even a FTL explanation.


There are no non-mathematical "explanations" for anything whatsoever 
in physics (obviously there can be explanations in words, but these 
are understood as shorthand for arguments that could be formalized 
mathematically). And in terms of mathematical physics, the 
"explanation" for a local physical fact about what's happening in one 
point in spacetime is just the mathematical function representing the 
"laws of physics" along 

Re: Non-locality and MWI

2016-05-01 Thread Jesse Mazer
On Mon, May 2, 2016 at 1:10 AM, Bruce Kellett 
wrote:

> On 2/05/2016 1:31 pm, Jesse Mazer wrote:
>
> On Sun, May 1, 2016 at 8:49 PM, Bruce Kellett 
> wrote:
>
>> On 2/05/2016 7:52 am, Jesse Mazer wrote:
>>
>> On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett <
>> bhkell...@optusnet.com.au> wrote:
>>
>>> That is a semantic matter. There is a problem if one insists that
>>> "non-local" means the propagation of a real physical influence (particle of
>>> wave) faster-than-light. But "non-locality" in standard quantum usage means
>>> the above -- the entangled state acts as a single physical unit even when
>>> its components are widely separated.
>>
>>
>>
>> I agree it's a semantic matter, but your description of the "standard
>> quantum usage" doesn't seem to be accurate. Among physicists, the standard
>> understanding of "local" and "non-local" in the context of Bell's theorem
>> and relativity is the one I cited earlier--a theory is "local" if and only
>> if the function that gives you the value of local variables at any given
>> point P in spacetime (or gives the best possible probabilistic prediction
>> about their values, in the case of a non-deterministic theory) only
>> requires as input the values of local variables at other points that lie
>> within P's past light cone, whereas a "non-local" theory would be one where
>> the function requires knowledge of variables at a spacelike separation from
>> P to generate the best possible prediction. As I mentioned, I think this is
>> explained most clearly in Bell's paper "La nouvelle cuisine" which you can
>> find in the collection "Speakable and Unspeakable in Quantum Mechanics",
>> and you can also find it discussed in other sources,
>> http://arxiv.org/abs/0707.0401 for example. As for "acts as a single
>> physical unit", that seems like a decidedly non-mathematical definition
>> which physicists would steer clear of, unless you can provide a
>> mathematical formalization or what you mean, or cite a mainstream source
>> that provides one.
>>
>>
>> I don't see any paper of the title you mention in my copy of "Speakable
>> and Unspeakable in Quantum Mechanics", could you give a page number
>> reference?
>>
>
>
> It's on p. 232 of the 2nd edition, chapter 24.
>
>
> I have now looked at the paper by Norsen. It seems that the more detailed
> definiton of locality does little more than remove the notion of
> "superdeterminism" from the equation -- the idea that things in the common
> past of A and B could conspire to give rise to the correlations.
>


The paper by Norsen at http://arxiv.org/pdf/0707.0401v3.pdf does mention
the issue of ruling out superdeterminism, but that wasn't what I was
referring to when I talked about the definition in La nouvelle cuisine
which is repeated in Norsen's paper. Rather I was talking about equation 1
on page 4 whose physical meaning in terms of past light cones is show in
Fig. 2 on the same page. Referring to the diagram and equation, b1 refers
to the physical state of local variables in region 1, b2 refers to the
physical state of local variables in another region 2 at a spacelike
separation of 1, and B3 refers to some sufficiently detailed set of local
states in region 3 which is in the past light cone of region 1, but
entirely outside the past light cone of region 2. The idea is that by
picking a sufficiently detailed set for your B3, you can have it so that
once you know B3, additional knowledge of b2 is irrelevant to your
prediction of what's going on in b1, i.e. you don't need anything outside
the past light cone of 1 to make the best possible physical prediction
about the physical facts in that region. So, nothing to do with
superdeterminism, just a more formal statement of the idea I described
earlier about the function for making predictions about a given region
depending only on facts in the past light cone of that region.

Jesse

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Re: Non-locality and MWI

2016-05-01 Thread Jesse Mazer
On Mon, May 2, 2016 at 12:13 AM, Bruce Kellett 
wrote:

>
> No, I disagree. The setting *b* has no effect on what happens at a remote
> location is sufficiently precise to encapsulate exactly what physicists
> mean by locality. In quantum field theory, this is generalized to the
> notion of local causality, which is the statement that the commutators of
> all spacelike separate variables vanish -- as you mention below.
>


And if you used full quantum description of the measuring apparatus and
experimenter, and didn't assume any collapse on measurement, then there
would in general be no single "setting b" in the region of spacetime where
one experimenter was choosing a setting, but rather a superposition of
different settings. Do you think your preferred definition can be
meaningfully applied to this case, and if so how?


>
> My qualitative definition of non-locality is not non-standard -- it is the
>> definition frequently used by Bell, and (almost) everyone else. Your
>> definition seems to want to take account of some sort of hidden variables,
>> such that the quantum state as written does not contain all the information
>> about that state.
>>
>
>
> There are no hidden variables in the MWI (though the definition of
> locality should be general enough to cover theories with hidden variables
> as well as ones with no hidden variables, since Bell's theorem is meant to
> rule out local realist theories of either type). The "quantum state as
> written" does not give any definite outcomes of measurements, only a set of
> amplitudes on different eigenvectors associated with particular
> eigenvalues, which are understood as possible measurement results.
>
>
> True, but not relevant for these purposes. I am not ruling out an
> Everettian interpretation of the state vector -- my definition of locality
> simply rules out faster than light (FTL) transfer of information. Given the
> standard quantum treatment of the entangled singlet state, non-locality is
> unavoidable.
>

Without any assumption of "collapse", the *amplitudes* assigned to local
measurements on either member of an entangled pair could be determined
solely from amplitudes on locally-measurable variables in the past light
cone--do you disagree?



> That does not mean that there is actually a physical transfer of particles
> or waves FTL, it simply means that the state is a unity, and changing one
> part changes the whole state. That is the nature of quantum non-locality --
> it does not have a local explanation, even a FTL explanation.
>

There are no non-mathematical "explanations" for anything whatsoever in
physics (obviously there can be explanations in words, but these are
understood as shorthand for arguments that could be formalized
mathematically). And in terms of mathematical physics, the "explanation"
for a local physical fact about what's happening in one point in spacetime
is just the mathematical function representing the "laws of physics" along
with whatever initial boundary conditions have to be fed into the function
to generate the prediction about that local physical fact. If the boundary
conditions are all confined to the past light cone, I would say there is
nothing FTL in this mathematical explanation--you may disagree, but so far
you have been unable to provide any alternate precisely-defined conditions
for distinguishing locality from non-locality, ones which we could still
obviously make sense of even if we didn't assume a unique real-valued
measurement setting and measurement outcome.

> And if you just want the amplitudes for locally-measurable quantities in a
> given region of spacetime, in quantum field theory my understanding is that
> you can determine this using only knowledge of amplitudes for
> locally-measurable quantities in the past light cone of that region (I
> don't understand the details, but this is supposed to have to do with the
> fact that the commutators for spacelike-separated points always vanish).
> Only if you assume there is an objective "collapse" of the wavefunction at
> the point of measurement does the quantum formalism become incompatible
> with locality in the light cone sense.
>
>
> That is not correct. You have not given a local account in MWI either.
>

What does "account" mean? A mathematical description, or a conceptual
explanation in the English language?


> Your "light cone sense" of locality would only add something to the
> traditional sense if the quantum state were not a complete description of
> the system. In other words, a hidden variable theory.
>


I have no idea why you think this, and you haven't made any argument for
it. Your traditional sense seems to be simply ill-defined if we assume a
superposition of different detecter settings in a single location in
spacetime, and a superposition of measurement results at another location,
whereas the "light-cone sense" is still well-defined here since it can
cover local variables of any kind, including a 

Re: Non-locality and MWI

2016-05-01 Thread Bruce Kellett

On 2/05/2016 1:31 pm, Jesse Mazer wrote:
On Sun, May 1, 2016 at 8:49 PM, Bruce Kellett 
> wrote:


On 2/05/2016 7:52 am, Jesse Mazer wrote:

On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett
>
wrote:

That is a semantic matter. There is a problem if one insists
that "non-local" means the propagation of a real physical
influence (particle of wave) faster-than-light. But
"non-locality" in standard quantum usage means the above --
the entangled state acts as a single physical unit even when
its components are widely separated.



I agree it's a semantic matter, but your description of the
"standard quantum usage" doesn't seem to be accurate. Among
physicists, the standard understanding of "local" and "non-local"
in the context of Bell's theorem and relativity is the one I
cited earlier--a theory is "local" if and only if the function
that gives you the value of local variables at any given point P
in spacetime (or gives the best possible probabilistic prediction
about their values, in the case of a non-deterministic theory)
only requires as input the values of local variables at other
points that lie within P's past light cone, whereas a "non-local"
theory would be one where the function requires knowledge of
variables at a spacelike separation from P to generate the best
possible prediction. As I mentioned, I think this is explained
most clearly in Bell's paper "La nouvelle cuisine" which you can
find in the collection "Speakable and Unspeakable in Quantum
Mechanics", and you can also find it discussed in other sources,
http://arxiv.org/abs/0707.0401 for example. As for "acts as a
single physical unit", that seems like a decidedly
non-mathematical definition which physicists would steer clear
of, unless you can provide a mathematical formalization or what
you mean, or cite a mainstream source that provides one.


I don't see any paper of the title you mention in my copy of
"Speakable and Unspeakable in Quantum Mechanics", could you give a
page number reference?



It's on p. 232 of the 2nd edition, chapter 24.


I have now looked at the paper by Norsen. It seems that the more 
detailed definiton of locality does little more than remove the notion 
of "superdeterminism" from the equation -- the idea that things in the 
common past of A and B could conspire to give rise to the correlations. 
Bell rules this out:


“An essential element in the reasoning here is that [aˆ] and [ˆb] are 
free variables. One canenvisage then theories in which there just are no 
free variables for the polarizer angles to be coupled to. In such 
‘superdeterministic’ theories the apparent free will of experimenters, 
and any other apparent randomness, would be illusory. Perhaps such a 
theory could be both locally causal and in agreement with quantum 
mechanical predictions. However I do not expect to see a serious theory 
of this kind. I would expect a serious theory to permit ‘deterministic 
chaos’ or ‘pseudorandomness’, for complicated subsystems (e.g. 
computers) which would provide variables sufficiently free for the 
purpose at hand. But I do not have a theorem about that.”7


Quoted from the "La nouvelle cuisine" paper.

Bell is quite clear in his opinion that orthodox QM is not a locally 
causal theory:


“The theory requires a perfect correlation of [results] on the two 
sides. So specification of the result on one side permits a 100% 
confident prediction of the previously totally uncertain result on the 
other side. Now in ordinary quantum mechanics there just is nothing but 
the wavefunction for calculating probabilities. There is then no 
question of making the result on one side redundant on the other by more 
fully specifying events in some space-time region 3. We have a violation 
of local causality.”7


I don't think there is any case for me to answer - my informal 
definition of locality is perfectly adequate for the current purposes.


Bruce

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Re: Non-locality and MWI

2016-05-01 Thread Bruce Kellett

On 2/05/2016 1:31 pm, Jesse Mazer wrote:
On Sun, May 1, 2016 at 8:49 PM, Bruce Kellett 
> wrote:


On 2/05/2016 7:52 am, Jesse Mazer wrote:

On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett
>
wrote:

That is a semantic matter. There is a problem if one insists
that "non-local" means the propagation of a real physical
influence (particle of wave) faster-than-light. But
"non-locality" in standard quantum usage means the above --
the entangled state acts as a single physical unit even when
its components are widely separated.



I agree it's a semantic matter, but your description of the
"standard quantum usage" doesn't seem to be accurate. Among
physicists, the standard understanding of "local" and "non-local"
in the context of Bell's theorem and relativity is the one I
cited earlier--a theory is "local" if and only if the function
that gives you the value of local variables at any given point P
in spacetime (or gives the best possible probabilistic prediction
about their values, in the case of a non-deterministic theory)
only requires as input the values of local variables at other
points that lie within P's past light cone, whereas a "non-local"
theory would be one where the function requires knowledge of
variables at a spacelike separation from P to generate the best
possible prediction. As I mentioned, I think this is explained
most clearly in Bell's paper "La nouvelle cuisine" which you can
find in the collection "Speakable and Unspeakable in Quantum
Mechanics", and you can also find it discussed in other sources,
http://arxiv.org/abs/0707.0401 for example. As for "acts as a
single physical unit", that seems like a decidedly
non-mathematical definition which physicists would steer clear
of, unless you can provide a mathematical formalization or what
you mean, or cite a mainstream source that provides one.


I don't see any paper of the title you mention in my copy of
"Speakable and Unspeakable in Quantum Mechanics", could you give a
page number reference?



It's on p. 232 of the 2nd edition, chapter 24.


I only have access to the first edition -- this must refer to a later 
paper of Bell's.



What I did find was chapter 8, "Locality in quantum mechanics:
reply to critics" (pp. 63-66).  In that chapter, Bell says:
"...now we add the hypothesis of l/ocality/, that the setting *b*
of a particular instrument has no effect on what happens, A, in a
remote region, and likewise that *a* has no effect on B. With
these /local/ forms, it is /not /possible to find functions A and
B and a probability distribution /rho/ which give the correlations
 = -*a.b*."

This is an informal statement of exactly the notion of locality or
non-locality that I have been using all along. Your more
convoluted statement may bear some relation to Bell's theory of
local beables (chapter 7 of his book), but the complications are
unnecessary -- the informal definition is the one most physicists
would use in practice.



I disagree, physicists generally only use informal definitions if it's 
obvious they could be formalized, or if they are *implied* by some 
more precise technical definition (the looser definition you mention 
above would be implied by the more precise one I mentioned, *if* one 
assumes there is a unique truth about the setting at b and the 
measurement A).


No, I disagree. The setting *b* has no effect on what happens at a 
remote location is sufficiently precise to encapsulate exactly what 
physicists mean by locality. In quantum field theory, this is 
generalized to the notion of local causality, which is the statement 
that the commutators of all spacelike separate variables vanish -- as 
you mention below. If quantum mechanics is complete, then the current 
quantum state contains all the information about the system that is 
either available or relevant. Sure, if you include hidden variables, 
then you are saying that QM as currently formulated is incomplete. That 
may be the case, but even so, the given definition of locality still 
holds -- it is about FTL propagation of information, nothing else.



My qualitative definition of non-locality is not non-standard --
it is the definition frequently used by Bell, and (almost)
everyone else. Your definition seems to want to take account of
some sort of hidden variables, such that the quantum state as
written does not contain all the information about that state.



There are no hidden variables in the MWI (though the definition of 
locality should be general enough to cover theories with hidden 
variables as well as ones with no hidden variables, since Bell's 
theorem is meant to rule out local realist theories 

Re: Non-locality and MWI

2016-05-01 Thread Jesse Mazer
On Sun, May 1, 2016 at 8:49 PM, Bruce Kellett 
wrote:

> On 2/05/2016 7:52 am, Jesse Mazer wrote:
>
> On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett 
> wrote:
>
>> That is a semantic matter. There is a problem if one insists that
>> "non-local" means the propagation of a real physical influence (particle of
>> wave) faster-than-light. But "non-locality" in standard quantum usage means
>> the above -- the entangled state acts as a single physical unit even when
>> its components are widely separated.
>
>
>
> I agree it's a semantic matter, but your description of the "standard
> quantum usage" doesn't seem to be accurate. Among physicists, the standard
> understanding of "local" and "non-local" in the context of Bell's theorem
> and relativity is the one I cited earlier--a theory is "local" if and only
> if the function that gives you the value of local variables at any given
> point P in spacetime (or gives the best possible probabilistic prediction
> about their values, in the case of a non-deterministic theory) only
> requires as input the values of local variables at other points that lie
> within P's past light cone, whereas a "non-local" theory would be one where
> the function requires knowledge of variables at a spacelike separation from
> P to generate the best possible prediction. As I mentioned, I think this is
> explained most clearly in Bell's paper "La nouvelle cuisine" which you can
> find in the collection "Speakable and Unspeakable in Quantum Mechanics",
> and you can also find it discussed in other sources,
> http://arxiv.org/abs/0707.0401 for example. As for "acts as a single
> physical unit", that seems like a decidedly non-mathematical definition
> which physicists would steer clear of, unless you can provide a
> mathematical formalization or what you mean, or cite a mainstream source
> that provides one.
>
>
> I don't see any paper of the title you mention in my copy of "Speakable
> and Unspeakable in Quantum Mechanics", could you give a page number
> reference?
>


It's on p. 232 of the 2nd edition, chapter 24.



> What I did find was chapter 8, "Locality in quantum mechanics: reply to
> critics" (pp. 63-66).  In that chapter, Bell says: "...now we add the
> hypothesis of l*ocality*, that the setting *b* of a particular instrument
> has no effect on what happens, A, in a remote region, and likewise that
> *a* has no effect on B. With these *local* forms, it is *not *possible
> to find functions A and B and a probability distribution *rho* which give
> the correlations  = -*a.b*."
>
> This is an informal statement of exactly the notion of locality or
> non-locality that I have been using all along. Your more convoluted
> statement may bear some relation to Bell's theory of local beables (chapter
> 7 of his book), but the complications are unnecessary -- the informal
> definition is the one most physicists would use in practice.
>


I disagree, physicists generally only use informal definitions if it's
obvious they could be formalized, or if they are *implied* by some more
precise technical definition (the looser definition you mention above would
be implied by the more precise one I mentioned, *if* one assumes there is a
unique truth about the setting at b and the measurement A).


> My qualitative definition of non-locality is not non-standard -- it is the
> definition frequently used by Bell, and (almost) everyone else. Your
> definition seems to want to take account of some sort of hidden variables,
> such that the quantum state as written does not contain all the information
> about that state.
>


There are no hidden variables in the MWI (though the definition of locality
should be general enough to cover theories with hidden variables as well as
ones with no hidden variables, since Bell's theorem is meant to rule out
local realist theories of either type). The "quantum state as written" does
not give any definite outcomes of measurements, only a set of amplitudes on
different eigenvectors associated with particular eigenvalues, which are
understood as possible measurement results. And if you just want the
amplitudes for locally-measurable quantities in a given region of
spacetime, in quantum field theory my understanding is that you can
determine this using only knowledge of amplitudes for locally-measurable
quantities in the past light cone of that region (I don't understand the
details, but this is supposed to have to do with the fact that the
commutators for spacelike-separated points always vanish). Only if you
assume there is an objective "collapse" of the wavefunction at the point of
measurement does the quantum formalism become incompatible with locality in
the light cone sense.

Jesse

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Re: Non-locality and MWI

2016-05-01 Thread Bruce Kellett

On 2/05/2016 7:52 am, Jesse Mazer wrote:
On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett 
> wrote:


That is a semantic matter. There is a problem if one insists that
"non-local" means the propagation of a real physical influence
(particle of wave) faster-than-light. But "non-locality" in
standard quantum usage means the above -- the entangled state acts
as a single physical unit even when its components are widely
separated.



I agree it's a semantic matter, but your description of the "standard 
quantum usage" doesn't seem to be accurate. Among physicists, the 
standard understanding of "local" and "non-local" in the context of 
Bell's theorem and relativity is the one I cited earlier--a theory is 
"local" if and only if the function that gives you the value of local 
variables at any given point P in spacetime (or gives the best 
possible probabilistic prediction about their values, in the case of a 
non-deterministic theory) only requires as input the values of local 
variables at other points that lie within P's past light cone, whereas 
a "non-local" theory would be one where the function requires 
knowledge of variables at a spacelike separation from P to generate 
the best possible prediction. As I mentioned, I think this is 
explained most clearly in Bell's paper "La nouvelle cuisine" which you 
can find in the collection "Speakable and Unspeakable in Quantum 
Mechanics", and you can also find it discussed in other sources, 
http://arxiv.org/abs/0707.0401 for example. As for "acts as a single 
physical unit", that seems like a decidedly non-mathematical 
definition which physicists would steer clear of, unless you can 
provide a mathematical formalization or what you mean, or cite a 
mainstream source that provides one.


I don't see any paper of the title you mention in my copy of "Speakable 
and Unspeakable in Quantum Mechanics", could you give a page number 
reference? What I did find was chapter 8, "Locality in quantum 
mechanics: reply to critics" (pp. 63-66).  In that chapter, Bell says: 
"...now we add the hypothesis of l/ocality/, that the setting *b* of a 
particular instrument has no effect on what happens, A, in a remote 
region, and likewise that *a* has no effect on B. With these /local/ 
forms, it is /not /possible to find functions A and B and a probability 
distribution /rho/ which give the correlations  = -*a.b*."


This is an informal statement of exactly the notion of locality or 
non-locality that I have been using all along. Your more convoluted 
statement may bear some relation to Bell's theory of local beables 
(chapter 7 of his book), but the complications are unnecessary -- the 
informal definition is the one most physicists would use in practice.


Bruno should be aware that in the discussion you and I had earlier, 
you used this sort of qualitative non-standard definition to argue 
even if the function giving values of physical variables at each point 
*does* depend solely on data from the past light cone, that is 
"irrelevant" to deciding whether the theory is "local" in your sense, 
presumably because you think there can be qualitative features of the 
function itself that can make it "non-local" for reasons unrelated to 
the question of what data the function takes as input.


My qualitative definition of non-locality is not non-standard -- it is 
the definition frequently used by Bell, and (almost) everyone else. Your 
definition seems to want to take account of some sort of hidden 
variables, such that the quantum state as written does not contain all 
the information about that state. Since the quantum state is taken to be 
a complete description, its past history over the whole of its light 
cone is truly irrelevant.


Bruce

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Re: Non-locality and MWI

2016-05-01 Thread Jesse Mazer
On Fri, Apr 29, 2016 at 8:32 PM, Bruce Kellett 
wrote:
>
> That is a semantic matter. There is a problem if one insists that
> "non-local" means the propagation of a real physical influence (particle of
> wave) faster-than-light. But "non-locality" in standard quantum usage means
> the above -- the entangled state acts as a single physical unit even when
> its components are widely separated.



I agree it's a semantic matter, but your description of the "standard
quantum usage" doesn't seem to be accurate. Among physicists, the standard
understanding of "local" and "non-local" in the context of Bell's theorem
and relativity is the one I cited earlier--a theory is "local" if and only
if the function that gives you the value of local variables at any given
point P in spacetime (or gives the best possible probabilistic prediction
about their values, in the case of a non-deterministic theory) only
requires as input the values of local variables at other points that lie
within P's past light cone, whereas a "non-local" theory would be one where
the function requires knowledge of variables at a spacelike separation from
P to generate the best possible prediction. As I mentioned, I think this is
explained most clearly in Bell's paper "La nouvelle cuisine" which you can
find in the collection "Speakable and Unspeakable in Quantum Mechanics",
and you can also find it discussed in other sources,
http://arxiv.org/abs/0707.0401 for example. As for "acts as a single
physical unit", that seems like a decidedly non-mathematical definition
which physicists would steer clear of, unless you can provide a
mathematical formalization or what you mean, or cite a mainstream source
that provides one.

Bruno should be aware that in the discussion you and I had earlier, you
used this sort of qualitative non-standard definition to argue even if the
function giving values of physical variables at each point *does* depend
solely on data from the past light cone, that is "irrelevant" to deciding
whether the theory is "local" in your sense, presumably because you think
there can be qualitative features of the function itself that can make it
"non-local" for reasons unrelated to the question of what data the function
takes as input.

Jesse

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Re: Non-locality and MWI

2016-04-30 Thread John Clark
On Wed, Apr 27, 2016 at 7:55 PM, Bruce Kellett 
wrote:

​> ​
> Baez's crackpot index is good fun, but it does have some amusing side
> effects:
> 37. 50 points for claiming you have a revolutionary theory but giving no
> concrete testable predictions.
> does seem to do considerable damage to current proponents of string
> theory: they have the highest possible score on the crackpot index!
>

​Many would say, and I agree, that string "theory" is a work in progress
and it's not a theory yet, it's a theory for a theory. Incidentally Richard
Feynman said string theory DID make a testable prediction and it failed the
test, it predicted space would have 10 dimensions not 3, so they had to
stick in a bunch of fudge factors about shrinking 7 dimensions and entangle
them in 10^500 different ways. Still, string theory did say there must be a
spin 2 particle that sounds very much like the graviton so maybe there
is hope.

 John K Clark

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Re: Non-locality and MWI

2016-04-29 Thread Bruce Kellett

On 29/04/2016 9:09 pm, Bruno Marchal wrote:

On 28 Apr 2016, at 03:33, Bruce Kellett wrote:
On 27/04/2016 4:57 pm, Bruno Marchal wrote:

On 27 Apr 2016, at 06:49, Bruce Kellett wrote:
On 27/04/2016 1:51 pm, Brent Meeker wrote:
That's pretty much the many-universes model that Bruno proposes. 
But it's non-local in the sense that the "matching scheme" must 
take account of which measurements are compatible, i.e. it "knows" 
the results even while they are  spacelike separated.
Exactly, the model assumes the results it is trying to get. It is 
not a local physical model because the statistics do not originate 
locally.


The statistic did originate locally. Alice and Bob did prepare the 
singlet state locally, and then travel away.


That is not strictly correct. The singlet state is conventionally 
prepared centrally between A and B so that the measurements can be 
made at spacelike separation. That would not be possible if A and B 
jointly prepare the state then move away.


The measurement? OK. Not the preparation.


They are in infinitely many worlds, and in each with opposite spin.


There are only two possible spin states for each -- so there are 
really only two distinct possible worlds. Multiplying copies of these 
two does not seem to accomplish much.


There is an infinity of possible states for each. There is an infinity 
of possible distinct possible worlds. In each one A's and B's particle 
spin are opposite/correlated, but neither Alice nor Bob can know which 
one.


I think you are getting confused by the basis problem again.


The cos^2(theta) is given by the math of the 1/sqrt(2)AB(I+>I-> - 
I->I+>)) = 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+>. With your 
explanation to Jesse, I keep the feeling that you talk like if Alice 
or Bob reduce the wave after their measurement, but they just 
localize themselves in the relative branches.


Certainly, the cos^2(theta/2) comes from applying the standard 
quantum rules to the singlet state
|psi> = (|+>|-> - |->|+>)/sqrt(2) (adding AB to this state adds 
nothing).


We need them to get all the statistics correct.

I think it would be instructive to actually go through the usual 
quantum derivation of the correlations because what you call 
"reducing the wave after the measurement" is actually the result of 
applying the standard quantum rules. It has nothing to do with 
so-called 'collapse' interpretations: it is simply in the theory.


Well, either the meaurement give specific outcome, or, if there is no 
physical collapse it is only an entanglement between A (or B) with the 
singlet state. That is why A and B are needed in the derivation.


A measurement results in an entanglement between the state and the 
observer. But in order for the observer to see only one result (and not 
a superposition) you need the projection postulate. That is decoherence, 
not a rejection of many worlds.


Quantum rules for measurement say that the initial state can be 
expanded in the basis corresponding to the particular measurement in 
question (contextuality). That is what the state |psi> above is -- 
the quantum expansion of the singlet state in the basis in which say 
Alice is doing her measurement.


OK, but that state does not represent two possible worlds. It looks 
like that for Alice because she has decided to make the measurement 
"in that base", but, as we know, the correlation does not depend on 
the choice of Alice's measurement. She will just entangled herself 
with the singlet state, whatever the base or measuring apparatus is.


Quantum rules then say that the result of the measurement (after 
decoherence has fully operated)


Decoherence is only the contagion of the superposition to the observer 
and/or his/her environment. It does not lead to a classical universe. 
That is only what the infinitely many Alice will phenomenologivally 
realize.


Decoherence is the basis for the (apparent) emergence of the classical 
from the quantum. Decoherence allows coarse-graining, partial tracing 
over environmental variables, and the other things that enable us to get 
definite experimental results.


is one of the eigenstates in the expansion, and the measurement 
result is the corresponding eigenvalue. In our case, there are two 
possibilities for Alice after her measurement is complete: result 
'+', with corresponding eigenstate |+>|->, or '-', with corresponding 
eigenstate |->|+>. There are no other possibilities, and Alice has a 
50% chance of obtaining either result, or of being in the 
corresponding branch of the evolved wave function.


That is correct phenomenologically. But QM-without collapse just say 
that we get a new Ipsi> equal to A(|+>|-> - |->|+>)/sqrt(2) = (A|+>|-> 
- A|->|+>)/sqrt(2). At no moment is Alice in front of only |+>|-> or 
|->|+>. The singlet state never disappear.


That is the basis of your confusion. What you are saying, in effect, is 
that the state is not reduced to the eigenvector corresponding to the 
obtained eigenvalue after 

Re: R: Re: R: Re: Non-locality and MWI

2016-04-29 Thread spudboy100 via Everything List
Here is a paper from the Journal of Cosmology, written by a comp sci professor 
at the University of Warwick, UK. I like it because of its logical flow, and, 
of course, no idea if its plausible, but it does correlate with MWI and the 
wave function, observers, and all that fun stuff of physics and 
computationalism. Anyone want to test drive this hypothesis and the logics? I 
like it, but don't know if this helps us? 



http://webcache.googleusercontent.com/search?q=cache:gSwPx43hKBsJ:journalofcosmology.com/JOC24/Forrest_Paper_2.pdf+=2=en=clnk=us


-Original Message-
From: Bruno Marchal <marc...@ulb.ac.be>
To: everything-list <everything-list@googlegroups.com>
Sent: Fri, Apr 29, 2016 8:19 am
Subject: Re: R: Re: R: Re: Non-locality and MWI




On 29 Apr 2016, at 09:41, 'scerir' via Everything List wrote:




 Da: spudboy100 via Everything List <everything-list@googlegroups.com>
 Data: 28/04/2016 21.46
 A: <everything-list@googlegroups.com>
 Ogg: Re: R: Re: Non-locality and MWI
 
 Is there any practical technical use for MWI as applied science. Just asking?
 

Dunno. Quantum computers?

Maybe there is a Many Interpretations Conjecture :-)


Interpretations of quantum mechanics, unlike Gods, are not jealous, and thus it 
is safe to
believe in more than one at the same time. 



Well, only because we tolerate non-sense in religion. I am not sure we can do 
that for a long time.









So if the many-worlds interpretation makes it
easier to think about the research you're doing in April, and the Copenhagen
interpretation makes it easier to think about the research you're doing in 
June, the
Copenhagen interpretation is not going to smite you for praying to the 
many-worlds
interpretation. At least I hope it won't, because otherwise I'm in big trouble.
---Peter Shor



Same with religion. We need only to have, relatively to the facts, consistent 
views, with ourselves, and eventually with each others.










I believe in every interpretation of quantum mechanics to the extent it points 
out
the problem, and disbelieve in every interpretation to the extent it claims to 
have solved it.

Good! I believe the same for the religions.


Bruno









--Scott Aaronson





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Re: R: Re: Non-locality and MWI

2016-04-29 Thread spudboy100 via Everything List
Ok, thanks. Yes, I read Deutsches interp some years back. I also like his 
later, Constructor theory, but this is sort of off topic. 



-Original Message-
From: Bruno Marchal <marc...@ulb.ac.be>
To: everything-list <everything-list@googlegroups.com>
Sent: Fri, Apr 29, 2016 8:09 am
Subject: Re: R: Re: Non-locality and MWI




On 29 Apr 2016, at 04:16, Stathis Papaioannou wrote:






On 29 April 2016 at 07:27, spudboy100 via Everything List 
<everything-list@googlegroups.com> wrote:

Hah! Well somebody will get rich of we take the Everett stuff as fact. Not 
likely myself for all this. 

 
 
Sincerely,
 
Your humble clone



Kill off the poor ones and then you're sure to be the rich one.




That seems to me like cutting of the right part of a wooden rule to get only a 
left part.


Spudboy, MWI is only an attempt to make sense of QM. Its practical application 
is the same as QM. Now David Deustch would mention Quantum computer, that he 
discovered thanks to the MWI. 


MWI = taken the reality of the superposed states seriously, as already the two 
slits experiment with one photon illustrates that we should do.


For me, but also for Deutsch and for Everett MWI = QM-without collapse. 
Everett's published paper, even its long text, does not mention "many world" 
but only a new theory: the old one minus the physical collapse of the wave.


Bruno










 
-- 

Stathis Papaioannou
 



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Re: R: Re: R: Re: Non-locality and MWI

2016-04-29 Thread Bruno Marchal


On 29 Apr 2016, at 09:41, 'scerir' via Everything List wrote:



Da: spudboy100 via Everything List <everything-list@googlegroups.com>
Data: 28/04/2016 21.46
A: <everything-list@googlegroups.com>
Ogg: Re: R: Re: Non-locality and MWI

Is there any practical technical use for MWI as applied science.  
Just asking?



Dunno. Quantum computers?

Maybe there is a Many Interpretations Conjecture :-)

Interpretations of quantum mechanics, unlike Gods, are not jealous,  
and thus it is safe to


believe in more than one at the same time.



Well, only because we tolerate non-sense in religion. I am not sure we  
can do that for a long time.






So if the many-worlds interpretation makes it

easier to think about the research you're doing in April, and the  
Copenhagen


interpretation makes it easier to think about the research you're  
doing in June, the


Copenhagen interpretation is not going to smite you for praying to  
the many-worlds


interpretation. At least I hope it won't, because otherwise I'm in  
big trouble.


---Peter Shor



Same with religion. We need only to have, relatively to the facts,  
consistent views, with ourselves, and eventually with each others.






I believe in every interpretation of quantum mechanics to the extent  
it points out


the problem, and disbelieve in every interpretation to the extent it  
claims to have solved it.



Good! I believe the same for the religions.

Bruno





--Scott Aaronson




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http://iridia.ulb.ac.be/~marchal/



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Re: R: Re: Non-locality and MWI

2016-04-29 Thread Bruno Marchal


On 29 Apr 2016, at 04:16, Stathis Papaioannou wrote:




On 29 April 2016 at 07:27, spudboy100 via Everything List  wrote:
Hah! Well somebody will get rich of we take the Everett stuff as  
fact. Not likely myself for all this.


Sincerely,
Your humble clone

Kill off the poor ones and then you're sure to be the rich one.


That seems to me like cutting of the right part of a wooden rule to  
get only a left part.


Spudboy, MWI is only an attempt to make sense of QM. Its practical  
application is the same as QM. Now David Deustch would mention Quantum  
computer, that he discovered thanks to the MWI.


MWI = taken the reality of the superposed states seriously, as already  
the two slits experiment with one photon illustrates that we should do.


For me, but also for Deutsch and for Everett MWI = QM-without  
collapse. Everett's published paper, even its long text, does not  
mention "many world" but only a new theory: the old one minus the  
physical collapse of the wave.


Bruno






--
Stathis Papaioannou

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http://iridia.ulb.ac.be/~marchal/



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Re: R: Re: Non-locality and MWI

2016-04-29 Thread spudboy100 via Everything List

Ah! Now you speak of the policies of the Ruling Class, which need no physics, 
or many worlds, just self centered behavior. Also, chances are via Hugh 
Everett, because I am not already rich, I am one of the others, as being a rich 
clone is not my wave function. 


-Original Message-
From: Stathis Papaioannou <stath...@gmail.com>
To: everything-list <everything-list@googlegroups.com>
Sent: Thu, Apr 28, 2016 10:17 pm
Subject: Re: R: Re: Non-locality and MWI







On 29 April 2016 at 07:27, spudboy100 via Everything List 
<everything-list@googlegroups.com> wrote:

Hah! Well somebody will get rich of we take the Everett stuff as fact. Not 
likely myself for all this.


Sincerely,
Your humble clone



Kill off the poor ones and then you're sure to be the rich one.


 
-- 

Stathis Papaioannou


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Re: Non-locality and MWI

2016-04-29 Thread Bruno Marchal


On 28 Apr 2016, at 03:33, Bruce Kellett wrote:


On 27/04/2016 4:57 pm, Bruno Marchal wrote:

On 27 Apr 2016, at 06:49, Bruce Kellett wrote:
On 27/04/2016 1:51 pm, Brent Meeker wrote:
That's pretty much the many-universes model that Bruno proposes.  
But it's non-local in the sense that the "matching scheme" must  
take account of which measurements are compatible, i.e. it  
"knows" the results even while they are  spacelike separated.
Exactly, the model assumes the results it is trying to get. It is  
not a local physical model because the statistics do not originate  
locally.


The statistic did originate locally. Alice and Bob did prepare the  
singlet state locally, and then travel away.


That is not strictly correct. The singlet state is conventionally  
prepared centrally between A and B so that the measurements can be  
made at spacelike separation. That would not be possible if A and B  
jointly prepare the state then move away.


The measurement? OK. Not the preparation.





They are in infinitely many worlds, and in each with opposite spin.


There are only two possible spin states for each -- so there are  
really only two distinct possible worlds. Multiplying copies of  
these two does not seem to accomplish much.



There is an infinity of possible states for each. There is an infinity  
of possible distinct possible worlds. In each one A's and B's particle  
spin are opposite/correlated, but neither Alice nor Bob can know which  
one.







The cos^2(theta) is given by the math of the 1/sqrt(2)AB(I+>I-> - I- 
>I+>)) = 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+>. With your  
explanation to Jesse, I keep the feeling that you talk like if  
Alice or Bob reduce the wave after their measurement, but they just  
localize themselves in the relative branches.


Certainly, the cos^2(theta/2) comes from applying the standard  
quantum rules to the singlet state
|psi> = (|+>|-> - |->|+>)/sqrt(2) (adding AB to this state adds  
nothing).


We need them to get all the statistics correct.


I think it would be instructive to actually go through the usual  
quantum derivation of the correlations because what you call  
"reducing the wave after the measurement" is actually the result of  
applying the standard quantum rules. It has nothing to do with so- 
called 'collapse' interpretations: it is simply in the theory.


Well, either the meaurement give specific outcome, or, if there is no  
physical collapse it is only an entanglement between A (or B) with the  
singlet state. That is why A and B are needed in the derivation.







Quantum rules for measurement say that the initial state can be  
expanded in the basis corresponding to the particular measurement in  
question (contextuality). That is what the state |psi> above is --  
the quantum expansion of the singlet state in the basis in which say  
Alice is doing her measurement.


OK, but that state does not represent two possible worlds. It looks  
like that for Alice because she has decided to make the measurement  
"in that base", but, as we know, the correlation does not depend on  
the choice of Alice's measurement. She will just entangled herself  
with the singlet state, whatever the base or measuring apparatus is.




Quantum rules then say that the result of the measurement (after  
decoherence has fully operated)


Decoherence is only the contagion of the superposition to the observer  
and/or his/her environment. It does not lead to a classical universe.  
That is only what the infinitely many Alice will phenomenologivally  
realize.




is one of the eigenstates in the expansion, and the measurement  
result is the corresponding eigenvalue. In our case, there are two  
possibilities for Alice after her measurement is complete: result  
'+', with corresponding eigenstate |+>|->, or '-', with  
corresponding eigenstate |->|+>. There are no other possibilities,  
and Alice has a 50% chance of obtaining either result, or of being  
in the corresponding branch of the evolved wave function.


That is correct phenomenologically. But QM-without collapse just say  
that we get a new Ipsi> equal to A(|+>|-> - |->|+>)/sqrt(2) = (A|+>|->  
- A|->|+>)/sqrt(2). At no moment is Alice in front of only |+>|-> or   
|->|+>. The singlet state never disappear.






The question now arises as to how the formalism describes Bob's  
measurement, assuming that it follows that of Alice (there will  
always be a Lorentz frame in which that is true for spacelike  
separations. For timelike separations, it is either true, or we  
reverse the A/B labels so that it is true.) Since the description of  
the state does not depend on the separation between A and B, after A  
gets '+' and her eigenstate is |+>|->, Bob must measure the state |- 
> in the direction of his magnet. To get the relative probabilities  
for his results, we must rotate the eigenfunction from Alice's basis  
to the basis appropriate for Bob's measurement. This is the standard  
rotation of a 

R: Re: R: Re: Non-locality and MWI

2016-04-29 Thread 'scerir' via Everything List


Da: spudboy100 via Everything List <everything-list@googlegroups.com>

Data: 28/04/2016 21.46

A: <everything-list@googlegroups.com>

Ogg: Re: R: Re: Non-locality and MWI



Is there any practical technical use for MWI as applied science. Just asking?



Dunno. Quantum computers?

Maybe there is a Many Interpretations Conjecture :-)

Interpretations
of quantum mechanics, unlike Gods, are not jealous, and thus it is safe to

believe
in more than one at the same time. So if the many-worlds interpretation makes
it

easier
to think about the research you're doing in April, and the Copenhagen

interpretation
makes it easier to think about the research you're doing in June, the

Copenhagen
interpretation is not going to smite you for praying to the many-worlds

interpretation.
At least I hope it won't, because otherwise I'm in big trouble.

---Peter
Shor
I believe in every interpretation of quantum mechanics to the extent it points 
outthe problem, and disbelieve in every interpretation to the extent it claims 
to have solved it.--Scott Aaronson

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Re: R: Re: Non-locality and MWI

2016-04-28 Thread Stathis Papaioannou
On 29 April 2016 at 07:27, spudboy100 via Everything List <
everything-list@googlegroups.com> wrote:

> Hah! Well somebody will get rich of we take the Everett stuff as fact. Not
> likely myself for all this.
>
> Sincerely,
> Your humble clone
>

Kill off the poor ones and then you're sure to be the rich one.


-- 
Stathis Papaioannou

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Re: R: Re: Non-locality and MWI

2016-04-28 Thread spudboy100 via Everything List
Hah! Well somebody will get rich of we take the Everett stuff as fact. Not 
likely myself for all this.


Sincerely,
Your humble clone



-Original Message-
From: Brent Meeker <meeke...@verizon.net>
To: everything-list <everything-list@googlegroups.com>
Sent: Thu, Apr 28, 2016 5:17 pm
Subject: Re: R: Re: Non-locality and MWI


You can try quantum suicide to get rich (c.f. "Schrondinger'sRabbits" 
by  Colin Bruce).

Brent


On 4/28/2016 12:46 PM, spudboy100 via  Everything List wrote:


Is there anypractical technical use for MWI as applied science. Just 
asking?



-Original  Message-
  From: 'scerir' via Everything List  
<everything-list@googlegroups.com>
  To: everything-list <everything-list@googlegroups.com>
  Sent: Thu, Apr 28, 2016 3:24 pm
  Subject: R: Re: Non-locality and MWI
  
  BTW. 
  
  Frank Wilczek: 'Entanglement Made Simple'
  
  Quantum entanglement is thought to be one of the trickiest  
concepts 
  in science, but the core issues are simple. And once  
understood, 
  entanglement opens up a richer understanding of concepts 
  such as the “many worlds” of quantum theory.
  
  https://www.quantamagazine.org/20160428-entanglement-made-simple/
  
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Re: R: Re: Non-locality and MWI

2016-04-28 Thread Brent Meeker
You can try quantum suicide to get rich (c.f. "Schrondinger's Rabbits" 
by  Colin Bruce).


Brent

On 4/28/2016 12:46 PM, spudboy100 via Everything List wrote:
Is there any practical technical use for MWI as applied science. Just 
asking?



-Original Message-
From: 'scerir' via Everything List <everything-list@googlegroups.com>
To: everything-list <everything-list@googlegroups.com>
Sent: Thu, Apr 28, 2016 3:24 pm
Subject: R: Re: Non-locality and MWI

BTW.

Frank Wilczek: 'Entanglement Made Simple'

Quantum entanglement is thought to be one of the trickiest concepts
in science, but the core issues are simple. And once understood,
entanglement opens up a richer understanding of concepts
such as the “many worlds” of quantum theory.

https://www.quantamagazine.org/20160428-entanglement-made-simple/

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Re: R: Re: Non-locality and MWI

2016-04-28 Thread spudboy100 via Everything List
Is there any practical technical use for MWI as applied science. Just asking?



-Original Message-
From: 'scerir' via Everything List <everything-list@googlegroups.com>
To: everything-list <everything-list@googlegroups.com>
Sent: Thu, Apr 28, 2016 3:24 pm
Subject: R: Re: Non-locality and MWI

BTW. 

Frank Wilczek: 'Entanglement Made Simple'

Quantum entanglement is thought to be one of the trickiest concepts 
in science, but the core issues are simple. And once understood, 
entanglement opens up a richer understanding of concepts 
such as the “many worlds” of quantum theory.

https://www.quantamagazine.org/20160428-entanglement-made-simple/

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R: Re: Non-locality and MWI

2016-04-28 Thread 'scerir' via Everything List
BTW. 

Frank Wilczek: 'Entanglement Made Simple'

Quantum entanglement is thought to be one of the trickiest concepts 
in science, but the core issues are simple. And once understood, 
entanglement opens up a richer understanding of concepts 
such as the “many worlds” of quantum theory.

https://www.quantamagazine.org/20160428-entanglement-made-simple/

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Re: Non-locality and MWI

2016-04-27 Thread Bruce Kellett

On 27/04/2016 4:57 pm, Bruno Marchal wrote:

On 27 Apr 2016, at 06:49, Bruce Kellett wrote:
On 27/04/2016 1:51 pm, Brent Meeker wrote:
That's pretty much the many-universes model that Bruno proposes. But 
it's non-local in the sense that the "matching scheme" must take 
account of which measurements are compatible, i.e. it "knows" the 
results even while they are  spacelike separated.
Exactly, the model assumes the results it is trying to get. It is not 
a local physical model because the statistics do not originate locally.


The statistic did originate locally. Alice and Bob did prepare the 
singlet state locally, and then travel away.


That is not strictly correct. The singlet state is conventionally 
prepared centrally between A and B so that the measurements can be made 
at spacelike separation. That would not be possible if A and B jointly 
prepare the state then move away.



They are in infinitely many worlds, and in each with opposite spin.


There are only two possible spin states for each -- so there are really 
only two distinct possible worlds. Multiplying copies of these two does 
not seem to accomplish much.


The cos^2(theta) is given by the math of the 1/sqrt(2)AB(I+>I-> - 
I->I+>)) = 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+>. With your 
explanation to Jesse, I keep the feeling that you talk like if Alice 
or Bob reduce the wave after their measurement, but they just localize 
themselves in the relative branches.


Certainly, the cos^2(theta/2) comes from applying the standard quantum 
rules to the singlet state
|psi> = (|+>|-> - |->|+>)/sqrt(2) (adding AB to this state adds 
nothing). I think it would be instructive to actually go through the 
usual quantum derivation of the correlations because what you call 
"reducing the wave after the measurement" is actually the result of 
applying the standard quantum rules. It has nothing to do with so-called 
'collapse' interpretations: it is simply in the theory.


Quantum rules for measurement say that the initial state can be expanded 
in the basis corresponding to the particular measurement in question 
(contextuality). That is what the state |psi> above is -- the quantum 
expansion of the singlet state in the basis in which say Alice is doing 
her measurement. Quantum rules then say that the result of the 
measurement (after decoherence has fully operated) is one of the 
eigenstates in the expansion, and the measurement result is the 
corresponding eigenvalue. In our case, there are two possibilities for 
Alice after her measurement is complete: result '+', with corresponding 
eigenstate |+>|->, or '-', with corresponding eigenstate |->|+>. There 
are no other possibilities, and Alice has a 50% chance of obtaining 
either result, or of being in the corresponding branch of the evolved 
wave function.


The question now arises as to how the formalism describes Bob's 
measurement, assuming that it follows that of Alice (there will always 
be a Lorentz frame in which that is true for spacelike separations. For 
timelike separations, it is either true, or we reverse the A/B labels so 
that it is true.) Since the description of the state does not depend on 
the separation between A and B, after A gets '+' and her eigenstate is 
|+>|->, Bob must measure the state |-> in the direction of his magnet. 
To get the relative probabilities for his results, we must rotate the 
eigenfunction from Alice's basis to the basis appropriate for Bob's 
measurement. This is the standard rotation of a spinor, given by


 |-> = sin(theta/2)|+'> -i cos(theta/2)|-'>

Applying the standard quantum rules to this state, Bob has a probability 
of sin^2(theta/2) of obtaining a '+' result, and a probability of 
cos^2(theta/2) of obtaining a '-' result.


Using test values for the relative orientation, theta, we get the usual 
results. For theta = 0º, Bob has probability 0 of obtaining '+', and 
probability 1 of obtaining '-'. For 90º orientation, the probabilities 
for '+' and '-' are both 0.5. For a relative orientation of 120º, Bob's 
probability of getting '+' is 0.75 and the probability of getting '-' is 
0.25. And so on for the familiar results.


This is not controversial, and the result depends only on the standard 
rules of quantum mechanics. The problem of interpretation, of course, is 
that since Alice and Bob are at different locations, and the state they 
are measuring is independent of separation, there is an intrinsic 
non-locality implied by the standard calculation. If you take out the 
quantum rule that the result of a measurement is, after decoherence, 
reduction to an eigenstate with the corresponding eigenvalue, you take 
away an essential ingredient of the quantum derivation, and leave Bob's 
measurement as being completely independent of that of Alice, so the 
only possible results for Bob are '+' and '-' with equal probability, 
whatever the orientation of his magnet.


Any account that deviates from this is no longer a standard quantum 
account 

Re: Non-locality and MWI

2016-04-27 Thread Bruce Kellett

On 27/04/2016 5:24 pm, Jesse Mazer wrote:


(Read a bunch of physicists getting philosophical about what their
field is all about, and you'll find it's a very widely-held
sentiment that physics is generally not be concerned with
non-mathematical explanations for physical laws--the semi-famous
'crackpot index' at http://math.ucr.edu/home/baez/crackpot.html ,
concocted by physicist John Baez, even awards crackpot points to
anyone who complains that even if a theory 'predicts phenomena
correctly, it doesn't explain "why" they occur, or fails to
provide a "mechanism".')




Baez's crackpot index is good fun, but it does have some amusing side 
effects:


37. 50 points for claiming you have a revolutionary theory but giving no 
concrete testable predictions.


does seem to do considerable damage to current proponents of string 
theory: they have the highest possible score on the crackpot index!


Bruce

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Re: Non-locality and MWI

2016-04-27 Thread Jesse Mazer
On Wed, Apr 27, 2016 at 2:35 AM, Bruce Kellett 
wrote:

> On 27/04/2016 4:13 pm, Jesse Mazer wrote:
>
> On Wed, Apr 27, 2016 at 1:40 AM, Bruce Kellett 
> wrote:
>
>> On 27/04/2016 3:22 pm, Jesse Mazer wrote:
>>
>> On Wed, Apr 27, 2016 at 12:47 AM, Bruce Kellett <
>> bhkell...@optusnet.com.au> wrote:
>>
>>> Your simulation assumes the quantum mechanical results. In other words,
>>> it assumes non-locality in order to calculate the statistics. Where does
>>> the cos^2(theta/2) come from in your analysis?
>>>
>>
>> The question I asked you was whether you thought you could definitively
>> disprove the idea that all the observable statistics of QM could be
>> reproduced by rules that are "local" in the specific narrow sense I had
>> described to you--remember all that stuff about having computers
>> determining what the value of local variables at each point in spacetime
>> should be, using only information about the value of local variables in the
>> past light cone of that point, plus the general rules programmed into them
>> (which take that information about the past light cone as input, and spit
>> out the value of local variables at that point as output)? This is a narrow
>> and mathematically well-defined question (and is based specifically on how
>> Bell defined 'locality'), it's completely irrelevant to the question
>> whether or not the *idea* for the rules that I programmed into the
>> computers that perform these local calculations came from looking at some
>> equations that are written in a 'non-local' way (i.e., the equations
>> generate their predictions by evolving a single 'state vector' for the
>> entire spatially-distributed system). Do you understand this distinction
>> between the narrow, well-defined definition of "local rules" (if you're
>> unclear on what I mean here, please ask), and broader questions about what
>> inspired the rules themselves? And are you claiming that even if we
>> restrict our attention to the narrow definition of "local rules", you can
>> still say with 100% certainty that no such "local rules" can accurately
>> reproduce all the predictions about measurement outcomes made by QM?
>>
>>
>> Your question, as outlined above, is completely devoid of interest to me
>> as a physicist. I am interested in physical models that give an insight
>> into how things come about.
>>
>> And yes, I am 100% certain that local rules, with local models for
>> deciding what statistics should be reproduced to mimic quantum results on
>> entangled systems, are impossible.
>>
>
> And are you 100% certain of that last statement even if we define "local
> rules" in the specific narrow sense I have described? Your comment that my
> question concerning this narrow definition of locality is 'devoid of
> interest' to you makes it unclear whether you were actually willing to
> stick to the narrow definition in addressing my question, as I had
> requested.
>
>
> It is of no interest. You, and Rubin, advertised your work as a local
> explanation of the EPR statistics. On detailed examination and pressing,
> you admit that this is not the case
>

No, we use a definition of "locality" where it *is* the case, a
mathematical definition that seems to correspond to how pretty much all
mainstream physicists use the term "locality". You seem to say that even if
a function takes as input only variables from the past light cone of a
region to generate predictions about the values of variables within that
region, it can be non-local because of something to do with where the idea
for the function itself came from, a fuzzy notion that doesn't seem like
it's likely to have any clear mathematical definition (if you think it can,
please provide a general set of mathematical criteria for deciding whether
some arbitrary mathematical function for generating predictions from
boundary conditions is 'local', such that even a function that only uses
variables in the past light cone as input may still fail to qualify as
local).

And since you answer my direct request to address my question with "it is
of no interest", should I presume you are just refusing to answer the
question I asked? Generally when people refuse to answer straightforward
questions I take that as a sign they are not really interested in making a
good-faith effort at mutual understanding, on figuring out what points we
can (grudgingly) agree on as well as where we disagree (as opposed to just
making a rhetorical case for a preferred view, or against a disliked view).
So if you are indeed refusing outright to address this--even though this
point about the possibility of a 'local' version of QM in this specific
narrow sense is the central point *I* have been trying to argue this whole
time--then I think I will bow out of our discussion here.


>
> Richard Feynman was frequently a bit "over the top" in his popular
> accounts of physics. He is unkind to Newton, since the 

Re: Non-locality and MWI

2016-04-27 Thread Bruno Marchal


On 27 Apr 2016, at 08:35, Bruce Kellett wrote:


On 27/04/2016 4:13 pm, Jesse Mazer wrote:
On Wed, Apr 27, 2016 at 1:40 AM, Bruce Kellett  wrote:

On 27/04/2016 3:22 pm, Jesse Mazer wrote:
On Wed, Apr 27, 2016 at 12:47 AM, Bruce Kellett  wrote:
Your simulation assumes the quantum mechanical results. In other  
words, it assumes non-locality in order to calculate the  
statistics. Where does the cos^2(theta/2) come from in your  
analysis?


The question I asked you was whether you thought you could  
definitively disprove the idea that all the observable statistics  
of QM could be reproduced by rules that are "local" in the  
specific narrow sense I had described to you--remember all that  
stuff about having computers determining what the value of local  
variables at each point in spacetime should be, using only  
information about the value of local variables in the past light  
cone of that point, plus the general rules programmed into them  
(which take that information about the past light cone as input,  
and spit out the value of local variables at that point as  
output)? This is a narrow and mathematically well-defined question  
(and is based specifically on how Bell defined 'locality'), it's  
completely irrelevant to the question whether or not the *idea*  
for the rules that I programmed into the computers that perform  
these local calculations came from looking at some equations that  
are written in a 'non-local' way (i.e., the equations generate  
their predictions by evolving a single 'state vector' for the  
entire spatially-distributed system). Do you understand this  
distinction between the narrow, well-defined definition of "local  
rules" (if you're unclear on what I mean here, please ask), and  
broader questions about what inspired the rules themselves? And  
are you claiming that even if we restrict our attention to the  
narrow definition of "local rules", you can still say with 100%  
certainty that no such "local rules" can accurately reproduce all  
the predictions about measurement outcomes made by QM?


Your question, as outlined above, is completely devoid of interest  
to me as a physicist. I am interested in physical models that give  
an insight into how things come about.


And yes, I am 100% certain that local rules, with local models for  
deciding what statistics should be reproduced to mimic quantum  
results on entangled systems, are impossible.


And are you 100% certain of that last statement even if we define  
"local rules" in the specific narrow sense I have described? Your  
comment that my question concerning this narrow definition of  
locality is 'devoid of interest' to you makes it unclear whether  
you were actually willing to stick to the narrow definition in  
addressing my question, as I had requested.


It is of no interest. You, and Rubin, advertised your work as a  
local explanation of the EPR statistics. On detailed examination and  
pressing, you admit that this is not the case: you simply take the  
quantum results and build some Rubin Goldberg machine that will  
reproduce those statistics. So what? My urn model is simpler and  
does the same thing.


The thing that bothers me is that I have spent so much time arguing  
this when, in the final analysis, you do not have a local account of  
the EPR results. All your machinery is of no use, since any account  
of EPR must fit in with the rest of quantum mechanics -- it is not  
something you can simply abstract away and treat in isolation. The  
cos^2(theta/2) comes from applying the strict rules of quantum  
mechanics to this entangled state -- it is not an arbitrary formula  
dreamed up simply to account for some observed statistics. The fact  
that experiment followed this distribution was a profound surprise  
to many -- that is why locality and non-locality are such  
contentious issues.


The cos^2(theta/2) works also for 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+>




Richard Feynman was frequently a bit "over the top" in his popular  
accounts of physics. He is unkind to Newton, since the 1/r^2 form of  
the law of gravitation follows simply from spherical symmetry and  
conservation of flux. Coulomb's law can be derived in much the same  
way. The mathematical basis is Gauss's law.


So generate whatever models you like, but it is disingenuous to  
claim that you are giving a local explanation for the EPR  
correlations.


It is not local, because the end situation is not local, but the  
infinitely many Alice and Bob do recover the right statistics in each  
of their branches, just by the correlation made locally when they  
prepare their state. Action at a distance is not needed, *because* the  
state 1/sqrt(2)ABI+>I-> - 1/sqrt(2)ABI->I+> describes an infinity of  
relative states. Bell concludes to action at a distance because he  
discards the superposition after the measurement.


Bruno





Bruce





To try to restate this 

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