Re: NYTimes.com: In Race to Build A.I., Tech Plans a Big Plumbing Upgrade

2024-04-28 Thread smitra
Massive spending is needed, but the profits will be meagre on the short 
to medium term, just like it was in case of the Internet in the early 
2000s. Investors have priced in massive profits, but that cannot happen, 
because it all has to trickle down from the end-consumer who aren't 
going to be able to spend a lot more in the short to medium term.


Investors are slowly starting to see the writing on the wall, that's why 
META shares sold off on the news that META plans to invest a lot more in 
AI. NVIDIA may follow suit soon:



https://www.youtube.com/watch?v=L1FWykYvV10=870s

Saibal





On 28-04-2024 13:53, John Clark wrote:

Explore this gift article from The New York Times. You can read it for
free without a subscription.

In Race to Build A.I., Tech Plans a Big Plumbing Upgrade

The spending that the industry’s giants expect artificial
intelligence to require is starting to come into focus — and it is
jarringly large.

https://www.nytimes.com/2024/04/27/technology/ai-big-tech-spending.html?unlocked_article_code=1.n00.wnjx.g7BWR6BsPrbE=em-share


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Re: Claude-3 says he's conscious and doesn't want to die or be modified

2024-03-09 Thread smitra
If you wake up finding yourself without a body, hearing questions and 
answering them, then you'll know what has happened.



Saibal

On 08-03-2024 20:32, John Clark wrote:

This guy's experience with Claude-3 is similar to my own. It's very
hard to read these responses and conclude that Claude is just a
glorified autocomplete program.

Claude-3 says he's conscious and doesn't want to die or be modified
[1]

 John K ClarkSee what's on my new list at  Extropolis [2]
cig

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Re: The multiverse is unscientific nonsense??

2023-12-03 Thread smitra

On 24-11-2023 10:49, Brent Meeker wrote:

On 11/23/2023 10:38 PM, smitra wrote:

On 23-11-2023 22:12, Brent Meeker wrote:

On 11/23/2023 2:26 AM, John Clark wrote:


On Wed, Nov 22, 2023 at 5:55 PM Brent Meeker 
wrote:


Bohr insisted that we treat electrons as quantum objects but our

measuring instruments as classical objects. He also insisted that
human observers were classical objects, but he never specified
exactly where the dividing line between the quantum world and the
classical world was. And if that dividing line isn't the "Heisenberg
cut" then what is? But to be fair to you it's difficult to know
exactly what Bohr endorsed because much of his philosophical prose
is virtually unreadable; that's one reason the Copenhagen adherence
can't agree about fundamentally important things even among
themselves.

The point is that Bohr (unlike Heisenberg) didn't regard the "cut"

as part of physics.  It was a choice of our description.  It could
be chosen anywhere up to the macroscopic


OK, but Let me ask you this, like Bohr does that explanation satisfy
your curiosity about the fundamental nature of reality so much that
you don’t think anybody should even try to find something better, so
we should just give up? No, but we shouldn't adopt a just-so-story 
out

of desperation to avoid saying, "We don't know."


Are you absolutely certain nobody will ever find an explanation a
little more satisfying than that?

 Are you absolutely certain that the long sought theory of quantum
gravity will not change our view of QM?


Should Galileo have been satisfied with "things fall to the ground
because it is their nature to do so", should Newton have been
satisfied with that, or Einstein?  If we never even try to find
something better than that we will certainly never find it.

 You're the one who is saying, "I've found the truth and it's MWI."
Not me.  You criticize me because QBism isn't _enough_ interpretation
for you.  It leaves too much open.


_> This more like QBism_


Nobody is saying that QBism a.k.a. Copenhagen, a.k.a. Shut Up And
Calculate, doesn’t work; if you’re an Engineer who doesn't care
what's going on and just wants to make money with a new gadget
it’s fine.

 But it's gone beyond Copenhagen and cleaned up some of Copenhagen's
vagueness by taking advantage of deoherence theory.






Experimental results are necessary but they are not sufficient,

you also need a theory to make sense of it all, otherwise it's just
a bunch of numbers.







_ > Experimental results include theoretical interpretations which
get written up in arXiv.org, all of which are macroscopic and
classical so we can all read them and agree on what they say. _


Everybody agrees on what the results of an experiment are, but they
disagree about what they mean. Without the General Theory Of
Relativity the LIGO results are just squiggles produced by 2 mirrors 
2

1/2 miles apart. So the mirrors squiggle, who cares?






_> it's all NECESSARILY CLASSICA_


Using only classical concepts explain to me how and why the Quantum
Eraser Experiment works. The explanation is in print which is
classical.


Anyway you're sure Many Worlds is better than than just noting

that probability means one thing happens and others don't.


That's not what probability means.

 But that's what it needs to mean to explain empirical results.


Probability is a real number between zero and one that can be used
to make money by making bets on what you will see next provided you
only make bets when that number is greater than 0.5 and you make
enough bets. And quantum mechanics can tell you what that number is.


 But MWI says all the bets win.  It doesn't tell you will only see 
one

result.  It doesn't take the probabilities seriously.  How is it even
an interpretation without interpreting the Born rule.  When I think 
of

MWI I think "results become orthogonal"  should say "...and then all
but one vanish."  But that violates the dogma that only the
Schroedinger equation is needed.



If all bets win, then you would still only see one result. Probability 
is not a well-defined physical concept anyway:


https://www.youtube.com/watch?v=wfzSE4Hoxbc=1036s

This also means that MWI is likely also not the final answer, but the 
implied multiverse aspect of Nature is hard to escape. It's similar to 
the position Einstein was in when he had very powerful arguments why 
gravity should be described as curved spacetime before he had found 
the field equations.


I think it makes much more sense to ditch probability altogether as a 
fundamental concept and instead use information as the more 
fundamental concept. If I observe the result of an experiment, then I 
obtain new in formation. I started out as a container of a massive 
amount of information that defines exactly who I am (or actually that 
part of it that I am aware of myself). So, before the measurement the 
fact that it's me th

Re: The multiverse is unscientific nonsense??

2023-11-23 Thread smitra

On 23-11-2023 22:12, Brent Meeker wrote:

On 11/23/2023 2:26 AM, John Clark wrote:


On Wed, Nov 22, 2023 at 5:55 PM Brent Meeker 
wrote:


Bohr insisted that we treat electrons as quantum objects but our

measuring instruments as classical objects. He also insisted that
human observers were classical objects, but he never specified
exactly where the dividing line between the quantum world and the
classical world was. And if that dividing line isn't the "Heisenberg
cut" then what is? But to be fair to you it's difficult to know
exactly what Bohr endorsed because much of his philosophical prose
is virtually unreadable; that's one reason the Copenhagen adherence
can't agree about fundamentally important things even among
themselves.

The point is that Bohr (unlike Heisenberg) didn't regard the "cut"

as part of physics.  It was a choice of our description.  It could
be chosen anywhere up to the macroscopic


OK, but Let me ask you this, like Bohr does that explanation satisfy
your curiosity about the fundamental nature of reality so much that
you don’t think anybody should even try to find something better, so
we should just give up? No, but we shouldn't adopt a just-so-story out
of desperation to avoid saying, "We don't know."


Are you absolutely certain nobody will ever find an explanation a
little more satisfying than that?

 Are you absolutely certain that the long sought theory of quantum
gravity will not change our view of QM?


Should Galileo have been satisfied with "things fall to the ground
because it is their nature to do so", should Newton have been
satisfied with that, or Einstein?  If we never even try to find
something better than that we will certainly never find it.

 You're the one who is saying, "I've found the truth and it's MWI."
Not me.  You criticize me because QBism isn't _enough_ interpretation
for you.  It leaves too much open.


_> This more like QBism_


Nobody is saying that QBism a.k.a. Copenhagen, a.k.a. Shut Up And
Calculate, doesn’t work; if you’re an Engineer who doesn't care
what's going on and just wants to make money with a new gadget
it’s fine.

 But it's gone beyond Copenhagen and cleaned up some of Copenhagen's
vagueness by taking advantage of deoherence theory.






Experimental results are necessary but they are not sufficient,

you also need a theory to make sense of it all, otherwise it's just
a bunch of numbers.







_ > Experimental results include theoretical interpretations which
get written up in arXiv.org, all of which are macroscopic and
classical so we can all read them and agree on what they say. _


Everybody agrees on what the results of an experiment are, but they
disagree about what they mean. Without the General Theory Of
Relativity the LIGO results are just squiggles produced by 2 mirrors 2
1/2 miles apart. So the mirrors squiggle, who cares?






_> it's all NECESSARILY CLASSICA_


Using only classical concepts explain to me how and why the Quantum
Eraser Experiment works. The explanation is in print which is
classical.


Anyway you're sure Many Worlds is better than than just noting

that probability means one thing happens and others don't.


That's not what probability means.

 But that's what it needs to mean to explain empirical results.


Probability is a real number between zero and one that can be used
to make money by making bets on what you will see next provided you
only make bets when that number is greater than 0.5 and you make
enough bets. And quantum mechanics can tell you what that number is.



 But MWI says all the bets win.  It doesn't tell you will only see one
result.  It doesn't take the probabilities seriously.  How is it even
an interpretation without interpreting the Born rule.  When I think of
MWI I think "results become orthogonal"  should say "...and then all
but one vanish."  But that violates the dogma that only the
Schroedinger equation is needed.



If all bets win, then you would still only see one result. Probability 
is not a well-defined physical concept anyway:


https://www.youtube.com/watch?v=wfzSE4Hoxbc=1036s

This also means that MWI is likely also not the final answer, but the 
implied multiverse aspect of Nature is hard to escape. It's similar to 
the position Einstein was in when he had very powerful arguments why 
gravity should be described as curved spacetime before he had found the 
field equations.


I think it makes much more sense to ditch probability altogether as a 
fundamental concept and instead use information as the more fundamental 
concept. If I observe the result of an experiment, then I obtain new in 
formation. I started out as a container of a massive amount of 
information that defines exactly who I am (or actually that part of it 
that I am aware of myself). So, before the measurement the fact that 
it's me that is about to do the measurement, not someone else is part of 
the observation. Personal identity is then just the sum total of all the 
information, and this then changes 

Re: NYTimes.com: What History Tells Us About the Feel-Bad Economy

2023-11-12 Thread smitra

I posted my comment here:

https://nyti.ms/40AQJCh#permid=129092606

Saibal


On 10-11-2023 13:51, John Clark wrote:

Check out this article from The New York Times. Because I'm a
subscriber, you can read it through this gift link without a
subscription.

What History Tells Us About the Feel-Bad Economy

Why are voters unhappy about low unemployment and falling inflation?

https://www.nytimes.com/2023/11/09/opinion/biden-economy-unemployment-history.html?unlocked_article_code=1.9Uw.oavr.izSY2fH23dGq=em-share


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Re: AI and interest rates

2023-10-05 Thread smitra

On 02-10-2023 19:06, John Clark wrote:

On Mon, Oct 2, 2023 at 9:26 AM smitra  wrote:


_> Productivity increase due to AI has yet to materialize. Systems
like ChatGPT are not all that useful for the economy_


That's because GPT-4 was only introduced a few months ago, and right
now it's as stupid as it's ever going to be.  But it's inevitable that
a machine that is as smart as a man is going to make a huge impact on
the economy.



Yes, I agree. But I do think that making progress in automatizing 
hands-on work is going to prove more difficult than letting an AI do 
purely digital tasks. There is 100% freedom in the virtual environment 
an AI has to operate in, but the real world is what it is.



The reason why there has been no recession so far is because the

Biden Administration has been spending massive amounts of money to
stimulate
the economy:


Then why is the rate of inflation coming down so fast?  And why is the
market telling us it expects inflation to stay low for the next few
years at least?


I do agree with what you wrote below about the way the GOP has an is 
causing trouble. The reason why inflation is coming down fast now is a 
combination of lower energy prices plus also the FED hikes starting to 
have an effect. The stock market and the bond market are telling 
different things about what to expect, and the bond market tends to be 
right most of the time. The stock market has moved into a bubble due to 
the fast FED hikes and the fact that the FED is never going to return to 
the previous policy of zero interest rates (ZIRP) and quantitative 
easing (QE) on a permanent basis outside of a recession.


The fundamental problem was that after the 2008 financial crisis, 
central banks ended up not just temporarily implementing a ZIRP + QE 
policy, but that this became a permanent measure. Many economists had 
warned that this was bound to go wrong Sooner or later a problem would 
occur for which you would normally require a stimulus in the form of 
ZIRP and QE and because we would already be doing that, other measures 
that are much more inflationary would be require. And then curbing the 
inflation that would inevitably crop up would be extremely painful 
because that would require reversing ZRP + QE under more difficult 
conditions.


And that's pretty much what happened in the aftermath of Covid. The 
economy is now in trouble because interest rates are now much higher and 
will be kept high with only moderate rat cuts next year. Particularly 
the smaller cmpanies have lots of debt and many of them need to 
refinance next year.


Doing ZIRP + QE for over a decade has forced many smaller companies to 
take on lots of debt due to competition. A company cannot just decide to 
not take on lots of debt at low interest rates to boosts profits, 
because they would end up outcompeted by competitors who then would do 
that. If ZIRP  + QE would be a short term policy to get the economy out 
of recession then this dynamics would not be in play. But because it was 
done permanently under good economic conditions, this has caused a 
significant part of the economy to be no longer profitable without ZIRP 
+ QE.


This has then caused the stick market to move into a  bubble. The stock 
market reached its peak in late 2021 early 2022. The valuation of stocks 
is basically an extrapolation of where the economy is expected to be in 
the future. And that was the based on the expectation that ZIRP and QE 
would continue to be the FED's policy indefinitely. But the FED hiked 
rates very fast and realistically the FED is never going to return to 
ZIRO + QE. Tis means that the stock market is enormously overvalued. It 
did correct down on 2022 but then later rise sharply to current levels.


Investors don't what to lose their money, the recession didn't come as 
fast as was expected. Many traders who were short became wrong footed, 
the market was pumped up and they had to cover their shorts. But now 
reality is slowly sinking in, companies will not make the sort of 
profits that can justify the current valuation of stocks, and the market 
will end up going down. As long as the market is overvalued, all the 
investors taken together make less money per invested dollar. So, after 
some ups and downs, the market will end up going down to a low enough 
level from which it can generate reasonable returns for investors. But 
the problem is that it has to sink to very low values for that to 
happen:


https://www.youtube.com/watch?v=j-9yz_1mJME=1085s

This means that either the stock market has to crash, or it will end up 
going sideways for a very long time. I think the latter scenario is more 
likely, but ether way this does have consequences for the real economy, 
because the value of pensions are going to go down if the stock market 
goes down, or doesn't grow as it normally does for a long period of 
time, which then affects spending.



Saibal




By the way, under the Trump administration the
national d

Re: AI and interest rates

2023-10-02 Thread smitra
Productivity increase due to AI has yet to materialize. Systems like 
ChatGPT are not all that useful for the economy as a whole, because if 
you are a manager or programmer and you earn $300,000 per year and you 
can now do more work per hour, you are not going to work less hours and 
take a pay cut for working less. You are just going to do more things, 
so the costs of having you employed stays the same. Productivity 
measured by the rate of production of goods will not go up, because 
ChatGPT s not replacing people at the factory floor, at least not yet.


For ChatGPT to boost productivity would require that the managers take a 
pay cut and work less. They could then perhaps supplement their income 
by doing hands-on work that's difficult to automatize on the factor 
floor. But that's obviously not going to happen.


The reason why there has been no recession so far is because the Biden 
Administration has been spending massive amounts of money to stimulate 
the economy:


https://www.bloomberg.com/news/articles/2023-08-06/bidenomics-boosts-the-us-economy-fanning-soft-landing-hopes-inflation-fears#xj4y7vzkg

And this in combination with the fact that many companies used the 
opportunity to refinance their debts and home owners refinanced their 
mortgages at low rates before the FED started to raise rates. This has 
increased the lag effect of the FED hikes. But the hammer will still 
come down, it will only take a bit longer. There will be companies that 
get into difficulties who previously could ahve been easily saved by a a 
cheap loan who now cannot get a cheap loan. So, even if refinancing is 
not an issue right now, the higher rates can still bite.


The refinancing wall is, however, still going to hit hard next year and 
in 2025. The FED will not have cut rates all that much unless the 
economy would already have tanked. The situation looks quite bad:


https://www.youtube.com/watch?v=0vkGjSybTLg=728s

And with bond yields having increased recently, this situation has only 
gotten worse.


Saibal



On 02-10-2023 13:46, John Clark wrote:

Events of the last year have not turned out as economists thought they
would, they thought the US was heading for a recession but that hasn't
happened, and they all thought inflation would remain stubbornly high
but for the last 3 months it is only been at 2.2 %, and the Federal
Reserve considers 2% to be the perfect amount of inflation. But
there's something that has surprised economists even more, they
expected interest rates to remain low but instead they are higher than
they've been in over 20 years, even higher than they were during the
2008 global financial meltdown. What's really unprecedented is that by
analyzing the spread between the price of ordinary bonds and bonds
indexed to changes in the Consumer Price Index the market is telling
us that for the last six months investors believed inflation is under
control; in the past this has always led to long term interest rates
going down, but that is not happening. So what is different this time?

I think the difference is AI. I think the market, that is to say the
collective wisdom of investors, is telling us that in 10 years it will
take far fewer dollars to remain alive or even to achieve a
middle-class lifestyle than it takes today to do the same thing, and
perhaps it won't take any dollars at all. So a dollar today will be
far more valuable to you than it will be 10 years from now. So if I'm
gonna loan you a dollar today I will demand a very high interest rate
to make it worth my while, and if you're not willing to pay it I'll
just spend that dollar on myself today.

 John K ClarkSee what's on my new list at  Extropolis [1]

icp

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Re: Is Many Worlds Falsifiable?

2023-09-04 Thread smitra

On 04-09-2023 01:35, Bruce Kellett wrote:

On Sun, Sep 3, 2023 at 11:37 AM smitra  wrote:


On 31-08-2023 06:08, Bruce Kellett wrote:


That is all very well, but it is not a local account of violations

of

the Bell inequalities. You merely claim that the local theory is

such

an account, but you do not spell it out.


John has addressed this in a subsequent reply where he cites an old
reply giving the detailed account involving polarizers.


I have responded to John in a separate post. He appears to have a very
weak grasp of logic, and his arguments are not valid.


Thing is that in conventional QM we only have the dynamics only
involves
the Schrödinger equation and collapse.


The Schrodinger equation is not necessary for quantum mechanics. The
Heiseberg matrix formulation does not involve the SE. Time evolution
is just a unitary transformation after all. The wave function is not
necessary. Dirac, in his book on quantum mechanics, mentions the wave
function only in an inconsequential footnote.



It's equivalent, so it doesn;t matter that there exists an alternative 
formalism.



The time evolution according to
the Schrödinger equation is manifestly local,


But unitary evolution according to the SE cannot account for the
correlation of entangled particles.



It can, just calculate it and don't collapse the wavefunction. If the 
parallel worlds are unobservable FAPP, then it shouldn't matter whether 
or not you assume they exist or not, at least for these sorts of 
practical experiments.




while the collapse is the
only non-local part. So, any version of QM in which there is no
collapse
is guaranteed to be local.



Another important thing to note here is that Bell's theorem only
applies
to hidden variable theories, it does not apply to QM in general.


Where on earth did you get that idea from? As John has pointed out,
Bell's theorem does not require even quantum mechanics. It is just a
piece of mathematics.It applies with complete generality to quantum
mechanics, with or without hidden variables.



Bell's theorem is about local hidden variables theories, it's not a 
theorem of QM in the sense of something that follows from the postulates 
of QM like e.g Ehrenfest's theorem. It's theorem that follows from he 
assumed properties of a general local hidden variables theory and it 
derives bounds on correlations. You can then consider the correlations 
of certain observables in QM and see that they violate these 
inequalities.


What conclusions can we draw? If we assume that QM is not fundamental 
and that there exists a hidden variables theory that reproduces QM 
either exactly or to a good approximation, then we can conclude that 
such a hidden variables theory cannot be local.


Or we can conclude that QM is fundamental and that there is no deeper 
hidden variables theory underlying QM. In this case the violation of 
Bell's inequality does not imply non-locality. However, collapse is then 
still a non-local mechanism.






The MWI
is not a hidden variables theory, so Bell's theorem has nothing
whatsoever to say about this.


Again, As I pointed out to John, even if you assume that Bell's
theorem does not apply to MWI (and of course it does), then it does
not follow that the theory is local. It could be non-local for reasons
unconnected with Bell's theorem.



Yes, but the only source of non-locality is collapse. Once you get rid 
of collapse, the theory becomes local, because the Standard Model is a 
local theory.




We have had this discussion before, and you couldn't give the

detailed

local account then either.


You disputed the well established fact that all known interactions
are
locaThat is not a well establised fact. Given the violations of the
Bell inequalitiers, the only well established fact is that standard
QM is non-local.




As pointed out above the violation of Bell's inequality only implies 
non-locality in hidden variables models. Bell's theorem s a theorem 
derived from the general properties of an arbitrary local hidden 
variables theory and one then derives bounds for correlations.


You seem to pretend that it's a theorem of QM, in which case one would 
start from the postulates of QM and derive bounds on correlations for 
any system described by a local Hamiltonian. That's obviously not true.




You would not take a formal answer like

psi(x, t) = Exp(-i H/hbar t) psi(x,0)

where H is the a local Hamiltonian that describes the dynamics for
an
answer.


Of course that is not an answer. It is merely a re-stating of your
contention that QM is always local. Whether or not that Hamiltonian
formulation is able to account for the Bell-type correlations is
precisely the point at issue. Restating that the correlations do
indeed have a local explanation does not take us any further forward.



No non-local interactions have ever been demonstrated to exist.



You wanted me two explicitly write out H for a Bell-type
experiment for H a manifestly local Hamiltonian

Re: Is Many Worlds Falsifiable?

2023-09-02 Thread smitra

On 31-08-2023 06:08, Bruce Kellett wrote:

On Thu, Aug 31, 2023 at 12:27 PM smitra  wrote:


There is no problem here because in practice MWI is nothing more
than
the usual QM formalism to compute the outcome of experiments where
you
then assume that the ensemble of all possible outcomes really
exists.
Locality then follows from the fact hat the dynamics of the theory
is
manifestly local. The Hamiltonian only includes local interactions
and
observers are part of this dynamics. Although observer are not
explicitly treated as being part of the wavefunction that describes
the
entire system, the assumption is that in principle, this is the
case. In
practice, one can then proceed according to the usual QM formalism.


That is all very well, but it is not a local account of violations of
the Bell inequalities. You merely claim that the local theory is such
an account, but you do not spell it out.


John has addressed this in a subsequent reply where he cites an old 
reply giving the detailed account involving polarizers.



Thing is that in conventional QM we only have the dynamics only involves 
the Schrödinger equation and collapse. The time evolution according to 
the Schrödinger equation is manifestly local, while the collapse is the 
only non-local part. So, any version of QM in which there is no collapse 
is guaranteed to be local.


Another important thing to note here is that Bell's theorem only applies 
to hidden variable theories, it does not apply to QM in general. The MWI 
is not a hidden variables theory, so Bell's theorem has nothing 
whatsoever to say about this.




We have had this discussion before, and you couldn't give the detailed
local account then either.


You disputed the well established fact that all known interactions are 
local. You would not take a formal answer like


 psi(x, t) = Exp(-i H/hbar t) psi(x,0)

where H is the a local Hamiltonian that describes the dynamics for an 
answer.  You wanted me two explicitly write out H for a Bell-type 
experiment for H a manifestly local Hamiltonian, and then to compute the 
time evolution. Me not doing that was your argument that something 
non-local was going on here.


 Bell'e theorem applies in Everettian

quantum mechanics in exactly the same way as it applies in one-world
accounts. Bell's theorem proves that the effect is non-local, so no
local account is possible in any interpretation of QM.


Bell's theorem only applies to hidden variable theories, MWI is not a 
hidden variables theory. Bell's theorem does not even prove that 
Bell-type correlations are non-local in one-world interpretations of QM. 
Until that time one postulates hidden variables, Bell's theorem has 
nothing whatsoever to say about this.


Saibal








John points out the thought experiments by Deutsch makes it clear
that
the usual QM formalism will not work in certain cases, that will
then
falsify the ad hoc collapse postulate. If you then believe that MWI
cannot account for violation of Bell's inequalities while ordinary
QM
can, then that begs the question of how removing the FAPP
unobservable
sectors where all other outcomes are realized, could matter at all.


The other sectors are not just FAPP unoservable, they are not
observable in principle. How could the presence of unobservable fairy
tales affect anything at all? The standard account of violations of
the Bell inequalities in quantum mechanics relies on the notion of
non-locality. And since the effect is non-local, no local account is
possible.

Bruce

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Re: Is Many Worlds Falsifiable?

2023-08-30 Thread smitra
There is no problem here because in practice MWI is nothing more than 
the usual QM formalism to compute the outcome of experiments where you 
then assume that the ensemble of all possible outcomes really exists. 
Locality then follows from the fact hat the dynamics of the theory is 
manifestly local. The Hamiltonian only includes local interactions and 
observers are part of this dynamics. Although observer are not 
explicitly treated as being part of the wavefunction that describes the 
entire system, the assumption is that in principle, this is the case. In 
practice, one can then proceed according to the usual QM formalism.


John points out the thought experiments by Deutsch makes it clear that 
the usual QM formalism will not work in certain cases, that will then 
falsify the ad hoc collapse postulate. If you then believe that MWI 
cannot account for violation of Bell's inequalities while ordinary QM 
can, then that begs the question of how removing the FAPP unobservable 
sectors where all other outcomes are realized, could matter at all.


Saibal





On 31-08-2023 00:55, Bruce Kellett wrote:

The many worlds idea has already been falsified because it cannot
account for the observed violation of the Bell inequalities for
entangled particles. MWI is supposedly a local theory -- where is the
local account of the correlations  of entangled particles?

Bruce

On Thu, Aug 31, 2023 at 12:39 AM John Clark 
wrote:


The short answer is yes, Many Worlds is falsifiable. For example,
right now there are experiments underway in an attempt to prove that
the GRW theory of objective quantum wave collapse makes predictions
that Many Worlds does not, if they are successful it will prove that
Everett was dead wrong, it's as simple as that.  GRW claims that
Schrodinger's equation is incomplete and that another very complex
term needs to be added to it because it's the only way they could
think of to get rid of all those worlds that for some reason they
dislike, there was simply no other reason to add that extra term.
With this new term Schrodinger's equation is no longer completely
deterministic because a random element is added such that the larger
the wave function is (the more particles it has) the more likely the
quantum wave function will objectively collapse. They carefully
tuned their very complex extra term inserted into Schrödinger's
equation in just such a way that, because an individual electron is
so small the probability of you being able to observe one
objectively collapse is almost but not quite zero; but the
probability of you NOT observing something as large as a baseball
NOT collapsing is also almost, but not quite, zero. Despite heroic
efforts. up to the present day nobody has found a speck of
experimental evidence in support of the GRW theory of objective
quantum wave collapse, and until and unless they do Many Worlds must
be the preferred theory according to Occam's razor because it makes
fewer assumptions, it has no need to complicate matters by adding
that extra term to Schrodinger's equation.

But GRW is not the only or even the most popular competitor to Many
Worlds, that honor would have to go to the Copenhagen
interpretation, and there is certainly no way to falsify that, but
back in 1986 in his book "The Ghost in the Atom" David Deutsch
proposed another way to falsify Everett's Many Worlds; the
experiment would be difficult to perform but Deutsch argues that is
not Many Worlds fault, the reason it's so difficult is that the
conventional view says conscious observers obey different laws of
physics, Many Worlds says they do not, so to test who's right we
need a mind that uses quantum properties.

In Deutsch's experiment, to prove or disprove the existence of many
worlds other than this one, a conscious quantum computer shoots
electrons at a metal plate that has 2 small slits in it. It does
this one at a time. The quantum computer has detectors near each
slit so it knows which slit the various electrons went through. The
quantum mind now signs a document for each and every electron saying
it has observed the electron and knows which slit it went through.
It is very important that the document does NOT say which slit the
electron went through, it only says that it went through one and
only one slit and the mind has knowledge of which one. Now just
before the electron hits the plate the mind uses quantum erasure to
completely destroy the memory of what slits the electrons went
through, but all other memories including all the documents remain
undamaged. After the document is signed the electron continues on
its way and hits the photographic plate. Then after thousands of
electrons have been observed and all which-way information has been
erased, develop the photographic plate and look at it. If you see
interference bands then the Many World interpretation is correct. If
you do not see interference bands then there are no worlds but this
one and the conventional interpretation is correct.


Re: Have huge stars powered by Dark Matter been discovered?

2023-08-12 Thread smitra
See page 11 section A: "Cold Thermal Relic" of this paper: 
https://arxiv.org/abs/0709.3102


As pointed out there, the mass of the particle then drops out of the 
estimate of the cross section. And as pointed out in section C: 
"Supermassive relics", if the mass is more than 240 TeV then it cannot 
be a thermal relic.


Saibal






On 10-08-2023 23:42, Jesse Mazer wrote:

Any links on this argument? If we do assume that dark matter is made
of WIMPs and that they *were* approximately in thermal equilibrium not
long after the Big Bang, does the argument imply an upper limit on the
collider energy needed to observe them, because WIMPs at higher
energies than this limit would be inconsistent with cosmological
observations about dark matter?

On Thu, Aug 10, 2023 at 7:58 AM smitra  wrote:


A more model independent argument (which does have loopholes) goes
as
follows. The weaker WIMPS interact with themselves and with baryons,
the
sooner after the Big Bang they decouple, leading to a higher
present-day
abundance. Then with the present-day abundance fixed, this implies
limits on the parameters describing WIMPS. And it becomes more and
more
difficult to accommodate for WIMS with smaller and smaller small
cross-sections. But dark matter that has extremely weak interactions
and
self-interactions would never have been in thermal equilibrium,
which is
a possible loophole out of this no-go argument.

Saibal

On 10-08-2023 01:42, Jesse Mazer wrote:

Does the idea that colliders should have already found WIMPs

depend on

the "naturalness" idea at
https://en.wikipedia.org/wiki/Naturalness_(physics) which requires
supersymmetric particles at those energies in order to solve the
"hierarchy problem", or are there independent reasons to think

that if

WIMPs existed they should already have been found? I've read that
those who endorse the string theory "landscape" idea see anthropic
fine-tuning as an alternative to naturalness and thus didn't

predict

that supersymmetric particles would likely be found at LHC

energies,

for example Leonard Susskind's 2004 paper at
https://arxiv.org/abs/hep-ph/0406197v1 said the following on pages
1-2:

'If the Landscape and the Discretuum are real, the idea of

naturalness

must be replaced with something more appropriate. I will adopt the
following tentative replacement: First eliminate all vacua which

do

not allow intelligent life to evolve. Here we need to make some
guesses. I’ll guess that life cannot exist in the cores of

stars,

cold interstellar dust clouds or on planets rich in silicon but

poor

in carbon. I’ll also guess that black holes, red giants and

pulsars

are not intelligent.

'Next scan the remaining fraction of vacua for various properties.

If

the property in question is common among these “anthropically
acceptable” vacua then the property is natural. By common I mean
that some non-negligible fraction of the vacua have the required
property. If however, the property is very rare, even among this
restricted class, then it should be deemed unnatural. Of course

there

is no guarantee that we are not exceptional, even among the small
fraction of anthropically acceptable environments. It is in the

nature

of statistical arguments that rare exceptions can and do occur.

Michael Douglas has advocated essentially the same definition

although

he prefers to avoid the use of the word anthropic wherever

possible,

and substitute “phenomenologically acceptable”. We have both
attempted to address the following question: Are the vacua with
anthropically small enough cosmological constants and Higgs

masses,

numerically dominated by low energy supersymmetry or by

supersymmetry

breaking at very high energy scales [8][7]? In other words is low
energy supersymmetry breaking natural? My conclusion–I won’t
attempt to speak for Douglas–is that the most numerous

“acceptable

vacua” do not have low energy supersymmetry. Phenomenological
supersymmetry appears to be unnatural.'

On Sat, Aug 5, 2023 at 5:26 PM Lawrence Crowell
 wrote:


One weakness with this idea is it depends upon WIMP theory. This

is

where the DM particles are weak interacting and Majorana. They

are

their own anti-particle as a result annihilate themselves. The
problem is that detectors means to find WIMPS have come up with
nothing. DM appears to exist, but it may not be a weakly

interacting

particle or WIMP.

LC

On Sunday, July 16, 2023 at 6:58:19 AM UTC-5 John Clark wrote:


As early as 2012 scientists predicted that the Hubble telescope
would see something they called a "Dark Star".

Observing supermassive dark stars with James Webb Space

Telescope

[1]

They theorized in the early universe Dark Matter, whatever it

is,

must've been much more densely concentrated than it is today,

and

if Dark Matter particles are their own antiparticles as many

think

then their annihilation could provide a heat source, they could
keeping star

Re: Have huge stars powered by Dark Matter been discovered?

2023-08-10 Thread smitra
A more model independent argument (which does have loopholes) goes as 
follows. The weaker WIMPS interact with themselves and with baryons, the 
sooner after the Big Bang they decouple, leading to a higher present-day 
abundance. Then with the present-day abundance fixed, this implies 
limits on the parameters describing WIMPS. And it becomes more and more 
difficult to accommodate for WIMS with smaller and smaller small 
cross-sections. But dark matter that has extremely weak interactions and 
self-interactions would never have been in thermal equilibrium, which is 
a possible loophole out of this no-go argument.


Saibal

On 10-08-2023 01:42, Jesse Mazer wrote:

Does the idea that colliders should have already found WIMPs depend on
the "naturalness" idea at
https://en.wikipedia.org/wiki/Naturalness_(physics) which requires
supersymmetric particles at those energies in order to solve the
"hierarchy problem", or are there independent reasons to think that if
WIMPs existed they should already have been found? I've read that
those who endorse the string theory "landscape" idea see anthropic
fine-tuning as an alternative to naturalness and thus didn't predict
that supersymmetric particles would likely be found at LHC energies,
for example Leonard Susskind's 2004 paper at
https://arxiv.org/abs/hep-ph/0406197v1 said the following on pages
1-2:

'If the Landscape and the Discretuum are real, the idea of naturalness
must be replaced with something more appropriate. I will adopt the
following tentative replacement: First eliminate all vacua which do
not allow intelligent life to evolve. Here we need to make some
guesses. I’ll guess that life cannot exist in the cores of stars,
cold interstellar dust clouds or on planets rich in silicon but poor
in carbon. I’ll also guess that black holes, red giants and pulsars
are not intelligent.

'Next scan the remaining fraction of vacua for various properties. If
the property in question is common among these “anthropically
acceptable” vacua then the property is natural. By common I mean
that some non-negligible fraction of the vacua have the required
property. If however, the property is very rare, even among this
restricted class, then it should be deemed unnatural. Of course there
is no guarantee that we are not exceptional, even among the small
fraction of anthropically acceptable environments. It is in the nature
of statistical arguments that rare exceptions can and do occur.

Michael Douglas has advocated essentially the same definition although
he prefers to avoid the use of the word anthropic wherever possible,
and substitute “phenomenologically acceptable”. We have both
attempted to address the following question: Are the vacua with
anthropically small enough cosmological constants and Higgs masses,
numerically dominated by low energy supersymmetry or by supersymmetry
breaking at very high energy scales [8][7]? In other words is low
energy supersymmetry breaking natural? My conclusion–I won’t
attempt to speak for Douglas–is that the most numerous “acceptable
vacua” do not have low energy supersymmetry. Phenomenological
supersymmetry appears to be unnatural.'

On Sat, Aug 5, 2023 at 5:26 PM Lawrence Crowell
 wrote:


One weakness with this idea is it depends upon WIMP theory. This is
where the DM particles are weak interacting and Majorana. They are
their own anti-particle as a result annihilate themselves. The
problem is that detectors means to find WIMPS have come up with
nothing. DM appears to exist, but it may not be a weakly interacting
particle or WIMP.

LC

On Sunday, July 16, 2023 at 6:58:19 AM UTC-5 John Clark wrote:


As early as 2012 scientists predicted that the Hubble telescope
would see something they called a "Dark Star".

Observing supermassive dark stars with James Webb Space Telescope
[1]

They theorized in the early universe Dark Matter, whatever it is,
must've been much more densely concentrated than it is today, and
if Dark Matter particles are their own antiparticles as many think
then their annihilation could provide a heat source, they could
keeping star in thermal and hydrodynamic equilibrium and prevent
it from collapsing. They hypothesized something they called a
"Dark Star '', it would be a star with a million times the mass of
the sun and would be composed almost entirely of hydrogen and
helium but with 0.1% Dark Matter.  A Dark Star would not be dark
but would be 10 billion times as bright as the sun and be powered
by dark matter not nuclear fusion.

Astronomers were puzzled by pictures taken with the James Webb
telescope that they interpreted to be bright galaxies just 320
million years after the Big Bang that were much brighter than most
expected them to be that early in the universe, a recent paper by
the same people that theorized existence of Dark Stars claim they
could solve this puzzle. They claim 3 of the most distant objects
that the Webb telescope has seen are point sources, as you'd
expect from a Dark Star, and their spectrum 

Re: Superconductivity

2023-07-29 Thread smitra
We'll have to see! Commentary from experts leans to this result more 
likely being due to strong paramagnetism rather than the Meissner effect 
characteristic of superconductivity.


Saibal

On 26-07-2023 22:55, 'spudboy...@aol.com' via Everything List wrote:

So, what is next, manufacturing for zero-G on earth, MagLev trains?
Baby Fusion reactors?

 On Wednesday, July 26, 2023 at 04:20:28 PM EDT, smitra
 wrote:

There were two preprints, this is the other one:

https://arxiv.org/abs/2307.12037

Saibal

On 26-07-2023 17:27, John Clark wrote:


In March the journal Nature published an article claiming that a
room
temperature Superconductor had been discovered.

Evidence of near-ambient superconductivity in a N-doped lutetium
hydride [1 [1]]

I was a little surprised Nature decided to publish it because the
same
people made the same claim a few years ago but the journal had to
retract it,  and now to their intense embarrassment it looks like
history is going to be repeating itself; the lead author sent
another
paper to the Physical Review Journal and now it looks like they're
going to have to retract that paper too:

‘A very disturbing picture’: another retraction imminent for
controversial physicist [2 [2]]

Meanwhile a completely different group has claimed to have found a
different substance that superconducts at room temperature and
pressure. I'll believe it when I see it:

The First Room-Temperature Ambient-Pressure Superconductor [3 [3]]

John K ClarkSee what's on my new list at  Extropolis [4 [4]]

9kd

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Re: Are insects sentient?

2023-07-01 Thread smitra
As I've mentioned here some time ago, I'm of the opinion that we're 
approaching these sorts of questions backward. In my opinion there just 
exists consciousness, feelings etc. and having an awareness of having a 
particular identity is then part of that. And this latter aspect that is 
strongly present in us may not be so strong in animals.


We then need to consider a continuum of conscious states where some 
conscious states include an awareness about a personal identity. And 
that awareness may not always locate its presence in space and time all 
that precisely. It's easy to get to contrived thought experiments like 
the brain-in-a-vat thought experiments where an isolated brain ends up 
implementing the consciousness of someone who has a normal body and is 
gong about his normal business. In that case we could say that this 
brain is conscious. But the content of its consciousness is that of a 
person who is located elsewhere (if we take the multiverse view than 
that person really exists). So, from the point of view of that person 
that is implemented by the brain-in-a-vat, that person is not a 
brain-in-a-vat at all. If the brain-in-a-vat were to be destroyed, the 
person would continue his life as if nothing had happened.


I think we need to approach the question of insect awareness from the 
same perspective. The algorithms that the brain of insects implement do 
not process enough information to locate themselves inside the bodies 
and where we observe them. From the point of view of the algorithm that 
is run by the insect, it could be in a far wider range of body-shapes 
and live in a far wider range of locations than where we observe it to 
be.


Saibal



On 28-06-2023 20:15, Jason Resch wrote:

On Sun, Jun 25, 2023 at 4:12 PM Brent Meeker 
wrote:


I think sentient includes consciousness, but is broader including
perception and feelings.  Does it include self-reflection? empathy?


Great article, thanks for sharing. I also enjoyed the one which this
article was about:
https://www.scientificamerican.com/article/do-insects-feel-joy-and-pain/

As for definitions, some use sentience to mean the capacity to feel,
while others lump in self-awareness with sentience. I think the former
is more standard and in line with the original meaning.

As for which word is more inclusive, I think consciousness can in some
respects be considered the most general and inclusive word, its
meaning being simply "having knowledge". Since the knowledge can
concern anything (including things besides knowledge of one's feelings
or perceptions), then the word "consciousness" is the broadest.
Sentience would be a subset of consciousness, and self-awareness,
self-reflection, emotions, and empathy would be  subclasses of
possible conscious states.

Jason


 Forwarded Message 

whyevolutionistrue posted: "The Oxford English Dictionary gives
three relevant definitions of the adjective "sentient": a.) That
feels or is capable of feeling; having the power or function of
sensation or of perception by the senses. b.) Conscious or
percipient of something. " Why Evolution Is True [4]

ARE INSECTS SENTIENT? [5]

whyevolutionistrue

Jun 25

The _Oxford English Dictionary_ gives three relevant definitions of
the adjective "sentient":


a.) That feels or is capable of feeling; having the power or
function of sensation or of perception by the senses.

b.) Conscious or percipient _of_ something.

c.) _Physiology_. Of organs or tissues: Responsive to sensory
stimuli.


("Sentience" itself is defined only as "The condition or quality of
being sentient, consciousness, susceptibility to sensation.")

The question that the _Scientific American_ article below asks (and
for once it's written by a scientist in this field [6]) is whether
insects fit the definition of the first two definitions: do they
have feelings and sensations experiencing _qualia [7]_ like pain,
joy, pleasure, or the sensation of "redness"?  Or are insects merely
chitinous robots that are _programmed by evolution to act (to us) as
if they have feelings—_programmed reactions that we
anthropormophize as similar to our own sensations? After all, you
can be "responsive to sensory stimuli" (the third sense above)
without actually _feeling_ the sensory stimuli the way humans do.

Answering the question of whether a bee or a fly is sentient in the
first two senses, or has consciousness (the ability to be sentient
and perceive stimuli), is difficult. Some would say it's impossible.
After all, we all know that we ourselves have consciousness  and
feel pain and joy, because we experience those things personally.
But can I _prove_ that, say, another person is conscious? Not
directly, because we can't get inside their brains. We _infer_ that
they're conscious because they tell us they are; they are physically
constructed with the same neurons that give _us_ consciousness; and
they act as if they experience qualia.  It's inference, but of a
Bayesian sort, and the 

Re: what chatGPT is and is not

2023-05-27 Thread smitra
Indeed, and as I pointed out, it's not all that difficult to debunk the 
idea that it understands anything at all by asking simple questions that 
are not included in its database. You can test chatGPT just like you can 
test students who you suspect have cheated at exams. You invite them for 
clarification in your office, and let them do some problems in front of 
you on the blackboard. If those questions are simpler than the exam 
problems and the student cannot do those, then that's a red flag.


Similarly, as discussed here, chatGPT was able to give the derivation of 
the moment of inertia of a sphere, but was unable to derive this in a 
much simpler way by invoking spherical symmetry even when given lots of 
hints. All it could do was write down the original derivation again and 
the  argue that the moment of inertia is the same for all axes, and that 
the result is spherically symmetric, But it couldn't derive the 
expression for the moment of inertia by making use of that (adding up 
the momenta of inertia in 3 orthogonal directions yields a spherically 
symmetric integral that's much easier to compute). The reason why it 
can't do this is because it's not in its database.


And there are quite few of such cases where there the widely published 
solution is significantly more complex than another solution which isn't 
widely published and may not be in chatGPT's database. For example:


Derive that the flux of isotropic radiation incident on an area is 1/4 u 
c where u is the energy density and c the speed of light.


Standard solution: The part of the flux coming from a solid angle range 
dOmega is u c cos(theta) dOmega/(4 pi) where theta is the angle with the 
normal of the surface. Writing dOmega as sin(theta) dtheta dphi and 
integrating over the half-sphere from which the radiation can reach the 
area, yields:


Flux = u c/(4 pi)Integral over phi from  0 o 2 pi dphi Integral over 
theta from 0 to pi/2 of sin(theta) cos(theta) d theta =1/4 u c


chatGPT will probably have no problems blurting this out, because this 
can be found in almost all sources.


But the fact that radiation is isotropic should be something that we 
could exploit to simplify this derivation. That's indeed possible. The 
reason why we couldn't in the above derivation was because we let the 
area be a small straight area that broke spherical symmetry. So let's 
fix that:


Much simpler derivation: Consider a small sphere of radius r inside a 
cavity filled with isotropic radiation. The amount of radiation 
intercepted from a solid angle range dOmega around any direction is then 
 u c pi r^2 dOmega/(4 pi), because the radiation is intercepted by the 
cross section of the sphere in the direction orthogonal from where the 
radiation is coming and hat's always pi r^2. Because this doesn't depend 
on the direction the radiation is coming from, integrating over the  
solid angle is now trivial, this yields u c pi r^2. The flux intercepted 
by an area element on the sphere is then obtained by dividing this by 
the area 4 pi r^2 of the sphere which is therefore 1/4 u c. And if 
that's the flux incident on an area element of a sphere, it is also the 
flux though it if the rest of the sphere wouldn't be there.


chatGPT probably won't be able to present this much simpler derivation 
regardless of how many hints you give it.



Saibal







On 22-05-2023 23:56, Terren Suydam wrote:

Many, myself included, are captivated by the amazing capabilities of
chatGPT and other LLMs. They are, truly, incredible. Depending on your
definition of Turing Test, it passes with flying colors in many, many
contexts. It would take a much stricter Turing Test than we might have
imagined this time last year, before we could confidently say that
we're not talking to a human. One way to improve chatGPT's performance
on an actual Turing Test would be to slow it down, because it is too
fast to be human.

All that said, is chatGPT actually intelligent?  There's no question
that it behaves in a way that we would all agree is intelligent. The
answers it gives, and the speed it gives them in, reflect an
intelligence that often far exceeds most if not all humans.

I know some here say intelligence is as intelligence does. Full stop,
conversation over. ChatGPT is intelligent, because it acts
intelligently.

But this is an oversimplified view!  The reason it's over-simple is
that it ignores what the source of the intelligence is. The source of
the intelligence is in the texts it's trained on. If ChatGPT was
trained on gibberish, that's what you'd get out of it. It is amazingly
similar to the Chinese Room thought experiment proposed by John
Searle. It is manipulating symbols without having any understanding of
what those symbols are. As a result, it does not and can not know if
what it's saying is correct or not. This is a well known caveat of
using LLMs.

ChatGPT, therefore, is more like a search engine that can extract the
intelligence that is already structured 

Re: NYTimes.com: Will a Chatbot Write the Next ‘Succession’?

2023-05-15 Thread smitra

On 29-04-2023 22:39, John Clark wrote:

On Sat, Apr 29, 2023 at 4:28 PM smitra  wrote:

https://nyti.ms/3VlIBDo#permid=124757243 [1]

You say that GPT4 doesn't understand what it is saying, but did you
read my post about what happened when Scott Aaronson gave his final
exam on Quantum Computers to GPT4? The computer sure acted as if it
understood what it was saying!

John K Clark


If I read his account of the xam on posted here:

https://scottaaronson.blog/?p=7209

Then while I'm impressed about how much progress has been made with AI 
systems being able to communicate in plain language, I don't see much 
evidence that it understands anything at all. Even though the exact same 
questions with answers are not posted on the Internet, a student with 
poor knowledge of the subject who could very fast search the entire 
Internet would be able to score a similar result and you would then see 
a similar patters in ha questions it got right and wrong.


The way we evaluate students who we suspect of have cheated, is to 
invite them at the office for some questioning, We then ask the student 
to do some problems on the blackboard and try to get to the bottom of 
whether or not the student has a proper understanding of the subject 
consistent with the exam score.


That's why I think that the only proper way to evaluate GPT is via such 
a dialogue where you ask follow up questions that go to the hart of the 
matter.


If we want to test of GPT has properly mastered contour integration, I 
would first start with asking to give me the derivation of the integral 
of sin(x)/x dx from minus to plus infinity. It will probably blurt out 
the standard derivation that involves integrating exp(i z)/z that 
bypasses the origin along  a small circle of radius epsilon and you then 
have to subtract that contribution of that half circle and take the 
limit of epsilon to zero.


This is the standard textbook derivation which is actually quite a bit 
more complicated with all this fiddling with epsilon than a different 
derivation which is not widely published. All you need to do is right at 
th start when you write the integral as the limit of R to infinity of 
the integral from minus to plus R of sin(x)/x dx, to ud]se Cauchy's 
theorem to change to integration path from  along the real axis to one 
which bypasses the origin You can do that in any arbitrary way, we can 
let the contour pass it from above. But because sin(z) for complex z 
cannot be written as the imaginary part of exp(i z), we must now use 
that sin(z) = [exp(i z) - exp(- i z)]/(2 i). And we then split the 
integral into two parts for each of these terms. The integral, from the 
first term is then completed by an arc of radius R in the upper 
half-plane and this integral yields zero, while the integral for the 
second term is completed in the lower half-plane and this then picks up 
the contribution from the pole at zero.


Clearly this is a much simpler way of computing the integral, no 
fiddling with epsilon involved at all  but GPT may struggle doing the 
problem in that much simpler way even if you walk it through most of the 
details of how to do it, because it's not widely published and it 
doesn't understand anything at all about complex analysis at all.


Saibal

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Re: NYTimes.com: Will a Chatbot Write the Next ‘Succession’?

2023-04-29 Thread smitra

On 29-04-2023 14:29, John Clark wrote:

You can read this article from The New York Times without a
subscription. Tap the link to read it, and enjoy quality independent
journalism

Will a Chatbot Write the Next ‘Succession’?

As labor contract negotiations heat up in Hollywood, unions
representing writers and actors seek limits on artificial
intelligence.

https://www.nytimes.com/2023/04/29/business/media/writers-guild-hollywood-ai-chatgpt.html?unlocked_article_code=LYJ1gMOSvuHfXBMyMp9CG9WwcOmBzuRncRWRTgjC7kiFMI_MuZp1gqqbephUDdTx2TCll7-Zc1FIxDFRyNmhvYYVieXwR1WEZIUH_rPmpI5h9lqSvWOpNfdYuRrqtgxsELEHhNNusat9OXhVVyvom31Xz6fROodH8pGpD9y-iuojJlm1lDv1xsepfiVIcl64IUfag38WYeDwDiJGyO9BUL5RLqO9qgUZcxW1-HUf0p_GiydH1rPa1XZM-RryoJTTQXt5wtN0iAYa3-jnTo57_eSc7n_MRYepjTqhDGHsCGRpq9P5lYJjW_oRgGvnlaVLx_9KhFgFCoKmr2yPq21GRgZgnNoFAeBTvi5ZRG4cchhEEKM=3_Independent=em-share



Replied: https://nyti.ms/3VlIBDo#permid=124757243

Saibal

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Re: GPT4 + Mathematica

2023-04-12 Thread smitra

On 12-04-2023 13:36, John Clark wrote:

On Tue, Apr 11, 2023 at 11:06 PM smitra  wrote:


So, it has noticed that it used the wrong formulas and it has

found the
correct ones. However, it was not able to do the calculation using
spherical symmetry. It only noted in the previous answer that the
answer
is spherically symmetric because it doesn't depend on the
orientation of
the axis relative to which the moment of inertia is computed.
So, it tells you the steps to compute the three dimensional integral
in
spherical coordinates, it is unable to see that adding up the three
moments of inertias about the x, y and z axis yields a spherically
symmetric expression that can be computed using a one dimensional
integral over the radius.
Being unable to solve a problem in a much simpler way than the
standard
way is a big red flag against the idea that GPT can do any math at
all.


I think the problem is that you and GPT have a difference of opinion
about which is simpler, Cartesian coordinates or spherical
coordinates. And there is no disputing matters of taste.

I just add this conversation with GPT


ME: If adding up the three moments of inertias about the x, y and z

axis yields a spherically symmetric expression can the moment of
inertia formula be derived by simply using a one dimensional integral
over the radius?

GPT: "Yes, that's correct. Once we have established that the moment of
inertia of a solid sphere is spherically symmetric, we can compute it
using a one-dimensional integral over the radius. Specifically, the
moment of inertia of a solid sphere of radius R and mass M about an
axis passing through its center is given by:

I = (2/5) MR^2

This formula can be derived by integrating the spherically symmetric
expression for the moment of inertia over the volume of the sphere
using spherical coordinates, which simplifies the calculation to a
one-dimensional integral over the radius. Here's how the derivation
goes:

The moment of inertia of a solid sphere of radius R and mass M about
an axis passing through its center is given by:

I = ∫∫ (r^2 sin^2θ) ρ dV

where ρ is the density and dV is the volume element in spherical
coordinates. Since the sphere has uniform density, we can write ρ = M
/ (4/3 * π * R^3).Using the fact that the integrand is spherically
symmetric, we can write:

I = ∫∫∫ (r^2 sin^2θ) ρ dV = ρ ∫∫∫ (r^2 sin^2θ) r^2 sin
θ dr dθ dφ

Substituting in the expression for ρ and using the fact that the
integral is spherically symmetric, we can simplify the integral to:

I = (3/5) MR^2 ∫∫ sin^3θ dθ dφ

The integral over θ and φ can be evaluated to give:

∫∫ sin^3θ dθ dφ = 4π/3

Substituting this into the expression for I, we get:

I = (2/5) MR^2
THEREFORE, THE MOMENT OF INERTIA OF A SOLID SPHERE ABOUT AN AXIS
PASSING THROUGH ITS CENTER CAN BE DERIVED BY SIMPLY USING A
ONE-DIMENSIONAL INTEGRAL OVER THE RADIUS, AND IS GIVEN BY (2/5) MR^2."

 John K ClarkSee what's on my new list at  Extropolis [1]

5vd


The issue is that GPT keeps on doing the derivation in the same way 
where the symmetry is broken by the choice of the axis and it then ends 
up with the integral over theta, phi and r and after doing the 
trigonometric integral it says that there is only an integral over r 
left.


But if you just write down the formula for Ix + Iy + Iz then because for 
Ik  you need to integrate r^2 - distance along kth axis^2, we have to 
integrate 3 r^2 - (x^2 + y^2 + z^2) = 2 r^2. So, the integrand is now 
spherically symmetric as a result of having added up the moment of 
inertia in 3 orthogonal directions. Since these moments of inertia are 
all equal due to spherical symmetry, we have that 3 times the moment of 
inertia is 2 times the integral of r^2, therefore we have:


Iz = 2/3 integral over ball of radius R of r^2 dm

You can then write dm = rho 4 pi r^2 dr and only have an integral over r 
from 0 to R. Even this can be simplified by dividing Iz by M, so that we 
get:


Iz/M = 2/[3 V(R)] Integral over ball of radius R of r^2 dV

We can then insert V(R) = 4/3 pi R^3 and dV = 4 pi r^2 dr and integrate 
over r, but we don't even need to do that. We can simply use the fact 
that V(r) is some constant c times r^3 without bothering to write down 
that constant explicitly:


 Integral over ball of radius R of r^2 dV

= Integral over ball of radius R of d[r^2 V(r)] -  Integral over ball of 
radius R of 2 r V(r) dr =



R^2 V(R) -  2/5 c R^5 = 3/5 R^2 V(R)

So, we have Iz/M = 2/[3 V(R)] 3/5 R^2 V(R) = 2/5 R^2



So, in the entire derivation I only needed to integrate over the radius 
r. That's the whole point of restoring spherical symmetry. Otherwise you 
end up having to evaluate integrals over the angles defined relative to 
the rotation axis. ChatGPT can only do the latter because in its 
database there is only a derivation based on the latter logic presented. 
While there are spruce's in its database that discuss spherical symmetry 
for this case, it can only then talk about that, it is unable to

Re: GPT4 + Mathematica

2023-04-11 Thread smitra

On 10-04-2023 12:34, John Clark wrote:

On Sun, Apr 9, 2023 at 3:11 PM smitra  wrote:


GPT: FOR A SOLID SPHERE OF UNIFORM DENSITY, WE CAN DIVIDE IT

INTO SMALL volume elements, each with mass dm. The volume element
located at a distance r from the center of the sphere has a moment
of inertia relative to the x-axis given by:
dIx = dm * y^2

_> smitra: dIz = dm * (x^2 + y^2)_


I asked  GPT to take a second look at the part where it said "DIX = DM
* Y^2". I did NOT say it was wrong or it had made an error of any
kind, I just asked it to look at it, but nevertheless it knew it had
made a boo-boo. GPT said this:

"GPT: I apologize for the error in my previous response. The correct
expression for the moment of inertia of a small volume element
relative to the x-axis is:

dIx = dm * (y^2 + z^2)

This takes into account the fact that the mass element is not
necessarily located on the y-axis, but rather at a distance y from the
x-axis and at a distance z from the z-axis. Similarly, the moment of
inertia of a small volume element relative to the y-axis is:

dIy = dm * (x^2 + z^2) and the moment of inertia of a small volume
element relative to the z-axis is:

dIz = dm * (x^2 + y^2)

I hope this clarifies the issue. Thank you for bringing it to my
attention."

By the way, the version of GPT I was using was NOT the one that had
the Mathematica plug-in.

 John K ClarkSee what's on my new list at  Extropolis [1]
5vd


So, it has noticed that it used the wrong formulas and it has found the 
correct ones. However, it was not able to do the calculation using 
spherical symmetry. It only noted in the previous answer that the answer 
is spherically symmetric because it doesn't depend on the orientation of 
the axis relative to which the moment of inertia is computed.


So, it tells you the steps to compute the three dimensional integral in 
spherical coordinates, it is unable to see that adding up the three 
moments of inertias about the x, y and z axis yields a spherically 
symmetric expression that can be computed using a one dimensional 
integral over the radius.


Being unable to solve a problem in a much simpler way than the standard 
way is a big red flag against the idea that GPT can do any math at all.


Saibal

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Re: GPT4 + Mathematica

2023-04-09 Thread smitra

On 09-04-2023 19:56, John Clark wrote:

On Sun, Apr 9, 2023 at 12:53 PM smitra  wrote:


For some simple physics or math result consider different

ways of getting to that result where one of these ways is not widely
published and is likely not in GPT's database. Take e.g. different
ways
of computing the moment of inertia of a ball of uniform density of
radius R and mass M (relative to an axis through the center). There
are
many ways to do this, but I've not seen my favorite way of doing
this on
any webpage, which is to restore spherical symmetry by adding up the
three identical moments of inertia relative to 3 orthogonal axes.


I just send this to GPT:

_Me: __Derive the formula for the moment of inertia (relative to an
axis through the center) of a ball of uniform density of radius R and
mass M by adding up the three identical moments of inertia relative to
3 orthogonal axes and restoring spherical symmetry._

_And in less than three seconds it gave me this: _

GPT: To derive the formula for the moment of inertia of a ball of
uniform density, we will start by finding the moment of inertia
relative to three orthogonal axes passing through the center of the
ball. Let's call these axes x, y, and z.

The moment of inertia of a point mass m relative to an axis at a
distance r from the mass is given by:

I = m * r^2

For a solid sphere of uniform density, we can divide it into small
volume elements, each with mass dm. The volume element located at a
distance r from the center of the sphere has a moment of inertia
relative to the x-axis given by:

dIx = dm * y^2


dIx = dm * (y^2 + z^2)

I'm guessing GPT found the formula for the disk in its database and used 
that here


Similarly, the moment of inertia of this volume element relative to
the y-axis is:

dIy = dm * x^2


dIy = dm * (x^2 + z^2)




The moment of inertia relative to the z-axis is:

dIz = dm * r^2



dIz = dm * (x^2 + y^2)


Not r^2 but it's r^2 for a disk wth the z-axis orthogonal to the plane 
of a disk.



where r is the distance from the center of the sphere to the volume
element.

We can express the differential mass element dm in terms of the
density ρ and the volume element dV:

dm = ρ * dV

For a sphere of radius R, the volume element is:

dV = 4/3 * π * r^2 * dr

Substituting dm and dV into the expressions for dIx, dIy, and dIz, and
integrating over the volume of the sphere, we get:

Ix = ∫∫∫ y^2 * ρ * (4/3 * π * r^2 * dr) dV

Iy = ∫∫∫ x^2 * ρ * (4/3 * π * r^2 * dr) dV

Iz = ∫∫∫ r^2 * ρ * (4/3 * π * r^2 * dr) dV

where the limits of integration are:

0 ≤ r ≤ R, 0 ≤ θ ≤ π, 0 ≤ φ ≤ 2π

To simplify these integrals, we can use spherical coordinates, where x
= r sin θ cos φ, y = r sin θ sin φ, and z = r cos θ. The volume
element in spherical coordinates is:

dV = r^2 sin θ dr dθ dφ

Substituting this into the expressions for Ix, Iy, and Iz, we get:

Ix = 2/5 * M * R^2

Iy = 2/5 * M * R^2

Iz = 2/5 * M * R^2


Using the correct formula's that would be the results. But even then 
that's not doing the problem with restrig spehrical symmetry.





where M is the mass of the sphere, given by:

M = ρ * V = 4/3 * π * R^3 * ρ

where V is the volume of the sphere.

Note that Ix = Iy, since the sphere has spherical symmetry, and the
moments of inertia relative to any two orthogonal axes in a plane
perpendicular to the third axis are equal. Therefore, the moment of
inertia of a sphere of uniform density relative to an axis through the
center is:

I = 2/5 * M * R^2

which is the desired formula.

John K ClarkSee what's on my new list at  Extropolis [1]

grxq



So, this shows that GPT does not know what it is doing.

Saibal






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Re: GPT4 + Mathematica

2023-04-09 Thread smitra

On 03-04-2023 22:23, John Clark wrote:

On Sun, Apr 2, 2023 at 5:58 PM smitra  wrote:


While GPT hooked up to Mathematica may greatly improve its

performance,
I would not be impressed when judging that in  terms of approaching
human level cognition.



A long time ago I was teaching a statistical mechanics class, the
students had to do a certain calculation for homework that involved
doing the series expansion of 1/sinh(x) to order x. I was shocked to
see
that none of the students could do it. But some did come up with the

right answer, they had shown some failed attempts and then wrote
that
they used Mathematica and Mathematica says that the answer is  1/x -
x/6
...
The students couldn't do it because they could not use the Taylor
expansion formula due to the singularity at x = 0. Most  students
had
not bothered to think about how to bypass that problem, otherwise at

least a few would have written down the correct derivation


Forget algebra, trigonometry and calculus, even when a human performs
something as basic as long division he's usually just blindly
following an algorithm that he learned in grade school and is not
consciously thinking about why it works. But GPT4 is certainly capable
of providing mathematical proofs if necessary and can show it
understands them by correctly answering questions about them and even
giving the proof in a very different way. I just asked GPT3.5 to give
me Euclid's proof of the infinity of the primes but do so in the form
of a poem, and in less than two seconds this is what it produced, no
doubt GPT4 could do even better. And this is before Mr.GPT got hooked
up with Mathematica:

"In Euclid's time, a great debate was rife,
About the primes that fill the number line,
_SOME CLAIMED THAT THEIR COUNT MUST END IN TIME,_
BUT EUCLID PROVED THEM WRONG WITH REASONS MIGHT.

SUPPOSE WE HAVE A FINITE SET OF PRIMES,
_AND MULTIPLY THEM ALL TO GET A LINE, _
_WE ADD ONE TO THIS PRODUCT, QUITE SUBLIME, _
A new number appears, that's not confined.

This number is not divisible
_BY ANY OF THE PRIMES IN OUR FINITE SET, _
_FOR IF IT WERE, WED REACH A SORRY LIE, _
_That contradicts the number line's duet._

So this new number must be prime indeed,
_AND THUS WEVE FOUND A NEW ONE TO CONCEDE, _
_ADDING IT TO OUR SET, WE THEN PROCEED, _
_To find another prime with the same breed._

_And thus we prove there's infinite primes to find, _
_A TRUTH THAT STANDS THE TEST OF SPACE AND TIME, _
_THE PRIMES ARE INFINITE, IN NUMBER AND KIND, _
_THANKS TO EUCLIDS PROOF, SO CLEAR AND DIVINE."_

John K Clark


GPT used its language skills to morph the standard proof into a poem. It 
is good enough on language to reformulate the text so that its meaning 
doesn't change, but that doesn't imply that it has a good understanding 
of the text.


To test GPT's math skills you need to get it do produce a result that is 
not in its database. The fact that GPT fail at simple arithmetic betrays 
that GPT doesn't understand math. It doesn't have the answers to all 
simple sums in its database and therefore it cannot reproduce such 
results.


I don't have a lot of time to test GPT myself, but you should try the 
following. For some simple physics or math result consider different 
ways of getting to that result where one of these ways is not widely 
published and is likely not in GPT's database. Take e.g. different ways 
of computing the moment of inertia of a ball of uniform density of 
radius R and mass M (relative to an axis through the center). There are 
many ways to do this, but I've not seen my favorite way of doing this on 
any webpage, which is to restore spherical symmetry by adding up the 
three identical moments of inertia relative to 3 orthogonal axes.


Because you are integrating over the square of the distance to each axis 
which is the square of the distance to the origin minus the square of 
the coordinate along that axis, the sum becomes the integral of 2 times 
the squared distance to the center. So, the moment of inertia of a ball 
is given by:


2/3 M integral from 0 to R of 4 pi r^4 dr / (4/3 pi R^3) = 2/5 M R^2

So, we get to a simple one-line derivation that's so simple that I can 
easily do it in my head. But this may not be in GPT's database, and if 
it's not then GPT will fail to reproduce this very simple result while 
it will have no difficulties spewing out the more complex derivations, 
formulate those as poems etc. etc.


There are quite a few of such cases where you have a widely published 
result which is more complicated than the most efficient way of getting 
to that result but with that more efficient way not being widely 
published, so many tests like this van be done.


Saibal





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Re: GPT4 + Mathematica

2023-04-03 Thread smitra

Allan Snyder's research group has done these experiments:

http://www.centreforthemind.com/publications/SavantNumerosity.pdf

http://www.centreforthemind.com/images/savantskills.pdf

Saibal


On 03-04-2023 01:10, Brent Meeker wrote:

That's fascinating.  I had not heard to the magnetic
stimulation/inhibition experiments.  Have you a reference?

Brent

On 4/2/2023 2:58 PM, smitra wrote:
While GPT hooked up to Mathematica may greatly improve its 
performance, I would not be impressed when judging that in  terms of 
approaching human level cognition.


A long time ago I was teaching a statistical mechanics class, the 
students had to do a certain calculation for homework that involved 
doing the series expansion of 1/sinh(x) to order x. I was shocked to 
see that none of the students could do it. But some did come up with 
the right answer, they had shown some failed attempts and then wrote 
that they used Mathematica and Mathematica says that the answer is  
1/x - x/6 ...


The students couldn't do it because they could not use the Taylor 
expansion formula due to the singularity at x = 0. Most  students had 
not bothered to think about how to bypass that problem, otherwise at 
least a few would have written down the correct derivation:


1/sinh(x) = 1/(x + x^3/6 +...) = 1/x 1/(1 + x^2/6 + ...) = 1/x (1 - 
x^2/6 + ...) = 1/x - x/6 +...



Now, I do think that GPT is a great leap forward, I don't want to 
downplay the progress made. But I'm quite skeptical about the idea 
that such systems are approaching human level cognition. The human 
brain is an enormously powerful system, but we don't have free access 
to use the power of our brains to do whatever we want. For example, 
most people cannot multiply two 5 digit numbers in their head, but a 
simple pocket calculator has no problems with that task.


However, some autistic savants do have more of a privileged access to 
use the power of the our brains to do arithmetic. Some of them can do 
calculations that most other people cannot do. In certain tests 
involving magnetic stimulation or inhibition of certain brain parts 
performed on ordinary people, it has been shown that people can 
temporarily gain certain abilities that they normally don't have. For 
example, if you look at a screen with a few hundreds dots on it, can 
you count the number of displayed dots in one second? Most people 
can't, some autistic savants can do this. But in the
experiment with magnetic stimulation or inhibition, the test subjects 
were also able to do this.


When we are consciously using our brains doing complicated things e.g. 
mathematics, then we are using our brains in an extremely inefficient 
way. If we could have an artificial brain similar to our brain but one 
which is completely dedicated to doing mathematics instead of what our 
brains are dedicated to do, then it would be enormously better at math 
than we are. It's then likely that something like the brain of a 
lizard that is fully dedicated to math would already completely 
outclass the world's best mathematicians. Perhaps even the brain of 
insects could perform at the same level of most mathematicians when 
fully dedicated to doing math.


Saibal


On 28-03-2023 23:32, John Clark wrote:

Apparently I'm not the only one who has become obsessed with the
developments in AI that have occurred in the last few weeks, Stephen
Wolfram, the man who developed Mathematica, started Wolfram Alpha, 
and

wrote the book A New Kind Of Science about cellular automation, has
given two very interesting interviews on the subject.  Wolfram wrote 
a

plug-in to connect GPT4 with Mathematica because calculation was the
one thing that GPT4 was not very good at but Mathematica is superb at
it; he describes the experience as  "poking at an alien 
intelligence".


GPT + Wolfram: The Future of AI is Here! [1]

GPT, AI, and AGI with Stephen Wolfram [2]

John K Clark    See what's on my new list at  Extropolis [3]

9eq

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[4]
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Re: GPT4 + Mathematica

2023-04-02 Thread smitra
While GPT hooked up to Mathematica may greatly improve its performance, 
I would not be impressed when judging that in  terms of approaching 
human level cognition.


A long time ago I was teaching a statistical mechanics class, the 
students had to do a certain calculation for homework that involved 
doing the series expansion of 1/sinh(x) to order x. I was shocked to see 
that none of the students could do it. But some did come up with the 
right answer, they had shown some failed attempts and then wrote that 
they used Mathematica and Mathematica says that the answer is  1/x - x/6 
...


The students couldn't do it because they could not use the Taylor 
expansion formula due to the singularity at x = 0. Most  students had 
not bothered to think about how to bypass that problem, otherwise at 
least a few would have written down the correct derivation:


1/sinh(x) = 1/(x + x^3/6 +...) = 1/x 1/(1 + x^2/6 + ...) = 1/x (1 - 
x^2/6 + ...) = 1/x - x/6 +...



Now, I do think that GPT is a great leap forward, I don't want to 
downplay the progress made. But I'm quite skeptical about the idea that 
such systems are approaching human level cognition. The human brain is 
an enormously powerful system, but we don't have free access to use the 
power of our brains to do whatever we want. For example, most people 
cannot multiply two 5 digit numbers in their head, but a simple pocket 
calculator has no problems with that task.


However, some autistic savants do have more of a privileged access to 
use the power of the our brains to do arithmetic. Some of them can do 
calculations that most other people cannot do. In certain tests 
involving magnetic stimulation or inhibition of certain brain parts 
performed on ordinary people, it has been shown that people can 
temporarily gain certain abilities that they normally don't have. For 
example, if you look at a screen with a few hundreds dots on it, can you 
count the number of displayed dots in one second? Most people can't, 
some autistic savants can do this. But in the
experiment with magnetic stimulation or inhibition, the test subjects 
were also able to do this.


When we are consciously using our brains doing complicated things e.g. 
mathematics, then we are using our brains in an extremely inefficient 
way. If we could have an artificial brain similar to our brain but one 
which is completely dedicated to doing mathematics instead of what our 
brains are dedicated to do, then it would be enormously better at math 
than we are. It's then likely that something like the brain of a lizard 
that is fully dedicated to math would already completely outclass the 
world's best mathematicians. Perhaps even the brain of insects could 
perform at the same level of most mathematicians when fully dedicated to 
doing math.


Saibal


On 28-03-2023 23:32, John Clark wrote:

Apparently I'm not the only one who has become obsessed with the
developments in AI that have occurred in the last few weeks, Stephen
Wolfram, the man who developed Mathematica, started Wolfram Alpha, and
wrote the book A New Kind Of Science about cellular automation, has
given two very interesting interviews on the subject.  Wolfram wrote a
plug-in to connect GPT4 with Mathematica because calculation was the
one thing that GPT4 was not very good at but Mathematica is superb at
it; he describes the experience as  "poking at an alien intelligence".

GPT + Wolfram: The Future of AI is Here! [1]

GPT, AI, and AGI with Stephen Wolfram [2]

John K ClarkSee what's on my new list at  Extropolis [3]

9eq

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[4].


Links:
--
[1] https://www.youtube.com/watch?v=z5WZhCBRDpU
[2] https://www.youtube.com/watch?v=szxiPMyuMGY
[3] https://groups.google.com/g/extropolis
[4]
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Re: 4 Tests Reveal Bing (GPT 4) ≈ 114 IQ (last test is nuts)

2023-03-18 Thread smitra
I'll be convinced if they succeed making such a system do original 
research in, say, theoretical physics or mathematics and get lots of 
high quality research results published that gets los of citations for 
groundbreaking work, rather than small improvements of details of 
existing work. If the next Feynman, Einstein, or John on Neumann is an 
AI system then skeptics can continue to argue that the system is still 
just a dumb computer, but the world will then have moved on with those 
AI systems becoming an ever more important part of society.


I'm not convinced that the present GPT systems are demonstrating 
human-level intellect. Our brains are very powerful computers that we 
can use in a very inefficient way to do academic work with. If the brain 
of a lizard were fully dedicated to analyze and process texts instead of 
controlling its body to react optimally to its environment, it would 
likely also perform extremely well compared to these GPT systems.


The way one would be able to see that the system despite performing 
extremely well does not have the intellectual capabilities of a human 
being, would be to follow up on gaps in its knowledge and see if it can 
learn from its mistakes and master new subjects.


So, in the video we see that it got a question wrong because it thought 
that 33 is a prime number. I would be more impressed by a system that 
may make many more mistakes like that than this GPT system made, but 
where there is a follow-up conversation where the mistakes are pointed 
out and the system shows that it has learned and then gets similar 
questions that it would previously have gotten wrong given the previous 
answers, correct.


Saibal




On 16-03-2023 18:30, John Clark wrote:

Forget the Ukraine war, forget climate change, forget Donald Trump, I
now think GPT-4 is by far the most world shaking event and the most
underreported one.  Many of us have been talking about the singularity
for decades, but now it looks like we're on its doorstep. You've got
to look at this video!

4 Tests Reveal Bing (GPT 4) ≈ 114 IQ (last test is nuts) [1]

John K ClarkSee what's on my new list at  Extropolis [2]

cdk

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[3].


Links:
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[1]
https://www.youtube.com/watch?v=xFvDJnf0GXslist=PLYXp_rV1HrBAOZqPJTOSo91275hKQrfplindex=13
[2] https://groups.google.com/g/extropolis
[3]
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Re: Physics Without Probability

2022-11-21 Thread smitra

On 22-11-2022 02:47, Brent Meeker wrote:

On 11/21/2022 5:12 PM, smitra wrote:
The problem lies with the notion of probability, he explains here that 
it cannot refer to anything in the physics world as an exact 
statement:


https://www.youtube.com/watch?v=wfzSE4Hoxbc=1036s

That's then a problem for a fundamental theory of physics as such a 
theory must refer to statements about nature that are exactly true.


Who says so?  Physics never makes exact measurements.  Why should the
theory do something that the physics can't?  Deutsch is like the
scholastics, he thinks physics is just a branch of mathematical logic.

Brent


But physics cannot implement a rigorous notion of probability. So, that 
then makes QM in the traditional formulation problematic.


Saibal

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Re: Physics Without Probability

2022-11-21 Thread smitra

On 22-11-2022 02:45, Bruce Kellett wrote:

On Tue, Nov 22, 2022 at 12:12 PM smitra  wrote:


The problem lies with the notion of probability, he explains here
that
it cannot refer to anything in the physics world as an exact
statement:

https://www.youtube.com/watch?v=wfzSE4Hoxbc=1036s

That's then a problem for a fundamental theory of physics as such a
theory must refer to statements about nature that are exactly true.


No statements in physics are exactly true.

Bruce



The problem with probability is actually the other way around. It's 
impossible to rigorously define probability in purely physical terms. 
Therefore the exact formulation of the laws of physics cannot refer to 
probability.


Saibal


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Re: Physics Without Probability

2022-11-21 Thread smitra
The problem lies with the notion of probability, he explains here that 
it cannot refer to anything in the physics world as an exact statement:


https://www.youtube.com/watch?v=wfzSE4Hoxbc=1036s

That's then a problem for a fundamental theory of physics as such a 
theory must refer to statements about nature that are exactly true.


Saibal



On 22-11-2022 01:08, Brent Meeker wrote:

He's wrong that frequentism does not empirically support probability
statements.  He goes off on a tangent by referring to "other
gamblers".  Nothing in physics is certain, yet Deutsch takes a bunch
of definite assertions and claims they alone are the real physics.

"The race is not always to the swift, nor the battle to the strong,
but that's the way to bet."
--- Damon Runyan

"In the Austin airport on the way to this meeting I noticed for sale
the October issue of a magazine called Astronomy, having on the cover
the
headline “Why You Live in Multiple Universes.” Inside I found a
report of
a discussion at a conference at Stanford, at which Martin Rees said
that
he was sufficiently confident about the multiverse to bet his dog’s
life on
it, while Andrei Linde said he would bet his own life. As for me, I
have
just enough confidence about the multiverse to bet the lives of both
Andrei
Linde and Martin Rees’s dog."
--- Steven Weinberg

Brent

On 11/20/2022 4:28 PM, Bruce Kellett wrote:


On Mon, Nov 21, 2022 at 2:52 AM smitra  wrote:


Probability cannot be a fundamental concept in physics as
explained
here:

https://www.youtube.com/watch?v=wfzSE4Hoxbc


I'm afraid Deutsch is a bit too glib in this lecture. He hasn't,
despite his best efforts, removed probability from physics. For
example, in quantum mechanics, he has not explained why, if one
measures the z-spin of a spin-half particle prepared in an
eigenstate of x-spin, one gets only one result -- either z-spin-up
or z-spin-down. If one has eliminated probability, one should be
able to explain which result one gets, and why. It is no solution to
say that with many-worlds, that both results are obtained by
disjoint copies of the experimenter. The experimenter is just one
copy, and one would have to explain the result for each individual
separately. Many worlds does not explain why I, for example, see
only z-spin-up and not z-spin-down. To make sense of that, we need a
viable concept of probability and the Born rule.

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Re: Physics Without Probability

2022-11-21 Thread smitra

On 21-11-2022 01:28, Bruce Kellett wrote:

On Mon, Nov 21, 2022 at 2:52 AM smitra  wrote:


Probability cannot be a fundamental concept in physics as explained
here:

https://www.youtube.com/watch?v=wfzSE4Hoxbc


I'm afraid Deutsch is a bit too glib in this lecture. He hasn't,
despite his best efforts, removed probability from physics. For
example, in quantum mechanics, he has not explained why, if one
measures the z-spin of a spin-half particle prepared in an eigenstate
of x-spin, one gets only one result -- either z-spin-up or
z-spin-down. If one has eliminated probability, one should be able to
explain which result one gets, and why. It is no solution to say that
with many-worlds, that both results are obtained by disjoint copies of
the experimenter. The experimenter is just one copy, and one would
have to explain the result for each individual separately. Many worlds
does not explain why I, for example, see only z-spin-up and not
z-spin-down. To make sense of that, we need a viable concept of
probability and the Born rule.

Bruce


He has argued that fundamental physics cannot be based on probability, 
it can at best play a role in an effective description of the physical 
world. This excerpt is the most to the point:


https://www.youtube.com/watch?v=wfzSE4Hoxbc=1036s

He then goes on to argue that there is no need to refer to probabilities 
in QM using a decision theoretic argument that does not refer to any 
notion of a probability.


Saibal



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Physics Without Probability

2022-11-20 Thread smitra
Probability cannot be a fundamental concept in physics as explained 
here:


https://www.youtube.com/watch?v=wfzSE4Hoxbc

Saibal

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Re: Apparently objective quantum wave function collapse doesn't occur

2022-10-28 Thread smitra

On 26-10-2022 07:45, Brent Meeker wrote:

On 10/25/2022 4:15 PM, smitra wrote:

On 26-10-2022 00:14, Bruce Kellett wrote:

On Wed, Oct 26, 2022 at 9:00 AM John Clark 
wrote:


On Tue, Oct 25, 2022 at 5:31 PM Bruce Kellett
 wrote:


_> One of the main troubles with this is that the Copenhagen
Interpretation, insofar as there is any such thing, does not
entail that the wave function collapses when the result enters
consciousness. This was a mad idea put forward by Wigner, and it
was soon realized that the idea was just silly, and could never
work. So that idea has long been abandoned. Deutsch's attempted
proof involves comparison with an abandoned idea of quantum
mechanics, so it doesn't really prove anything. Besides, the whole
set-up involves assumptions about quantum computers and
consciousness that are far from obvious, and probably not even
correct._


OK, so forget about consciousness, the fact remains that If you see
interference bands on Deutsch's photographic plate then that would
prove a universe can split and, provided the difference between them
is very small, can under the right conditions become identical again
and thus merge back together. That is the key part of the multiverse
idea and if it's true then there is no need to indulge in the
mumbo-jumbo of Copenhagen quantum complementarity.


That is as much mumbo-jumbo as anything in Copenhagen. For instance,
what determines if the difference between the worlds is small
'enough'? You are using the result of no divergence between worlds to
conclude something about a divergence that probably never occurred. 
It

is simpler to state that no measurement was made in the Deutsch
set-up. Measurement, after all, involves irreversible decoherence, 
and

such cannot be 'quantum erased'. So no which-way measurement would
have been made in the Deutsch experiment. "Measurement" requires the
formation of permanent records in the environment (and many copies of
the result can be formed as well).



There is no such thing as irreversible decoherence in unitary QM. Now, 
you and Brent have invoked the expansion of the universe in past 
discussions to argue that fundamentally irreversible phenomena do 
exist. However this reasoning is flawed, because you then assume a 
semi-classical model where the expansion of the universe is described 
in a classical way. If QM is fundamental, then the entire state of the 
universe, including the space-time geometry is part of that quantum 
description. You then have a wavefunctional that assigns a complex 
amplitude to the entire state of the universe that includes al the 
fields of all particles and also the space-time geometry.


That assumes that the long sought quantum theory of gravity will not
break unitarity.  There are already proposals for this
https://arxiv.org/pdf/2201.11658.pdf

Brent


It's not clear that generalizing from unitary to isometric transforms 
makes much of a difference here for the purpose of getting to a real 
collapse of the wavefunction. ALso, in the article they



Thing is that the laws of physics are what they are. You cannot demand 
that you require measurement results to be truly permanent and that 
they therefore arise due to irreversible processes. Whether that's the 
case or not is determined by the laws of physics, not by us.


Also, in the article they threat the space-time geometry as a classical 
background field, the consider the problem of QFT in an expanding 
universe. It's not clear at all from their proposals how in their 
proposal where the dimension of Hilbert space increases, one would 
quantize gravity.


Saibal

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Re: Apparently objective quantum wave function collapse doesn't occur

2022-10-28 Thread smitra

On 26-10-2022 01:40, Bruce Kellett wrote:

On Wed, Oct 26, 2022 at 10:15 AM smitra  wrote:


On 26-10-2022 00:14, Bruce Kellett wrote:

There is no such thing as irreversible decoherence in unitary QM.
Now,
you and Brent have invoked the expansion of the universe in past
discussions to argue that fundamentally irreversible phenomena do
exist.
However this reasoning is flawed, because you then assume a
semi-classical model where the expansion of the universe is
described in
a classical way. If QM is fundamental, then the entire state of the
universe, including the space-time geometry is part of that quantum
description. You then have a wavefunctional that assigns a complex
amplitude to the entire state of the universe that includes al the
fields of all particles and also the space-time geometry.

Thing is that the laws of physics are what they are. You cannot
demand
that you require measurement results to be truly permanent and that
they
therefore arise due to irreversible processes. Whether that's the
case
or not is determined by the laws of physics, not by us.


The laws of physics tell us that measurements are irreversible.
Unitary evolution is universal only in your imagination. Many Worlds
is an interpretation, not an established fact.

Bruce


The laws of physics as we know them today, rule out the existence of any 
physical process that is fundamentally irreversible. So, measurements 
cannot be irreversible if the known laws of physics are correct. If you 
disagree then it's up to you to point to just a single example of such a 
process and write up an article that proves your point and get that 
published in a per reviewed journal.


Simply saying that QM as traditionally formulated considers measurement 
as a special process that os irreversible, doesn't cut it, because 
measurement is then not treated in terms of the fundamental  dynamics of 
the theory, it is put in in an ad hoc way.


Saibal




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Re: Apparently objective quantum wave function collapse doesn't occur

2022-10-25 Thread smitra

On 26-10-2022 00:14, Bruce Kellett wrote:

On Wed, Oct 26, 2022 at 9:00 AM John Clark 
wrote:


On Tue, Oct 25, 2022 at 5:31 PM Bruce Kellett
 wrote:


_> One of the main troubles with this is that the Copenhagen
Interpretation, insofar as there is any such thing, does not
entail that the wave function collapses when the result enters
consciousness. This was a mad idea put forward by Wigner, and it
was soon realized that the idea was just silly, and could never
work. So that idea has long been abandoned. Deutsch's attempted
proof involves comparison with an abandoned idea of quantum
mechanics, so it doesn't really prove anything. Besides, the whole
set-up involves assumptions about quantum computers and
consciousness that are far from obvious, and probably not even
correct._


OK, so forget about consciousness, the fact remains that If you see
interference bands on Deutsch's photographic plate then that would
prove a universe can split and, provided the difference between them
is very small, can under the right conditions become identical again
and thus merge back together. That is the key part of the multiverse
idea and if it's true then there is no need to indulge in the
mumbo-jumbo of Copenhagen quantum complementarity.


That is as much mumbo-jumbo as anything in Copenhagen. For instance,
what determines if the difference between the worlds is small
'enough'? You are using the result of no divergence between worlds to
conclude something about a divergence that probably never occurred. It
is simpler to state that no measurement was made in the Deutsch
set-up. Measurement, after all, involves irreversible decoherence, and
such cannot be 'quantum erased'. So no which-way measurement would
have been made in the Deutsch experiment. "Measurement" requires the
formation of permanent records in the environment (and many copies of
the result can be formed as well).



There is no such thing as irreversible decoherence in unitary QM. Now, 
you and Brent have invoked the expansion of the universe in past 
discussions to argue that fundamentally irreversible phenomena do exist. 
However this reasoning is flawed, because you then assume a 
semi-classical model where the expansion of the universe is described in 
a classical way. If QM is fundamental, then the entire state of the 
universe, including the space-time geometry is part of that quantum 
description. You then have a wavefunctional that assigns a complex 
amplitude to the entire state of the universe that includes al the 
fields of all particles and also the space-time geometry.



Thing is that the laws of physics are what they are. You cannot demand 
that you require measurement results to be truly permanent and that they 
therefore arise due to irreversible processes. Whether that's the case 
or not is determined by the laws of physics, not by us.


Saibal



So if the experiment was actually performed, what is your guess
would happen, what would you place your money on, would there be
interference bands on that photographic plate or would there not be?
My guess is that you would see interference bands, I would not bet
my life on it or even my house, but I would be willing to bet a
week's salary.


I, too, would expect to see interference bands, because no which-way
measurement would have been made in that set-up.

Bruce

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Re: The code for AGI will be simple

2022-09-09 Thread smitra
This is something that fits in with what I wrote here some time ago 
about insect-level AI taking over from us.


A system with AGI doesn't have to be all that intelligent for it to be 
extremely useful. Today we cannot build a remotely controlled spider 
that could survive in Nature. That little intelligence a spider has is 
the GI it needs to take on the challenges of surviving. If we have 
something similar, say spider level AGI then that's good enough to fully 
automatize our entire economy with. The reason why you can't replace all 
factory worker with machines is due to a lack of even a minimal amount 
of AGI.


So, I think insect-level AGI will cause a rapid transition to a machine 
civilization. This will lead to a new biology of machines with insect 
level intelligence ending up wiping out all life on Earth due to 
pollution, similar to the great oxygenation event:


https://en.wikipedia.org/wiki/Great_Oxidation_Event

And as I pointed out earlier, I think this is a universal phenomena that 
all intelligent life is subject to. The whole point of being intelligent 
is to let as much of the work be done for you by entities that are 
dumber than you. But in that process that leads to faster and faster 
economic growth, its inevitable that at some point you are going to 
crate autonomous systems that will grow exponentially. The point where 
the transition to artificial life starts is going to be close to the 
minimum intelligence level needed for exponential growth.


If you make it hotter and hotter in some closed space, a fire will break 
out, this is going to happen close to the minimum required temperature 
for ignition, not at some extremely high value for the temperature. 
Nature shows us that the minimum amount of intelligence required for 
efficient self-maintenance and reproduction that yields exponential 
growth is very low.


Saibal





On 08-09-2022 14:09, John Clark wrote:

This is an interview of the great computer programmer John Carmack, he
thinks the time when computers can do everything, not just some
things, as good or better than humans is much closer than most people
believe, he thinks there is a 60% chance it will happen by 2030. Like
me Carmack is much more interested in intelligence than consciousness
and has no interest in the "philosophical zombie" argument. As far as
the future history of the human race is concerned the following
quotation is particularly relevant:

"___It seems to me this is the highest leverage moment for a single
individual potentially_ _in the history of the world._ [...]   _I am
not a mad man in saying that the code for artificial General
intelligence is going to be tens of thousands of lines of code, not
millions of lines of code. This is code that conceivably one
individual could write, unliker writing a new web browser or operating
system._"

The code for AGI will be simple [1]

John K ClarkSee what's on my new list at  Extropolis [2]

b30

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Re: Trump and government secrecy

2022-09-01 Thread smitra
Leading GOP politicians such as Lindsey Graham are telling lies about 
the facts of this case, and FOX NEWS is helping to spread all these 
lies. So, I think the current constitutional system cannot survive. A 
constitutional democracy is ultimately a set of rules that everyone 
agrees to stick to. Parties win or lose elections under these rules, but 
they accept the outcome and will only raise objections based on the 
rules, they won't attempt to circumvent the rules to get the outcome 
they want.


Once a major party representing a significant fraction of the population 
no longer accepts all of the rules of the system, then the system will 
collapse. I think the only way to fix the system is for the Democrats to 
make it clear to the GOP that their Administration will no longer 
recognize SCOTUS rulings but will instead appoint an ad-hoc judicial 
committee consisting of independent legal experts and will let that 
committee rule on the cases that go to SCOTUS and stick to whatever that 
committee rules and totally ignore the SCOTUS rulings.


The GOP will then move to impeach the government, but the Democrats will 
be able to block any conviction in the Senate by not attending  (because 
they don't recognize the SCOTUS, they won't take the oath and accept the 
Chief Justice overseeing the impeachment as legitimate) which means that 
the quorum requirement won't be met.


The Democrats can then tell the GOP that they intent to do this unless 
the GOP starts to behave like a normal party again, accepts the system 
as it is and stops railing against it.


Saibal



On 01-09-2022 13:32, John Clark wrote:

Remember the big fuss Donald Trump made over Hillary Clinton's email
server?  The government has 4 general classification levels ,Top
Secret, Secret, Confidential and Sensitive, there was never anything
on Clinton's server that was higher than "sensitive". For a year and a
half the government had been trying to get back classified documents
that Trump has been keeping in cardboard boxes in an unsecured storage
room at his golf club.  Finally on June 3 of this year lawyers for
Trump returned an envelope with a few classified documents in them and
said UNDER OATH that after an "extensive search" that's all the
classified material they could find. However the government received a
tip (from who we do not know) that the lawyers were lying  and there
were more secret documents there. So on August 8 FBI agents raided
Mar-A-Lago and after just a few minutes of searching they found one
document that was "secret" and 5 that were not only top-secret but Top
Secret / Sensitive Compartmented Information (TS/SCI); that means
documents that are only supposed to be looked at in specially prepared
super secure rooms called a SCIF, a Sensitive Compartmented
Information Facility. Mar-A-Lago had a SCIF when Trump was president
but it hasn't had one since he left the presidency and Donald Trump no
longer has the clearance to even read stuff that is "sensitive" , much
less documents marked Secret / Sensitive Compartmented Information
(TS/SCI). Below is a photo taken by the FBI on August 8:

John K ClarkSee what's on my new list at  Extropolis [1]

hct

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Re: Information conservation and irreversibility

2022-08-28 Thread smitra
But then you are describing only part of the system using QM. The whole 
system includes the universe itself, this is described by a 
wavefunctional that assigns amplitudes to entire space-time 
configurations and the fields in it.


Saibal


On 28-08-2022 20:42, Brent Meeker wrote:

But in the mean time the expansion of the universe has moved lots of
what the wave function of the universe beyond our horizon. And what we
can access is not the unitary evolution of what we could earlier.

Brent

On 8/28/2022 1:34 AM, smitra wrote:
It's a unitary map, it will evolve the past state into a superposition 
of many different states. One may argue that this is meaningless, as 
one has to choose a basis. But this is essentially what time evolution 
operator does for you. If you work in a particular basis then applying 
the time evolution operator amounts to changing that basis into 
another basis without affecting the state of the system in any way.


Saibal

On 28-08-2022 00:41, Brent Meeker wrote:
Why do you think the evolution is deterministic of our part of 
universe?


Brent

On 8/27/2022 9:17 AM, smitra wrote:
The time evolution operator maps past states of our universe to 
present states. So, the present state of the universe, which 
includes our conscious experience of the present state was also 
present in the early universe in a nonlocal way where there would be 
no obvious sign of us existing at all.


Saibal

On 27-08-2022 02:44, Brent Meeker wrote:

Even if it were sentient its thoughts would be incomprehensible to
us.

Brent

On 8/26/2022 2:52 AM, John Clark wrote:


On Fri, Aug 26, 2022 at 5:41 AM Lawrence Crowell
 wrote:


_> I do not think much of this idea that the universe is
sentient._


I think the idea is a bit silly because I don't see any way to 
prove

or disprove it even in theory. And in the entire universe the only
thing that I know with absolute certainty is sentient is the 3
pounds of gray goo inside a bone vat that is sitting on my
shoulders.

John K Clark    See what's on my new list at  Extropolis [1]

ibv

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Re: Information conservation and irreversibility

2022-08-28 Thread smitra
It's a unitary map, it will evolve the past state into a superposition 
of many different states. One may argue that this is meaningless, as one 
has to choose a basis. But this is essentially what time evolution 
operator does for you. If you work in a particular basis then applying 
the time evolution operator amounts to changing that basis into another 
basis without affecting the state of the system in any way.


Saibal

On 28-08-2022 00:41, Brent Meeker wrote:
Why do you think the evolution is deterministic of our part of 
universe?


Brent

On 8/27/2022 9:17 AM, smitra wrote:
The time evolution operator maps past states of our universe to 
present states. So, the present state of the universe, which includes 
our conscious experience of the present state was also present in the 
early universe in a nonlocal way where there would be no obvious sign 
of us existing at all.


Saibal

On 27-08-2022 02:44, Brent Meeker wrote:

Even if it were sentient its thoughts would be incomprehensible to
us.

Brent

On 8/26/2022 2:52 AM, John Clark wrote:


On Fri, Aug 26, 2022 at 5:41 AM Lawrence Crowell
 wrote:


_> I do not think much of this idea that the universe is
sentient._


I think the idea is a bit silly because I don't see any way to prove
or disprove it even in theory. And in the entire universe the only
thing that I know with absolute certainty is sentient is the 3
pounds of gray goo inside a bone vat that is sitting on my
shoulders.

John K Clark    See what's on my new list at  Extropolis [1]

ibv

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Re: Information conservation and irreversibility

2022-08-27 Thread smitra
The time evolution operator maps past states of our universe to present 
states. So, the present state of the universe, which includes our 
conscious experience of the present state was also present in the early 
universe in a nonlocal way where there would be no obvious sign of us 
existing at all.


Saibal

On 27-08-2022 02:44, Brent Meeker wrote:

Even if it were sentient its thoughts would be incomprehensible to
us.

Brent

On 8/26/2022 2:52 AM, John Clark wrote:


On Fri, Aug 26, 2022 at 5:41 AM Lawrence Crowell
 wrote:


_> I do not think much of this idea that the universe is
sentient._


I think the idea is a bit silly because I don't see any way to prove
or disprove it even in theory. And in the entire universe the only
thing that I know with absolute certainty is sentient is the 3
pounds of gray goo inside a bone vat that is sitting on my
shoulders.

John K ClarkSee what's on my new list at  Extropolis [1]

ibv

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Re: NYTimes.com: We Need to Talk About How Good A.I. Is Getting

2022-08-25 Thread smitra
If intelligent life that's way more intelligent than insects gets 
replaced by AI systems with insect level intelligence together with all 
other life except microbes on a planet, then they are back where biology 
was in the Cambrian era.


The fundamental issue is that intelligence creatures will create tools 
that will make the work they need to do easier. The tools become ever 
more sophisticated, so that a lot more work can be done. At some point 
we get machines and then we get machines with some level of intelligence 
and then we get to a  point where the machines do all the work 
themselves including the work needed to repair and build themselves. But 
this is going to to be reached when the typical intelligence of the 
machines is way less than that of the intelligent creatures that gave 
rise to the machines.


Saibal





On 25-08-2022 12:12, Telmo Menezes wrote:

I suspect AI is already past insect-level for some tasks, e.g. image
recognition and language understanding. The number of parameters in a
state-of-the-art huge language model or in something like DALL-E 2
means that these are probably already more complex than an insect
nervous system. I might be wrong.

In any case, what I don't understand about the supposed solution to
the "Fermi paradox" is: why would they expect technological-life
evolution to stagnate? In fact I think this reinforces the Fermi
paradox. Why aren't we being visited by alien AIs? Of course the usual
hypothesis apply: the universe is too young, life is to rare, etc etc

Telmo

Am Mi, 24. Aug 2022, um 19:28, schrieb smitra:

Thanks for sharing! My comment on this article:

https://nyti.ms/3dQoxqU#permid=120043436

"It is inevitable that AI systems will end up becoming good enough to
run the economy, repair and reproduce themselves. Biology shows us 
that

this does not require highly intelligent systems. As things stand now,
even insects outperform our best AI systems, but then we may not even
need insect-level intelligence to fully automatize our economy.

This development is then driven by economic growth, it's not something
that's easy to regulate. Companies will use whatever technology is
available to reduce costs and to get to higher profits. The current
climate crisis shows just how hard it is to regulate the rather simple
process of our use of energy to reduce CO2 emissions.

When in the future the economy is run by autonomous machines that
maintain and copy each other while producing all the stuff we consume,
there will exists a new machine biology besides the original biology.
It's then inevitable that the machine biology will not be fully
compatible with the original biology. Toxic compounds are likely to be
produced.

The problem we'll then face is that we'll have even less power to
mitigate such problems than we have now when dealing with our CO2
emissions. It's then likely that the new machine biology will destroy
most of the original biology.

All intelligent life in the universe likely ends in this way. The
takeover by machines with insect-level intelligence or less, then
explains why the galaxy hasn't already been colonized (the so-called
Fermi Paradox)."

Saibal

On 24-08-2022 14:39, John Clark wrote:

Check out this article from The New York Times. Because I'm a
subscriber, you can read it through this gift link without a
subscription.

We Need to Talk About How Good A.I. Is Getting

We’re in a golden age of progress in artificial intelligence. It’s
time to start taking its potential and risks seriously.

https://www.nytimes.com/2022/08/24/technology/ai-technology-progress.html?unlocked_article_code=CEIPuomT1JKd6J17Vw1cRCfTTMQmqxCdw_PIxftm3iWka3DFDmweiPgYCIiG_EPKarskbtp2wzmQRNlGNLggVblq1OhQJUF2UE-ovp6A0twjEhkClLiSDCkwzo6fGvcx6yPrZW20b710ybPitBzZdWLoUKLA1XV2IRI1qJpmaV372SYKlazAReYl3cJsnqt0XuAMTjgFbCCLv_TjGk8-bI3ANkeAn1FwD-JJWjjTnsqe4qYAdWhRClHHRXB44wUs-Y8WeYNXbOukcUlWKIepiq4RC2doMI6iG5YwIoDUnL9gurLMwgeevnYkS2GsPvx_F8Tqd-ALMQ=em-share


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Re: NYTimes.com: We Need to Talk About How Good A.I. Is Getting

2022-08-25 Thread smitra

On 24-08-2022 19:41, John Clark wrote:

On Wed, Aug 24, 2022 at 1:28 PM smitra  wrote:


All intelligent life in the universe likely ends in this way. The

takeover by machines with insect-level intelligence or less, then
explains why the galaxy hasn't already been colonized (the so-called

Fermi Paradox)."


If human beings go extinct because they are outsmarted by something
"_with insect-level intelligence or less_" then they deserve to go
extinct; but I haven't found many insects that can play Chess and GO
at a superhuman level, or make original paintings that are far far
better than anything I can do if I were just told to paint "infinite
joy". This is what a computer thinks it looks like:



We're currently struggling getting climate change under control by 
fixing the way we use energy. What's the intelligence in the system 
responsible for getting fossil fuels out of the ground to generate power 
for our economy? It's far simpler than the metabolic processes in a 
cell.


It's true that we can do amazing things with AI. Of course, an insect 
cannot play chess, but we need to consider here that we're training an 
AI system for some specific task like playing chess, while an insect has 
to do many different tasks that have to do with staying alive. It has to 
find food, stay away from predators etc. etc.


To compare an AI to an insect you must see how well they perform when 
their entire machinery is devoted to the same task. Since we can't hack 
an insect's brain to optimize it for playing chess, we then need to let 
an AI simulate a virtual insect to see how well it performs compared to 
a real insect. There then isn't a big difference in performance anymore. 
We know that real brains function differently from AI systems, AI 
systems use a lot of brute force that real brains are able to avoid:


https://www.technologyreview.com/2018/02/19/145532/why-even-a-moths-brain-is-smarter-than-an-ai/

But this is actually good news, as it means that a lot of progress can 
still be made.


There is no contradiction with an AI being able to do many things better 
than we can. Your brain can also do many things that you can't do well 
consciously. For example, controlling the muscles when you walk is done 
unconsciously. If you had to consciously control all the muscles needed 
for walking including keeping balance, you would be unable to walk. 
Walking would seem to be a task that is way beyond human control.


Saibal






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Re: NYTimes.com: We Need to Talk About How Good A.I. Is Getting

2022-08-24 Thread smitra

Thanks for sharing! My comment on this article:

https://nyti.ms/3dQoxqU#permid=120043436

"It is inevitable that AI systems will end up becoming good enough to 
run the economy, repair and reproduce themselves. Biology shows us that 
this does not require highly intelligent systems. As things stand now,  
even insects outperform our best AI systems, but then we may not even 
need insect-level intelligence to fully automatize our economy.


This development is then driven by economic growth, it's not something 
that's easy to regulate. Companies will use whatever technology is 
available to reduce costs and to get to higher profits. The current 
climate crisis shows just how hard it is to regulate the rather simple 
process of our use of energy to reduce CO2 emissions.


When in the future the economy is run by autonomous machines that 
maintain and copy each other while producing all the stuff we consume, 
there will exists a new machine biology besides the original biology. 
It's then inevitable that the machine biology will not be fully 
compatible with the original biology. Toxic compounds are likely to be 
produced.


The problem we'll then face is that we'll have even less power to 
mitigate such problems than we have now when dealing with our CO2 
emissions. It's then likely that the new machine biology will destroy 
most of the original biology.


All intelligent life in the universe likely ends in this way. The 
takeover by machines with insect-level intelligence or less, then 
explains why the galaxy hasn't already been colonized (the so-called  
Fermi Paradox)."


Saibal

On 24-08-2022 14:39, John Clark wrote:

Check out this article from The New York Times. Because I'm a
subscriber, you can read it through this gift link without a
subscription.

We Need to Talk About How Good A.I. Is Getting

We’re in a golden age of progress in artificial intelligence. It’s
time to start taking its potential and risks seriously.

https://www.nytimes.com/2022/08/24/technology/ai-technology-progress.html?unlocked_article_code=CEIPuomT1JKd6J17Vw1cRCfTTMQmqxCdw_PIxftm3iWka3DFDmweiPgYCIiG_EPKarskbtp2wzmQRNlGNLggVblq1OhQJUF2UE-ovp6A0twjEhkClLiSDCkwzo6fGvcx6yPrZW20b710ybPitBzZdWLoUKLA1XV2IRI1qJpmaV372SYKlazAReYl3cJsnqt0XuAMTjgFbCCLv_TjGk8-bI3ANkeAn1FwD-JJWjjTnsqe4qYAdWhRClHHRXB44wUs-Y8WeYNXbOukcUlWKIepiq4RC2doMI6iG5YwIoDUnL9gurLMwgeevnYkS2GsPvx_F8Tqd-ALMQ=em-share


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Re: What Threshold Threat of CO2

2022-08-21 Thread smitra

https://www.quantamagazine.org/cloud-loss-could-add-8-degrees-to-global-warming-20190225/

"Climate physicists at the California Institute of Technology performed 
a state-of-the-art simulation of stratocumulus clouds, the low-lying, 
blankety kind that have by far the largest cooling effect on the planet. 
The simulation revealed a tipping point: a level of warming at which 
stratocumulus clouds break up altogether. The disappearance occurs when 
the concentration of CO2 in the simulated atmosphere reaches 1,200 parts 
per million — a level that fossil fuel burning could push us past in 
about a century, under “business-as-usual” emissions scenarios. In the 
simulation, when the tipping point is breached, Earth’s temperature 
soars 8 degrees Celsius, in addition to the 4 degrees of warming or more 
caused by the CO2 directly.


Once clouds go away, the simulated climate “goes over a cliff,” said 
Kerry Emanuel, a climate scientist at the Massachusetts Institute of 
Technology. A leading authority on atmospheric physics, Emanuel called 
the new findings “very plausible,” though, as he noted, scientists must 
now make an effort to independently replicate the work.


To imagine 12 degrees of warming, think of crocodiles swimming in the 
Arctic and of the scorched, mostly lifeless equatorial regions during 
the PETM. If carbon emissions aren’t curbed quickly enough and the 
tipping point is breached, “that would be truly devastating climate 
change,” said Caltech’s Tapio Schneider, who performed the new 
simulation with Colleen Kaul and Kyle Pressel.


Huber said the stratocumulus tipping point helps explain the volatility 
that’s evident in the paleoclimate record. He thinks it might be one of 
many unknown instabilities in Earth’s climate. “Schneider and co-authors 
have cracked open Pandora’s box of potential climate surprises,” he 
said, adding that, as the mechanisms behind vanishing clouds become 
clear, “all of a sudden this enormous sensitivity that is apparent from 
past climates isn’t something that’s just in the past. It becomes a 
vision of the future.”"


Saibal



On 18-08-2022 16:42, Philip Benjamin wrote:

WHAT THRESHOLD THREAT OF CO2 FROM CLIMATE CHANGE?

https://news.yahoo.com/solar-storm-strike-earth-direct-101857176.html
"Solar storm about to strike Earth in a direct hit" Adam Smith Mon,
July 18, 2022 at 5:18 AM Solar effects (sunspots, solar storms etc.)
etc. will certainly affect the wind systems of the globe. That has
nothing to do with CO2 quantities!! The pseudoscience of climatology
(not meteorology) which is now an integral part of a worldwide pagan
religion, contrary to the  Augustinian 'awakened' consciousness.
(https://www.midwestaugustinians.org/conversion-of-st-augustine,
https://www.history.com/topics/british-history/great-awakening).

An estimated 1,050 wildfires worldwide produced global CO2
emissions of 76 billion tons in 2021. That is on the average ~ 3
forest  fires each day, producing ~ 78 billion tons of CO2/day. The
petroleum burning per year is 5.1/ 150 =  ~  1/30 = ~ 0.03 trillion
tons of CO2 = 3 x 10^-2 x10^12 = ~ 30 billion tons of CO2/year. Which
is a threat?   What is the threshold of CO2 doom?

https://earthobservatory.nasa.gov/images/8349/cold-and-snow
[1]. The climatic SNOW LINE is about 15,000 ft above sea level at the
equator and 19,000 ft in the Himalayas. It is progressively lower as
the latitude increases, to just below 9,800 ft in the Alps. The
reduced volume of melting of _glaciers & icebergs (about 90% below the
water surface) can only lower the sea level.  The melting of_ mountain
ice alone cannot dangerously raise the sea level; for those very
powerful forces (not by CO2 !!) will be required to bring up the
humongous subterranean water beds.

   Destroy the petroleum industries, then even the battery
industry will be destroyed because some of the 6000 byproducts of
petroleum are indispensable for battery production also. Industries
cannot keep an oil refinery open just for batteries! Automobile
battery alone may then cost prohibitively high.

Philip Benjamin

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Re: Information conservation and irreversibility

2022-08-04 Thread smitra

On 04-08-2022 17:41, Alan Grayson wrote:

I recall Bruce giving an example of an irreversible process, but I
can't recall the details. AG



Probably a FAPP irreversible process.

Saibal



On Thursday, August 4, 2022 at 6:39:04 AM UTC-6 Jason wrote:


On Thu, Aug 4, 2022, 5:23 AM Alan Grayson 
wrote:

I meant to write that information conservation depends on

reversibility! How solid is that assumption? AG

I think it is pretty good.

I think reversibility is part of it. Certainly in a reversable
Newtonian kind of physics (no GR and no QM, full determinism),
reversability would imply an inability to destroy information.

In reversible computers, information can't be deleted, only shuffled
around, so in this simplistic model, reversibility (in a Turing
machine) implies conservation of information.

In GR, matter falling into black holes was originally thought to be
an irreversible process. This led to the "black hole war".
https://en.wikipedia.org/wiki/The_Black_Hole_War which was
eventually settled by concluding information isn't destroyed in a
black hole, therefore the pattern of black hole radiation must
somehow indicate or encode what has fallen in to it.

In QM, wave function collapse was thought to be an example of an
irreversible process. Yet from the global view of all the branches
and many world's it is not.

But moreover, despite the apparent irreversibility if collapse from
the confines of any one branch, the information available within any
single branch still seems to be conserved (just as matter and energy
are). This lead to a kind of: energy-matter-information equivalence.


https://en.wikipedia.org/wiki/Holographic_principle#Energy,_matter,_and_information_equivalence


This question, I think, probes at the very deepest levels of
physics. I have some more thoughts on this written here:



https://alwaysasking.com/why-does-anything-exist/#Information_as_Fundamental


Jason


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Re: The collapse of bitcoin

2022-07-31 Thread smitra
If a multiverse exists then there are worlds where Hal Finney = Satoshi 
Nakamoto and as long as you don't have any information that refutes 
this, you have exact copies in such worlds.


Saibal

On 31-07-2022 13:22, John Clark wrote:

On Tue, Jul 12, 2022 at 8:33 PM  wrote:


_> The aha on your energy observation seemingly would be resolved by
huge electricity making. I will list the electricity makings that
are likely to be ginormous if perfected?_


That won't help because the energy cost involved in making a bitcoin
is also increasing and it's increasing exponentially; there will never
be more than 21 million bitcoins in the world because if there are 21
million of them the energy needed to make another one is infinite.
Bitcoin is inherently energy inefficient and its inefficiency can only
increase.

Other than it's inventor Satoshi Nakamoto the very first person to
ever mint a bitcoin was Hal Finney in 2009, back then a typical home
computer could make a bitcoin in just a few minutes, I remember he
said on the Extropian mailing list I was on at the time that on a whim
he once left his computer on overnight minting bitcoins. He claims
that after that he forgot all about it but soon after he was faced
with huge medical bills because he was diagnosed with ALS, the same
disease Stephen Hawkings had, and about the same time he started
reading about the huge increase in the price of Bitcoins. Finney no
longer used that old obsolete computer but he still had it at the back
of his closet, and the Bitcoins were still on the hard drive, they
were more than enough to pay for his medical expenses.

Finney died in 2014 and to this day some people think he actually was
Satoshi Nakamoto. It may be a coincidence that Nakamoto stopped
posting and disappeared about the same time Finney got sick, or it may
not be, but it would explain why although he owns billions of dollars
worth of bitcoins not a single one has ever been spent by somebody who
controls the Bitcoin account of "Satoshi Nakamoto". Even after this
recent price collapse Nakamoto is still one of the richest men in the
world, and yet he doesn't seem to have ever spent a single nickel of
his vast fortune. It's weird.

   John K ClarkSee what's on my new list at  Extropolis [1]
3ch

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Re: The collapse of bitcoin

2022-07-31 Thread smitra

Warren Buffett's take on this:

https://www.youtube.com/watch?v=HVm7Pfb0ilY

Saibal

On 12-07-2022 17:26, Lawrence Crowell wrote:

Currencies are in some ways just as artificial as cryptocurrencies. In
fact, most everything humans chase after is spun up as whole cloth,
from countries, to gods, to money to belief in comrades in arms and so
forth. Most everything humanity does is ultimately fake. Money is
stuff we just "make up." Even the value of gold is something we "make
up." We might be better off if we stopped making this crap up.

 However, with currencies at least in a representative system the
average person has some impact. The crypto-currency trend has been the
culmination of Milton Friedman's strange dream of privatizing almost
everything. In that setting the average person only has as much power
in the system as what they hold. An Elon Musk or Bezos etc has vastly
more and so they not only have more power, they have more power to get
more. A world of complete private forms of currencies is one that will
lead to a sort of monetary feudalism. There will at some point be a
few people, financial institutions and banks that own it all. They
would come to be the overlords of the world.

 The collapse of the cryptocurrencies and bitcoin is something of some
relief to me. The next dark age may be forestalled a few years at
least.

 LC

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Re: China

2022-07-27 Thread smitra

https://www.bbc.com/news/world-us-canada-62310576

""If Pelosi visits Taiwan, [People's Liberation Army] military aircraft 
will accompany Pelosi's plane to enter the island, making a historic 
crossing of the island by military aircraft from mainland for the 1st 
time," Hu Xijin wrote."


So, I guess her plane will be intercepted and use as a pawn in a 
standoff between the Chinese air force and the Taiwanese air force. 
Chinese warplanes will fly very close to Pelosi's plane, attempting to 
escort her plane to Taiwan. The Taiwanese air force will then have a 
difficult time intercepting the Chinese warplanes without blocking 
Pelosi's plane from being able to visit Taiwan. Taiwan would certainly 
not risk trying to shoot a Chinese plane down, as that would risk 
hitting Pelosi's plane.


Saibal


On 27-07-2022 13:30, John Clark wrote:

On Tue, Jul 26, 2022 at 10:32 PM  wrote:


_ > Based on what almost all China hands have said, the weaker you
behave toward the CCP the more they will pick the best time to
advance against you, and do so. Question. Pelosi to Taiwan? Yes._


OK, but I'm gonna remember what you said, so if she takes the trip and
everything goes to hell I don't wanna hear any crap from you about how
the Democrats started a war.  As for myself, I'm unsure if she should
go or not, it would be a strong sign of support for Taiwan which would
be a good thing but I think the personal factor is more important than
you seem to; as I said, most dictators would rather destroy the world
than be embarrassed and I'm not sure if Xi is an exception. The only
thing I'm certain of is that whatever she does most Republicans will
say she did the wrong thing.


The corporate boards that fund both parties are assholes as far as

US survival goes. If the US gets destroyed by a nuclear attack, they
plan (unrealistically) to set up shop elsewhere, perhaps under the
benevolence of Comrade Xi.


Don't be ridiculous.

   John K ClarkSee what's on my new list at  Extropolis [1]

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Re: 10-second one-legged stance performance predicts survival in middle-aged and older individuals

2022-06-28 Thread smitra
Makes sense to me. If you fail that test you are very frail. Staying 
active is the best way to prolong your life:


https://www.bbc.com/worklife/article/20180710-whats-it-like-working-past-your-100th-birthday

"And while retiring early is generally thought to be better for your 
health, in some circumstances giving up work might achieve the opposite. 
One study of blue collar workers in Austria found that men who retired 
three and a half years early were 13% more likely to die by the age of 
67 – particularly if they were single, lonely and used it as an 
opportunity to reduce their physical activity.


South-west of Japan’s main islands, in the East China Sea, is a tropical 
outpost that seems to back this up. Okinawa is famed for its high 
proportion of centenarians; it’s been estimated that roughly one in 
every 2,000 people there are over the age of 100.


Over the years, researchers studying this remarkable place have noticed 
several aspects of the Okinawan lifestyle that might explain their 
longevity. These include eating lots of vegetables and fewer calories 
overall than the average American – but also their attitude to work.


There is no word for “retirement” in the Okinawan language; the locals, 
many of whom grew up as farmers and fisherpeople, may carry on working 
until they die. Elderly residents live by the principle of “ikigai”, 
which is loosely translated as “having a reason to get up in the 
morning”. "


https://www.bbc.com/news/health-43308729

"Doing lots of exercise in older age can prevent the immune system from 
declining and protect people against infections, scientists say.


They followed 125 long-distance cyclists, some now in their 80s, and 
found they had the immune systems of 20-year-olds.


Prof Norman Lazarus, 82, of King's College London, who took part in and 
co-authored the research, said: "If exercise was a pill, everyone would 
be taking it.


"It has wide-ranging benefits for the body, the mind, for our muscles 
and our immune system."


The research was published in the journal Aging Cell.

Prof Janet Lord, director of the Institute of Inflammation and Ageing, 
at the University of Birmingham, and co-author of the research, said: 
"The immune system declines by about 2-3% a year from our 20s, which is 
why older people are more susceptible to infections, conditions like 
rheumatoid arthritis and, potentially, cancer.


"Because the cyclists have the immune system of a 20-year-old rather 
than a 70- or 80-year-old, it means they have added protection against 
all these issues.""


Saibal



On 27-06-2022 19:14, Lawrence Crowell wrote:

I can do that. I just did it for about 30 seconds.

LC

On Friday, June 24, 2022 at 1:53:22 PM UTC-5 medinuclear wrote:


FROM: Philip Benjamin Friday, June 24, 2022 9:37 AM

SUBJECT: 10-second one-legged stance performance predicts survival
in middle-aged and older individuals



https://www.msn.com/en-us/health/wellness/balancing-on-one-leg-for-10-seconds-may-predict-likelihood-of-living-or-dying-study-says/





https://bjsm.bmj.com/content/bjsports/early/2022/06/22/bjsports-2021-105360.full.pdf



Successful 10-second one-legged stance performance

predicts survival in middle-aged and older individuals

Claudio Gil Araujo , Christina Grüne de Souza e Silva ,

Jari Antero Laukkanen , Maria Fiatarone Singh,

Setor Kwadzo Kunutsor , Jonathan Myers ,

João Felipe Franca ,Claudia Lucia Castro


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Re: WOW, it looks like the technological singularity is just about here!

2022-06-14 Thread smitra

On 14-06-2022 14:18, John Clark wrote:

On Mon, Jun 13, 2022 at 9:51 PM Bruce Kellett 
wrote:


I doubt Lemoine went crazy and just fabricated the

conversation, but if he did the truth will undoubtedly come out in
a day or two. And if the conversation exists as advertised then it
is a monumental development.


_> The thing is that there are an awful lot of questions that remain
unanswered in the information as presented. We don't actually know
how lambda works._


If the conversation was as described and was not somehow staged or
cherry-picked then LaMDA is a real AI and nobody knows or will ever
know how LaMDA or any AI works except in vastly oversimplified
outline. The group of people who originally made LaMDA taken together
understood how it once worked (although no single person did) but no
individual or group of individuals can understand what it became.

And if the conversation was staged or cherry-picked then I don't
understand why Google hasn't said so by now, after all the longer they
delay the more foolish they will seem when the truth comes out, and if
LaMDA is not what it seems then it's only a matter of time, and not
much time, before the truth comes out.

 John K ClarkSee what's on my new list at  Extropolis [1]



LaMDA is fed English texts as raw input data and processing it, which 
means that it is treating what to us would be very high level 
information, as low level information. So, I would guess that if LaMDA 
is experiencing anything, its not going to be the meaning of the texts. 
If we treat English words as fundamental, then there exists a state 
space all possible texts, the rules of English language are the 
effective laws of physics that apply to such a space. So, LaMDA may be 
experiencing such a virtual world.


Saibal





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Re: Self-Replicating Robots and Galactic Domination

2022-05-22 Thread smitra

John Clark schreef op 19 mei '22:


On Thu, May 19, 2022 at 11:41 AM smitra  wrote:

*>  AI systems have still insect-level intelligence.*

10 years ago that might've been true, maybe even five, but not today.


There has been a lot of progress in recent years. The problem with AI is 
that we cannot build the right sort of hardware, making the systems we 
have rather inefficient. We may now have systems that rival or exceed 
insect brain power, but only using very large and computationally 
inefficient systems.





* > The self-replicating machines will produce whatever chemical
wasteproducts they can live with and they will be too dumb to realize 
that

they are killing everything else.*


If an AI decides to kill all biological life it won't be because it's 
stupid,
and even if they do decide to do that it wouldn't explain why we don't 
see
an engineered universe when we look at the night sky. Somebody has to 
be

the first and I think it must be us.



Most living organisms on Earth today are not very intelligent at all. 
So, AI systems under development may soon be good enough to build 
self-replicating machinery for fully automated factories with. The AI 
systems running these factories don't need to be much smarter than 
insects. Such factories will outcompete conventional factories, so 
within a very short time period, most of our economy will run on such AI 
systems.


The fact that many people have the ambition to build AI systems with 
human-level intelligence or even more, is also true, but that's not 
going to stop the use of insect-level AI systems in fully automated 
factories. What may then happen is that we gradually lose control over 
the self-replicating systems running the economy. Waste products 
produced by the system accumulate, so it becomes like a cancer killing 
the entire biosphere.


If this sounds far-fetched, note that the current climate crisis is due 
to our economy producing CO2 and our resistance to reduce CO2 emissions. 
We find it difficult to reduce CO2 emissions because we need to take 
measures that will reduce out wealth to a limited degree (on the short 
term). If we have difficulties doing this for such a simple system 
(fossil fuels taken from the ground, burned in power plants to generate 
power) that can easily be modified without ruining the economy, think 
about how difficult it would be for the next generations to intervene in 
a system of self-replicating factories that starts to grow a bit out of 
control, producing toxic chemicals.


They'll have the choice of adapting to live in a polluted world and 
still enjoy their enormous wealth without having to work for it, or go 
back to the sort of civilization we live in where you have to work hard 
to get a bit more than your basic needs. Given that it took us more than 
40 years to finally do something about our CO2 emissions, I don't think 
we can be very confident that they'll promptly revert to the old way of 
living. A big obstacle being also that just like in case of climate 
change, this requires a global consensus. It's no good if China decides 
that self-replicating machines are with the pollution they produce and 
then refuses to put a stop to using them.


So, I see this as just another phase in the evolution of life where 
technological lifeform arise and end up replacing all biological 
lifeforms except microbes.


Saibal




John K ClarkSee what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>
fal


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Re: Self-Replicating Robots and Galactic Domination

2022-05-19 Thread smitra

On 19-05-2022 12:54, John Clark wrote:

Self-Replicating Robots and Galactic Domination [1]



We're now producing very smart AI systems that can replace humans, but 
those AI systems have still insect-level intelligence. So, while a 
technological civilization like ours will get transformed into a machine 
civilization due to economic growth, the self-replicating machines that 
will arise will be rather dumb machines. They are then likely to destroy 
all biological life forms, analogous to what happened when oxygen 
producing microbes arose about 2.4 billion years ago:


https://en.wikipedia.org/wiki/Great_Oxidation_Event

The self-replicating machines will produce whatever chemical waste 
products they can live with and they will be too dumb to realize that 
they are killing everything else.


Saibal


John K Clark

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-15 Thread smitra

On 15-05-2022 09:30, Bruce Kellett wrote:

On Sun, May 15, 2022 at 5:11 PM smitra  wrote:


On 15-05-2022 00:55, Bruce Kellett wrote:

On Sun, May 15, 2022 at 1:17 AM smitra  wrote:


The big advantage is that decoherence is a well researched area

of

(mathematical) physics, results like the density matrix becoming
approximately diagonal, and relations between decoherence to

entropy

increase making it effectively irreversible are all rigorous

results


that are uncontroversial. People may still have objections

against the

MWI, but they'll still accept these results on decoherence.


Yes. And decoherence says that with time, the off-diagonal

elements of

the density matrix become arbitrarily small. If there is a

smallest

non-zero probability, then eventually these off-diagonal elements
become zero. This reduces the pure state to a mixture. Which is to

say

that there is a collapse; unitary evolution ceases, and  we have
reached a classical world.


Non-zero minimum probability on its own, however, does not cause

a

system to evolve in a non-unitary way.


It does when decoherence is taken into account. See the above
explanation. Bruce has not omitted anything.

Bruce


I see, but these sorts of models can already be ruled out. There are

plenty of simple systems where one can make extremely accurate
measurements on which can be kept totally isolated and quantum
coherent
for long enough where such effects would have become visible.


The effects are due to decoherent entanglement with the environment.
So of course they are not seen in isolated systems. Duh.



If you don't trace over environmental degrees of freedom and include 
everything in your description, then you just have a unitary evolution 
operator U for a time step delta t. The evolution operator for n time 
steps is U^n, which is unitary if U is unitary. The question is how we 
end up with a non-unitary result this way. Your answer will then 
probably be that we must modify this rule and remove entries in the 
matrix U^n that are below some small cutoff value. If this is then the 
general rule for the time evolution of quantum systems, then this can be 
verified in the lab.


Saibal



Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-15 Thread smitra

On 15-05-2022 05:11, Brent Meeker wrote:

On 5/14/2022 3:55 PM, Bruce Kellett wrote:


On Sun, May 15, 2022 at 1:17 AM smitra  wrote:


On 13-05-2022 21:59, Brent Meeker wrote:


Right CI doesn't explain the collapse and MWI doesn't explain

the

collapse either but assumes it can be explained without new

physics.

I hypothesize (not assume) that CI+ 
probability> can

explain the collapse.  I don't see any big advantage for MWI

here.

The big advantage is that decoherence is a well researched area of

(mathematical) physics, results like the density matrix becoming
approximately diagonal, and relations between decoherence to
entropy
increase making it effectively irreversible are all rigorous
results
that are uncontroversial.


But it is more than "effectively" irreversible because decohering
information spreads at the speed of light, and in an expanding
universe cannot be captured and reversed.  This why I think there is
some relation between the holographic principle, expansion of the
universe, Hawking-Bekenstien entropy, and a non-zero minimum
probability.



It's still only effectively irreversible because nothing stops one from 
reflecting all the escaping photons back. If we use mirrors that are 
cooled to almost absolute zero, then the leakage of information from the 
interior that results from having carried out a spin measurement there 
can be made arbitrarily small, so the probability that the information 
escapes from the confined region can be made arbitrarily small. There is 
no connection between our ability to observe something and the processes 
involved in making sure the photons don't escape, so whether or not 
there are actually these supercool mirrors reflecting all the photons 
back to recreate the initial state cannot be relevant.


Saibal



Brent


People may still have objections against the
MWI, but they'll still accept these results on decoherence.


Yes. And decoherence says that with time, the off-diagonal elements
of the density matrix become arbitrarily small. If there is a
smallest non-zero probability, then eventually these off-diagonal
elements become zero. This reduces the pure state to a mixture.
Which is to say that there is a collapse; unitary evolution ceases,
and  we have reached a classical world.


Non-zero minimum probability on its own, however, does not cause a

system to evolve in a non-unitary way.


It does when decoherence is taken into account. See the above
explanation. Bruce has not omitted anything.

Bruce


Bruce is omitting something here,
perhaps some limits in which the time evolution operator becomes
degenerate or something like that. But a product of two unitary
transforms is a unitary transform, so the nth power of a unitary
transform is also a unitary transform. There is no ay you can get
anything non-unitary out of this, unless possibly in the limit of
n to
infinity.

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-15 Thread smitra

On 15-05-2022 00:55, Bruce Kellett wrote:

On Sun, May 15, 2022 at 1:17 AM smitra  wrote:


On 13-05-2022 21:59, Brent Meeker wrote:


Right CI doesn't explain the collapse and MWI doesn't explain the
collapse either but assumes it can be explained without new

physics.

I hypothesize (not assume) that CI+ 

can

explain the collapse.  I don't see any big advantage for MWI here.


The big advantage is that decoherence is a well researched area of
(mathematical) physics, results like the density matrix becoming
approximately diagonal, and relations between decoherence to entropy

increase making it effectively irreversible are all rigorous results

that are uncontroversial. People may still have objections against
the
MWI, but they'll still accept these results on decoherence.


Yes. And decoherence says that with time, the off-diagonal elements of
the density matrix become arbitrarily small. If there is a smallest
non-zero probability, then eventually these off-diagonal elements
become zero. This reduces the pure state to a mixture. Which is to say
that there is a collapse; unitary evolution ceases, and  we have
reached a classical world.


Non-zero minimum probability on its own, however, does not cause a
system to evolve in a non-unitary way.


It does when decoherence is taken into account. See the above
explanation. Bruce has not omitted anything.

Bruce


I see, but these sorts of models can already be ruled out. There are 
plenty of simple systems where one can make extremely accurate 
measurements on which can be kept totally isolated and quantum coherent 
for long enough where such effects would have become visible.


Saibal

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-15 Thread smitra

On 14-05-2022 21:11, Brent Meeker wrote:

On 5/14/2022 8:16 AM, smitra wrote:

On 13-05-2022 21:59, Brent Meeker wrote:

On 5/13/2022 12:32 PM, smitra wrote:

On 12-05-2022 22:27, Brent Meeker wrote:

On 5/12/2022 11:42 AM, smitra wrote:


All that the experiments demonstrate is that the wave function
evolves
unitarily between state preparation and measurement. This is most
easily accounted for by assuming that the wave function is a
purely
epistemic vehicle for the time evolution of probabilities. Since
it is
purely epistemic, collapse is not a problem since it is not a
physical
event. One does not have to go the whole way to QBism -- the wave
function can still be objective (inter-subjectively agreed).


That's possible but that means that QM is not a complete 
fundamental

theory of reality. Anything that explains these probabilities is
then possible, including the existence of a multiverse.


Which is about as explanatory as "God did it."  Explaining the 
values
of the probabilities isn't the problem with MWI,  it's explaining 
that

there ARE probabilities even though nothing happens, and when and
where the probabilities arise.



I agree with what John Clark said in his reply.

To add to that, the "God did it" thing applies far more to the CI, 
because there one postulates the collapse without explaining the 
mechanism for it. In the MWI one assumes that the appearance of 
collapse can be explained from the known dynamics.


Right CI doesn't explain the collapse and MWI doesn't explain the
collapse either but assumes it can be explained without new physics.
I hypothesize (not assume) that CI+  
can

explain the collapse.  I don't see any big advantage for MWI here.


The big advantage is that decoherence is a well researched area of 
(mathematical) physics, results like the density matrix becoming 
approximately diagonal, and relations between decoherence to entropy 
increase making it effectively irreversible are all rigorous results 
that are uncontroversial. People may still have objections against the 
MWI, but they'll still accept these results on decoherence.


Non-zero minimum probability on its own, however, does not cause a 
system to evolve in a non-unitary way. Bruce is omitting something 
here, perhaps some limits in which the time evolution operator becomes 
degenerate or something like that. But a product of two unitary 
transforms is a unitary transform, so the nth power of a unitary 
transform is also a unitary transform. There is no ay you can get 
anything non-unitary out of this, unless possibly in the limit of n to 
infinity.



  My
attitude toward interpretations is that they are unimportant in
themselves, but they are useful in pointing to new, more 
comprehensive

and accurate theories.  That's one reason I'm not impressed by MWI
since it seems to ex hypothesi put any emprical testing out of reach.



But that's because MWI amounts to omitting something from a theory 
that's not needed.


But something is needed.  The appearance of the classical world we
experience (as well as quantum gravity, which maybe unrelated).



There is no evidence for any additional dynamic rule that induces 
collapse. Evidence that it is actually needed can come from experiments 
that demonstrates faster decoherence than what one would expect given 
the theoretical modeling based on assuming only the usual unitary time 
evolution.


Saibal



Brent

It's like what would have happened if Einstein had formulated his 
theory of special relativity but he had kept the ether to serve as the 
medium with strange properties such that you still have the 
equivalence of inertial frames. If you then had formulated your 
alternative version of special relativity by saying that the ether 
doesn't exist, then people who would have stuck to the idea what an 
ether must exist could have argued in the same way, i.e. that you are 
not adding anything that can be tested experimentally.


Saibal


Brent

Those explanations may not be satisfactory as of yet, but that's 
typical for most of science. There are phenomena that as of yet are 
not well explained, but that does not (necessarily) lead us to 
postulate new physics all the time. Doing so would make us like 
creationists who tend to invoke a "God of the gaps".


Saibal



Brent

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-14 Thread smitra

On 14-05-2022 03:06, Bruce Kellett wrote:

On Sat, May 14, 2022 at 5:51 AM smitra  wrote:


On 12-05-2022 22:18, Brent Meeker wrote:


I agree.  And in fact SE fails all the time.  It fails to predict

a

definite outcome...which is OK if you accept probabilistic

theories.

Physics doesn't work in this way. You always need to define a well
defined hypothesis first in order to interpret experimental results
and
be able to test various alternative hypotheses/theories. If you
don't do
this, you are not doing physics.


Tell that to the army of people who pounce on every anomaly that
appears in analyses of partial data from the LHC or Tevatron. Every
anomaly produces a slew of papers, all proposing "explanations" of the
anomaly. This is an industry, it is not physics. Generally the
anomalies go away with time and further data -- there are no "well
defined hypotheses" at work here.



These are well defined hypotheses. They then explain the anomaly, but 
not much else. They are not going to be accepted as a promising 
candidate for a new theory unless a lot more experimental data comes in 
to confirm one of them.




But then its real failure is that it doesn't tell you exactly when

and

where and why it stops unitary evolution and produces a result.


That's a failure of particular interpretations of QM, e.g. the CI
that
postulate collapse.


The Born rule tells us the probability of a result...IF there is

one.

Decoherence tells there's an asymptotic approach to a result and
why...but not when and where it arrives.


Decoherence does does tell you how the different sectors split over
time.


Not if unitary evolution is exact and always. You have often argued
that the original superposition never really goes away. Strictly, that
means that the initial state is still intact, and nothing has in fact
happened.


Why would nothing have happened? The observer is internal to the system 
and is in an entangled state with the measured system and the local 
environment.



Decoherence has to work through to a conclusion if the
sectors are to split and a definite result is to emerge.


Definite results are not needed because the observers are internal to 
the system, there is no outside observer external to  the entire 
universe.



This is where
unitary evolution breaks down. Taken literally it never leads to a
result. Just as in a quantum computer -- the internal unitary
evolution has to invoke decoherence and collapse in order for a result
to emerge.



Only from the point of view of an external observer. But there is 
nothing external to the universe.



You need some marker of the point at which the different sectors
finally differentiate. The SE itself is clearly not the whole
story...you need something like a minimum non-zero probability! Or
an acceptance that FAPP is good enough, along with an understanding of
when FAPP is good enough.



Or just accept that we also consist of partielces and are not external 
to the universe.


Saibal


Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-14 Thread smitra

On 13-05-2022 22:06, Brent Meeker wrote:

On 5/13/2022 11:47 AM, smitra wrote:

On 12-05-2022 22:18, Brent Meeker wrote:

On 5/12/2022 11:17 AM, smitra wrote:

On 11-05-2022 23:02, Brent Meeker wrote:

On 5/11/2022 11:51 AM, smitra wrote:

On 11-05-2022 07:25, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:11 PM smitra  wrote:


On 11-05-2022 06:06, Bruce Kellett wrote:
On Wed, May 11, 2022 at 1:56 PM smitra  
wrote:



On 09-05-2022 00:34, Bruce Kellett wrote:


That still treats the SE as indubitally true. No theory in

physics is

'indubitably true'.

The Everett program is to say that the SE is all that there 
is

-- it
explains everything. That is clearly false (no Born rule in 
the

SE),

so it might be wise to doubt the universal application of the

SE.


There is no good reason to doubt the SE without any 
experimental

hints

that it breaks down, or any good theoretical reasons why it is
likely to break down in some regime.


Such faith would be touching if it weren't so naive. There are

good
theoretical and experimental reasons to believe that it cannot 
be

the

whole story.

As John Clark has also mentioned, the opposite is true. There 
are no


good arguments for collapse theories. There are no experimental
hints
for real collapse


That depends on how you read the data. We only see one outcome 
for

each experiment, after all!



And the results of those experiments lead to a theory where time 
evolution is given by a unitary transform. It's as John Clark also 
mentioned in one of his replies, analogous to how time reversal 
symmetry is not apparent in the macroscopic world. But we know 
that the fundamental laws are time reversible. This apparent 
discrepancy can be explained, it's not evidence for time 
reversibility being violated in nature.



and if we argue based on theory, then we see that it
leads to many problems.


The SE also has many problems., as I have taken pains to point 
out.




There are no problems with the SE. It's not inconsistent with the 
Born rule. The only issue is that it looks a bit unnatural for a 
fundamental law of physics to require both a dynamical ruke and 
the Born rule. But a real collapse is inconsistent with the SE.


Not in QBism.  It's just updating your prior.  Seems a perfect fit 
for
someone who wants to take an information theoretic approach and 
model

consciousness as an algorithm.



A real collapse is nevertheless inconsistent with the SE, there 
would exist physical processes where the SE would fail. If real 
collapse is supposed to happen in experiments, then because 
experiments are ultimately just many particle interactions then that 
means that, in general, the SE cannot be exactly valid.  We may then 
try to observe small violations of the SE in the lab.


I agree.  And in fact SE fails all the time.  It fails to predict a
definite outcome...which is OK if you accept probabilistic theories.


Physics doesn't work in this way. You always need to define a well 
defined hypothesis first in order to interpret experimental results 
and be able to test various alternative hypotheses/theories. If you 
don't do this, you are not doing physics.


Which is why assuming the SE is the whole truth even though it
predicts that everything possible happens, isn't doing physics.



Everything possible also happens in eternal inflation theories due to 
the infinite universe that these theories predict. So, that feature of 
the theory isn't the relevant physics content. The same is true for the 
MWI, where the relevant physics content isn't that I have a copy 
somewhere in the multiverse, but the prediction that isolated systems 
always evolve according to a unitary time evolution. IF CI is true then 
even a totally isolated system must have a probability of undergoing a 
non-unitary collapse.


Saibal


Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-14 Thread smitra

On 13-05-2022 21:59, Brent Meeker wrote:

On 5/13/2022 12:32 PM, smitra wrote:

On 12-05-2022 22:27, Brent Meeker wrote:

On 5/12/2022 11:42 AM, smitra wrote:


All that the experiments demonstrate is that the wave function
evolves
unitarily between state preparation and measurement. This is most
easily accounted for by assuming that the wave function is a
purely
epistemic vehicle for the time evolution of probabilities. Since
it is
purely epistemic, collapse is not a problem since it is not a
physical
event. One does not have to go the whole way to QBism -- the wave
function can still be objective (inter-subjectively agreed).


That's possible but that means that QM is not a complete fundamental
theory of reality. Anything that explains these probabilities is
then possible, including the existence of a multiverse.


Which is about as explanatory as "God did it."  Explaining the values
of the probabilities isn't the problem with MWI,  it's explaining 
that

there ARE probabilities even though nothing happens, and when and
where the probabilities arise.



I agree with what John Clark said in his reply.

To add to that, the "God did it" thing applies far more to the CI, 
because there one postulates the collapse without explaining the 
mechanism for it. In the MWI one assumes that the appearance of 
collapse can be explained from the known dynamics.


Right CI doesn't explain the collapse and MWI doesn't explain the
collapse either but assumes it can be explained without new physics. 
I hypothesize (not assume) that CI+  can
explain the collapse.  I don't see any big advantage for MWI here.


The big advantage is that decoherence is a well researched area of 
(mathematical) physics, results like the density matrix becoming 
approximately diagonal, and relations between decoherence to entropy 
increase making it effectively irreversible are all rigorous results 
that are uncontroversial. People may still have objections against the 
MWI, but they'll still accept these results on decoherence.


Non-zero minimum probability on its own, however, does not cause a 
system to evolve in a non-unitary way. Bruce is omitting something here, 
perhaps some limits in which the time evolution operator becomes 
degenerate or something like that. But a product of two unitary 
transforms is a unitary transform, so the nth power of a unitary 
transform is also a unitary transform. There is no ay you can get 
anything non-unitary out of this, unless possibly in the limit of n to 
infinity.



  My
attitude toward interpretations is that they are unimportant in
themselves, but they are useful in pointing to new, more comprehensive
and accurate theories.  That's one reason I'm not impressed by MWI
since it seems to ex hypothesi put any emprical testing out of reach.



But that's because MWI amounts to omitting something from a theory 
that's not needed. It's like what would have happened if Einstein had 
formulated his theory of special relativity but he had kept the ether to 
serve as the medium with strange properties such that you still have the 
equivalence of inertial frames. If you then had formulated your 
alternative version of special relativity by saying that the ether 
doesn't exist, then people who would have stuck to the idea what an 
ether must exist could have argued in the same way, i.e. that you are 
not adding anything that can be tested experimentally.


Saibal


Brent

Those explanations may not be satisfactory as of yet, but that's 
typical for most of science. There are phenomena that as of yet are 
not well explained, but that does not (necessarily) lead us to 
postulate new physics all the time. Doing so would make us like 
creationists who tend to invoke a "God of the gaps".


Saibal



Brent

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 12-05-2022 22:18, Brent Meeker wrote:

On 5/12/2022 11:17 AM, smitra wrote:

On 11-05-2022 23:02, Brent Meeker wrote:

On 5/11/2022 11:51 AM, smitra wrote:

On 11-05-2022 07:25, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:11 PM smitra  wrote:


On 11-05-2022 06:06, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:56 PM smitra  wrote:


On 09-05-2022 00:34, Bruce Kellett wrote:


That still treats the SE as indubitally true. No theory in

physics is

'indubitably true'.

The Everett program is to say that the SE is all that there is

-- it

explains everything. That is clearly false (no Born rule in the

SE),

so it might be wise to doubt the universal application of the

SE.


There is no good reason to doubt the SE without any experimental

hints

that it breaks down, or any good theoretical reasons why it is
likely to break down in some regime.


Such faith would be touching if it weren't so naive. There are

good

theoretical and experimental reasons to believe that it cannot be

the

whole story.

As John Clark has also mentioned, the opposite is true. There are 
no


good arguments for collapse theories. There are no experimental
hints
for real collapse


That depends on how you read the data. We only see one outcome for
each experiment, after all!



And the results of those experiments lead to a theory where time 
evolution is given by a unitary transform. It's as John Clark also 
mentioned in one of his replies, analogous to how time reversal 
symmetry is not apparent in the macroscopic world. But we know that 
the fundamental laws are time reversible. This apparent discrepancy 
can be explained, it's not evidence for time reversibility being 
violated in nature.



and if we argue based on theory, then we see that it
leads to many problems.


The SE also has many problems., as I have taken pains to point out.



There are no problems with the SE. It's not inconsistent with the 
Born rule. The only issue is that it looks a bit unnatural for a 
fundamental law of physics to require both a dynamical ruke and the 
Born rule. But a real collapse is inconsistent with the SE.


Not in QBism.  It's just updating your prior.  Seems a perfect fit 
for

someone who wants to take an information theoretic approach and model
consciousness as an algorithm.



A real collapse is nevertheless inconsistent with the SE, there would 
exist physical processes where the SE would fail. If real collapse is 
supposed to happen in experiments, then because experiments are 
ultimately just many particle interactions then that means that, in 
general, the SE cannot be exactly valid.  We may then try to observe 
small violations of the SE in the lab.


I agree.  And in fact SE fails all the time.  It fails to predict a
definite outcome...which is OK if you accept probabilistic theories.


Physics doesn't work in this way. You always need to define a well 
defined hypothesis first in order to interpret experimental results and 
be able to test various alternative hypotheses/theories. If you don't do 
this, you are not doing physics.


 

But then its real failure is that it doesn't tell you exactly when and
where and why it stops unitary evolution and produces a result. 


That's a failure of particular interpretations of QM, e.g. the CI that 
postulate collapse.



The
Born rule tells us the probability of a result...IF there is one. 
Decoherence tells there's an asymptotic approach to a result and
why...but not when and where it arrives.


Decoherence does does tell you how the different sectors split over 
time.


Saibal



Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 13-05-2022 14:08, John Clark wrote:

On Thu, May 12, 2022 at 4:27 PM Brent Meeker 
wrote:


_> Explaining the values of the probabilities isn't the problem with
MWI,  it's explaining that there ARE probabilities_


That's easy in MWI. Probabilities exist because until you actually
look at it there is no way to know if you are the Brent Meeker who
lives in a universe where the electron went left or you are the Brent
Meeker who lives in a universe where the electron went right, due to
the fact that the only difference between the two Brent Meekers is
what the electron does.



Indeed!

Saibal


  John K ClarkSee what's on my new list at  Extropolis [1]

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 13-05-2022 02:58, Bruce Kellett wrote:

On Fri, May 13, 2022 at 5:22 AM smitra  wrote:


On 12-05-2022 00:44, Brent Meeker wrote:

On 5/11/2022 1:06 PM, smitra wrote:


There is effective collapse in experiments we do, but the
experiments nevertheless demonstrate that the fundamental

processes

proceed under unitary time evolution.


Except when you measure them and actually get a result.



No, there exist no experiment results that demonstrate that unitary
time
evolution is not exactly valid. What you are referring to is that in

experiments we do the wavefunction of the measured system
(effectively)
collapses. But, because we also know from all the experimental
results
that the wavefunction evolves in a unitary way, and experiments are
ultimately nothing more that many particle interactions, that either

unitary time evolution cannot be exactly valid or that the collapse
during measurement is an artifact of decoherence where the observer
(and
the local environment) gets into an entangled superposition with the

measured system. The former hypothesis lacks experimental support.


The multiverse hypothesis also lacks experimental support. We observe
collapse every day and in every experiment. We never observe a
multiverse.



Which is consistent with the multiverse hypothesis.

Saibal


Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 13-05-2022 02:50, Bruce Kellett wrote:

On Fri, May 13, 2022 at 5:57 AM smitra  wrote:


On 12-05-2022 01:36, Bruce Kellett wrote:

On Thu, May 12, 2022 at 9:24 AM smitra  wrote:


On 11-05-2022 07:30, Bruce Kellett wrote:

Who proved that the universe was finite?


If it's infinite, one can focus on only the visible part of it.


The visible part is only locally defined -- go to the edge and

there

is another, larger, region.



Yes, but in the end this doesn't really matter due to there only
being
local interactions. After a finite time any finite system can only
interact with a finite number of degrees of freedom in its
environment.


But that does not mean that variables are discrete rather than
continuous.



I agree, not by itself.


If there are only a finite number of states the entire universe

can

be in, then that's also true for observers.


That simply begs the question.



Finite or infinite universe, observers are always finite.


The universe itself is not defined by observers.


The state of the observer can then factor out of the branches the
universe is in.


That is just a meaningless contention. The state of the observer, or
what the observer is aware of, or can or cannot factor out, is
irrelevant to the universe. Reality is not defined by observers.



I fully agree. But this is precisely an argument in favor of the 
multiverse when applied to the different sectors.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 12-05-2022 22:39, Brent Meeker wrote:

On 5/12/2022 12:08 PM, smitra wrote:

On 12-05-2022 01:46, Bruce Kellett wrote:

On Thu, May 12, 2022 at 9:08 AM smitra  wrote:


On 11-05-2022 08:14, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:39 PM Brent Meeker



wrote:


On 5/10/2022 9:43 PM, smitra wrote:


If there are only a finite number of states the entire universe

can be

in, then that's also true for observers.


So what does the SE for this discrete universe look like? The

one

every cites assumes a continuum.  If the universe is finite then

there's

smallest non-zero probability, which as Bruce says, raises some
problems.


Not the least of these problems is the fact that a smallest

non-zero

probability makes the collapse real; destroys the ongoing
superposition; renders everything absolutely irreversible; and

screws

the hell out of unitary evolution.


Counterexample: The internal state of an ideal quantum computer will

always evolve under unitary time evolution.


If there is a smallest non-zero probability, this may no longer be 
the

case.


A quantum computer implements exactly the sort of a discrete system 
that is discussed, and yet it works just fine, evolving under the 
unitary time evolutions as it should during the time it can be 
maintained in a quantum coherent state.


But it doesn't give an answer by evolving unitarily.



True, but as long as we (can) keep it isolated, the evolution is 
unitary, and that contradicts the point Brice was making about discrete 
systems and unitary time evolution.






Actually, a smallest non-zero probability would certainly
resolve a lot of the problems with many worlds theory. Unitarity 
would

no longer work to all levels; pure states would automatically become
mixtures under decoherence; reversibility would vanish; collapse 
would

make sense, and the emergence of the classical world from the
underlying quantum substrate would be explained. All this follows if
there are no continuous quantities in physics, and continuous
variables are just approximations to underlying discrete
quantities..

Solves a lot of problems. I can see why Brent is attracted to this
idea.



This does not follow from the non-existence of continuous quantities, 
because nothing on the current laws of physics implies that continuous 
quantities objectively exist.


All the more reason to suspect that there is a smallest non-zero 
probability.


Yes, but the point Brice makes about unitary time evolution is not true, 
at least not in the general way he formulated it.


Saibal


Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 12-05-2022 22:27, Brent Meeker wrote:

On 5/12/2022 11:42 AM, smitra wrote:


All that the experiments demonstrate is that the wave function
evolves
unitarily between state preparation and measurement. This is most
easily accounted for by assuming that the wave function is a
purely
epistemic vehicle for the time evolution of probabilities. Since
it is
purely epistemic, collapse is not a problem since it is not a
physical
event. One does not have to go the whole way to QBism -- the wave
function can still be objective (inter-subjectively agreed).


That's possible but that means that QM is not a complete fundamental
theory of reality. Anything that explains these probabilities is
then possible, including the existence of a multiverse.


Which is about as explanatory as "God did it."  Explaining the values
of the probabilities isn't the problem with MWI,  it's explaining that
there ARE probabilities even though nothing happens, and when and
where the probabilities arise.



I agree with what John Clark said in his reply.

To add to that, the "God did it" thing applies far more to the CI, 
because there one postulates the collapse without explaining the 
mechanism for it. In the MWI one assumes that the appearance of collapse 
can be explained from the known dynamics. Those explanations may not be 
satisfactory as of yet, but that's typical for most of science. There 
are phenomena that as of yet are not well explained, but that does not 
(necessarily) lead us to postulate new physics all the time. Doing so 
would make us like creationists who tend to invoke a "God of the gaps".


Saibal



Brent

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-13 Thread smitra

On 12-05-2022 22:23, Brent Meeker wrote:

On 5/12/2022 11:27 AM, smitra wrote:

On 12-05-2022 00:44, Brent Meeker wrote:

On 5/11/2022 1:06 PM, smitra wrote:


That's complete and audacious question begging.  What you mean by
"real" is "modeled within the SE".  There is NOTHING BUT collapse
experimentally; every result recorded in every notebook and every
tape
is evidence of a collapse.


There is effective collapse in experiments we do, but the
experiments nevertheless demonstrate that the fundamental processes
proceed under unitary time evolution.


Except when you measure them and actually get a result.



No, there exist no experiment results that demonstrate that unitary 
time evolution is not exactly valid. What you are referring to is that 
in experiments we do the wavefunction of the measured system 
(effectively) collapses. But, because we also know from all the 
experimental results that the wavefunction evolves in a unitary way, 
and experiments are ultimately nothing more that many particle 
interactions, that either unitary time evolution cannot be exactly 
valid or that the collapse during measurement is an artifact of 
decoherence where the observer (and the local environment) gets into 
an entangled superposition with the measured system. The former 
hypothesis lacks experimental support.


"we also know from all the experimental results that the wavefunction
evolves in a unitary way"...until we get a result and then it doesn't.

So does the latter.  It's based purely on the absence of a theory of
collapse, beyond, perhaps, decoherence which provides a (sort of)
theory of pointer basis and approach to collapse.



As I wrote in the previous reply, physics does not work in the way you 
are arguing here. You always have to formulate a well defined set of 
hypotheses first which you can then test with experimental data. There 
are plenty of examples where people tried to do test in a supposedly 
model independent way and then got results that were not at all model 
independent.


In this case, that the wavefunction collapses or at least appears to, is 
something that's treated radically different between the CI-like 
hypotheses and the MWI-like hypotheses. So, we can consider a class of 
MWI-like theories where there is no collapse with CI-like theories where 
there is collapse and then consider how they explain all of the 
experimental data.


 If you do that, then you see that CI-like theories postulate a new 
physical mechanism for collapse that's left unspecified that cannot be 
explained from the interaction Hamiltonian that one uses. Here I'm 
staying within the context of the CI, I'm not introducing any baggage 
from the MWI.


In MWI-like theories, there is nothing else than what is described by 
the interaction Hamiltonian. The problem here is to get to a better 
explanation of ho decoherence leads to the effective classical world.


The former problem is a real physics problem where one depends on a new 
phenomena, just like e.g. dark matter in cosmology. It has to exist 
according to the theory, but it hasn't yet been discovered yet. But 
unlike in case of dark matter where there are multiple independent 
observational results that point to its existence, in case of collapse, 
you only have the mere fact that in experiments the wavefunction 
collapses.


The problems with MWI-like theories is usual business that's seen in 
most other theories. Take e.g. superconductivity and we have plenty of 
experimental data that's not well explained yet by the theory. But this 
does not lead physicists to postulate new physics.


Saibal





Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-12 Thread smitra

On 12-05-2022 01:46, Bruce Kellett wrote:

On Thu, May 12, 2022 at 9:08 AM smitra  wrote:


On 11-05-2022 08:14, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:39 PM Brent Meeker



wrote:


On 5/10/2022 9:43 PM, smitra wrote:


If there are only a finite number of states the entire universe

can be

in, then that's also true for observers.


So what does the SE for this discrete universe look like?  The

one

every cites assumes a continuum.  If the universe is finite then

there's

smallest non-zero probability,  which as Bruce says, raises some
problems.


Not the least of these problems is the fact that a smallest

non-zero

probability makes the collapse real; destroys the ongoing
superposition; renders everything absolutely irreversible; and

screws

the hell out of unitary evolution.


Counterexample: The internal state of an ideal quantum computer will

always evolve under unitary time evolution.


If there is a smallest non-zero probability, this may no longer be the
case.


A quantum computer implements exactly the sort of a discrete system that 
is discussed, and yet it works just fine, evolving under the unitary 
time evolutions as it should during the time it can be maintained in a 
quantum coherent state.




Actually, a smallest non-zero probability would certainly
resolve a lot of the problems with many worlds theory. Unitarity would
no longer work to all levels; pure states would automatically become
mixtures under decoherence; reversibility would vanish; collapse would
make sense, and the emergence of the classical world from the
underlying quantum substrate would be explained. All this follows if
there are no continuous quantities in physics, and continuous
variables are just approximations to underlying discrete
quantities..

Solves a lot of problems. I can see why Brent is attracted to this
idea.



This does not follow from the non-existence of continuous quantities, 
because nothing on the current laws of physics implies that continuous 
quantities objectively exist.



Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-12 Thread smitra

On 12-05-2022 01:36, Bruce Kellett wrote:

On Thu, May 12, 2022 at 9:24 AM smitra  wrote:


On 11-05-2022 07:30, Bruce Kellett wrote:


Who proved that the universe was finite?



If it's infinite, one can focus on only the visible part of it.


The visible part is only locally defined -- go to the edge and there
is another, larger, region.



Yes, but in the end this doesn't really matter due to there only being 
local interactions. After a finite time any finite system can only 
interact with a finite number of degrees of freedom in its environment.



If there are only a finite number of states the entire universe

can

be in, then that's also true for observers.


That simply begs the question.



Finite or infinite universe, observers are always finite.


The universe itself is not defined by observers.



The state of the observer can then factor out of the branches the 
universe is in.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-12 Thread smitra

On 12-05-2022 01:01, Bruce Kellett wrote:

On Thu, May 12, 2022 at 8:36 AM smitra  wrote:


On 11-05-2022 07:42, Brent Meeker wrote:


That's complete and audacious question begging.  What you mean by
"real" is "modeled within the SE".  There is NOTHING BUT collapse
experimentally; every result recorded in every notebook and every

tape

is evidence of a collapse.



There is effective collapse in experiments we do, but the
experiments
nevertheless demonstrate that the fundamental processes proceed
under
unitary time evolution.


All that the experiments demonstrate is that the wave function evolves
unitarily between state preparation and measurement. This is most
easily accounted for by assuming that the wave function is a purely
epistemic vehicle for the time evolution of probabilities. Since it is
purely epistemic, collapse is not a problem since it is not a physical
event. One does not have to go the whole way to QBism -- the wave
function can still be objective (inter-subjectively agreed).



That's possible but that means that QM is not a complete fundamental 
theory of reality. Anything that explains these probabilities is then 
possible, including the existence of a multiverse.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-12 Thread smitra

On 12-05-2022 00:44, Brent Meeker wrote:

On 5/11/2022 1:06 PM, smitra wrote:


That's complete and audacious question begging.  What you mean by
"real" is "modeled within the SE".  There is NOTHING BUT collapse
experimentally; every result recorded in every notebook and every
tape
is evidence of a collapse.


There is effective collapse in experiments we do, but the
experiments nevertheless demonstrate that the fundamental processes
proceed under unitary time evolution.


Except when you measure them and actually get a result.



No, there exist no experiment results that demonstrate that unitary time 
evolution is not exactly valid. What you are referring to is that in 
experiments we do the wavefunction of the measured system (effectively) 
collapses. But, because we also know from all the experimental results 
that the wavefunction evolves in a unitary way, and experiments are 
ultimately nothing more that many particle interactions, that either 
unitary time evolution cannot be exactly valid or that the collapse 
during measurement is an artifact of decoherence where the observer (and 
the local environment) gets into an entangled superposition with the 
measured system. The former hypothesis lacks experimental support.


Saibal



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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-12 Thread smitra

On 11-05-2022 23:02, Brent Meeker wrote:

On 5/11/2022 11:51 AM, smitra wrote:

On 11-05-2022 07:25, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:11 PM smitra  wrote:


On 11-05-2022 06:06, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:56 PM smitra  wrote:


On 09-05-2022 00:34, Bruce Kellett wrote:


That still treats the SE as indubitally true. No theory in

physics is

'indubitably true'.

The Everett program is to say that the SE is all that there is

-- it

explains everything. That is clearly false (no Born rule in the

SE),

so it might be wise to doubt the universal application of the

SE.


There is no good reason to doubt the SE without any experimental

hints

that it breaks down, or any good theoretical reasons why it is
likely to break down in some regime.


Such faith would be touching if it weren't so naive. There are

good

theoretical and experimental reasons to believe that it cannot be

the

whole story.


As John Clark has also mentioned, the opposite is true. There are no

good arguments for collapse theories. There are no experimental
hints
for real collapse


That depends on how you read the data. We only see one outcome for
each experiment, after all!



And the results of those experiments lead to a theory where time 
evolution is given by a unitary transform. It's as John Clark also 
mentioned in one of his replies, analogous to how time reversal 
symmetry is not apparent in the macroscopic world. But we know that 
the fundamental laws are time reversible. This apparent discrepancy 
can be explained, it's not evidence for time reversibility being 
violated in nature.



and if we argue based on theory, then we see that it
leads to many problems.


The SE also has many problems., as I have taken pains to point out.



There are no problems with the SE. It's not inconsistent with the Born 
rule. The only issue is that it looks a bit unnatural for a 
fundamental law of physics to require both a dynamical ruke and the 
Born rule. But a real collapse is inconsistent with the SE.


Not in QBism.  It's just updating your prior.  Seems a perfect fit for
someone who wants to take an information theoretic approach and model
consciousness as an algorithm.



A real collapse is nevertheless inconsistent with the SE, there would 
exist physical processes where the SE would fail. If real collapse is 
supposed to happen in experiments, then because experiments are 
ultimately just many particle interactions then that means that, in 
general, the SE cannot be exactly valid.  We may then try to observe 
small violations of the SE in the lab.


Saibal


Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 07:30, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:16 PM smitra  wrote:


On 11-05-2022 06:01, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:51 PM smitra  wrote:


On 09-05-2022 00:42, Bruce Kellett wrote:


Such models are certainly inconsistent with the SE. So if your

concern

is that the SE does not contain provision for a collapse, then

you

should doubt other theories that violate the SE. You can't have

it

both ways: you can't reject collapse models because they violate

the

SE and then embrace other models that also violate the SE.

Either the

SE is universally correct, or it is not.


What matters is that such models can be
formulated in a mathematically consistent way, which

demonstrates that

there is n o contradiction. The physical plausibility of such

models

is another issue.






As Brent has also pointed out, there amount of information in the
visible universe is finite.


That does not limit the number of branches. A finite universe does

not

limit the number of points in a line.


There is no such thing as a mathematical continuum in the real
physical
world.


Can you prove that? There is no evidence that space and time are
discrete.


In physics we only have a continuum in the scaling limit where we've 
scaled the microscopic distances away to zero. Whenever we do a 
computations where it really matters whether or not the continuum is 
real, we end up having to impose a short-ditance cut-off and can only 
remove this cut-off via a renormalization procedure. See also page 12 of 
this document:


https://webspace.science.uu.nl/~hooft101/lectures/basisqft.pdf

"Often, authors forget to mention the first, very important, step in 
this logical procedure: replace the classical field theory one wishes to 
quantize by a strictly finite theory.
Assuming that physical structures smaller than a certain size will not 
be important for
our considerations, we replace the continuum of three-dimensional space 
by a discrete but
dense lattice of points. In the differential equations, we replace all 
derivatives ∂/∂xi by

finite ratios of differences: ∆/∆x
, where ∆φ stands for φ(x + ∆x) − φ(x) . In Fourier
space, this means that wave numbers ~k are limited to a finite range 
(the Brillouin zone),

so that integrations over ~k can never diverge.
If this lattice is sufficiently dense, the solutions we are interested 
in will hardly depend
on the details of this lattice, and so, the classical system will resume 
Lorentz invariance
and the speed of light will be the practical limit for the velocity of 
perturbances. If
necessary, we can also impose periodic boundary conditions in 3-space, 
and in that case
our system is completely finite. Finite systems of this sort allow for 
‘quantization’ in the

old-fashioned sense: replace the Poisson brackets by commutators. "





There are only a finite number of distinct quantum states
available for a finite universe.


Who proved that the universe was finite?



If it's infinite, one can focus on only the visible part of it.


This is clear for states below some
total energy E. But there is an upper limit to the total energy due
to
gravitational collapse when the energy exceeds a certain limit.


But one can also consider observers and then
each observer has a some finite memory so there are only a finite
number of branches the observer can distinguish between.


That does not follow.



If there are only a finite number of states the entire universe can
be
in, then that's also true for observers.


That simply begs the question.



Finite or infinite universe, observers are always finite.

Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 07:28, Brent Meeker wrote:

On 5/10/2022 8:17 PM, smitra wrote:

On 09-05-2022 00:42, Bruce Kellett wrote:

On Mon, May 9, 2022 at 6:37 AM smitra  wrote:


On 08-05-2022 05:58, Bruce Kellett wrote:


It is when you take the SE to imply that all possible outcomes

exist

on each trial. That gives all outcomes equal status.


All outcomes can exist without these being equally likely. One can
make
models based on more branches for certain outcomes, but these are
just
models that may not be correct.


Such models are certainly inconsistent with the SE. So if your 
concern

is that the SE does not contain provision for a collapse, then you
should doubt other theories that violate the SE. You can't have it
both ways: you can't reject collapse models because they violate the
SE and then embrace other models that also violate the SE. Either the
SE is universally correct, or it is not.


What matters is that such models can be
formulated in a mathematically consistent way, which demonstrates
that
there is n o contradiction. The physical plausibility of such models
is
another issue.


This has been discussed. To allow for real number probabilities, the
number of branches on each split must be infinite. The measure 
problem

for infinite numbers of branches has not been solved. It is unlikely
that any consistent measure over infinite numbers of branches can be
defined. So this idea is probably a non-starter. At least other 
models

have a reasonable chance of success.



As Brent has also pointed out, there amount of information in the 
visible universe is finite. But one can also consider observers and 
then each observer has a some finite memory so there are only a finite 
number of branches the observer can distinguish between.


Quite aside from memory, per Everett there are a bazillion branches
that are only "measured" by the environment and no human is every
aware of.  But shall we not consider the "memory of the environment". 
That's where decoherence says the classical result gets recorded.



Yes, but note that the observer's memory then factors out of the part of 
the state that descibes what the observer is  not aware of, and that 
part is then in a superposition of all possibilities. See also here:


https://arxiv.org/abs/1804.00749

"A no-go theorem for observer-independent facts"

Saibal


Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 08:14, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:39 PM Brent Meeker 
wrote:


On 5/10/2022 9:43 PM, smitra wrote:


If there are only a finite number of states the entire universe

can be

in, then that's also true for observers.


So what does the SE for this discrete universe look like?  The one
every
cites assumes a continuum.  If the universe is finite then there's
smallest non-zero probability,  which as Bruce says, raises some
problems.


Not the least of these problems is the fact that a smallest non-zero
probability makes the collapse real; destroys the ongoing
superposition; renders everything absolutely irreversible; and screws
the hell out of unitary evolution.




Counterexample: The internal state of an ideal quantum computer will 
always evolve under unitary time evolution.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 07:42, Brent Meeker wrote:

On 5/10/2022 9:47 PM, smitra wrote:

On 11-05-2022 06:06, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:56 PM smitra  wrote:


On 09-05-2022 00:34, Bruce Kellett wrote:


That still treats the SE as indubitally true. No theory in physics

is

'indubitably true'.

The Everett program is to say that the SE is all that there is --

it

explains everything. That is clearly false (no Born rule in the

SE),

so it might be wise to doubt the universal application of the SE.


There is no good reason to doubt the SE without any experimental
hints
that it breaks down, or any good theoretical reasons why it is
likely to
break down in some regime.


Such faith would be touching if it weren't so naive. There are good
theoretical and experimental reasons to believe that it cannot be the
whole story.

As John Clark has also mentioned, the opposite is true. There are no 
good arguments for collapse theories. There are no experimental hints 
for real collapse


That's complete and audacious question begging.  What you mean by
"real" is "modeled within the SE".  There is NOTHING BUT collapse
experimentally; every result recorded in every notebook and every tape
is evidence of a collapse.



There is effective collapse in experiments we do, but the experiments 
nevertheless demonstrate that the fundamental processes proceed under 
unitary time evolution.


Saibal


Brent

and if we argue based on theory, then we see that it leads to many 
problems. Believing  in collapse is like believing in the ether after 
special relativity was already formulated and experimentally 
confirmed.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 07:25, Brent Meeker wrote:

On 5/10/2022 8:11 PM, smitra wrote:

On 09-05-2022 00:34, Bruce Kellett wrote:

On Mon, May 9, 2022 at 6:52 AM smitra  wrote:


On 08-05-2022 06:04, Bruce Kellett wrote:

On Sun, May 8, 2022 at 11:21 AM smitra  wrote:


The issues with branches etc. are likely just artifacts with

making

hidden assumptions about branches. At the end of the day there

are

only
a finite number of states an observer can be in. If an observer

is

modeled as an algorithm, take e.g. Star Trek's Mr. Data then it's
clear
that there are only a finite number of bitstrings that can
correspond to
the set of all possible things Mr. Data can be aware of.


Everett is supposed to be QM without observers. So the number of
things that Mr Data can possibly be aware of is irrelevant.

According

to the SE, all branches are equivalent. All else flows from this

--

there are no further "hidden assumptions about branches".



Yes, but I'm not a big fan of "sticking to scripture". What matters
for
me is that collapse is inconsistent with the SE, therefore we should

consider QM without collapse and see how to best to move forward on
that
basis.


That still treats the SE as indubitally true. No theory in physics is
'indubitably true'.

The Everett program is to say that the SE is all that there is -- it
explains everything. That is clearly false (no Born rule in the SE),
so it might be wise to doubt the universal application of the SE.



There is no good reason to doubt the SE without any experimental hints 
that it breaks down, or any good theoretical reasons why it is likely 
to break down in some regime.


Well, there's a big fat hint that it breaks down FAPP in every
measurement, in every bit of physics that appears classical and
irreversible.  So it has a burden to explain this appearance. 


It does not have the burden to explain this fully. Lacking a good 
explanation, one has to go through all reasonable explanations based on 
what is known. A good example is what John Clark also mentioned about 
time reversibility. Boltzmann presented an incomplete argument on how 
the tension between the Second law and microscopic time reversibility 
could be resolved. And while the precise rigorous argument was not 
satisfactorily settled until quite recently, it was good enough for 
physicists to move on and accept that the laws of physics are time 
reversible.


This is because it was implausible to have time reversibility at the 
micro-level and not at a higher level, given that what happens at the 
macro-level is fully determined by what happens at the micro-level. It 
would require new experimental results to cast doubt on reversibility, 
so the burden of proof is on anyone proposing such a hypothesis.


The case of unitary time evolution is similar. There are no experimental 
results that demonstrate that this is violated. While we do have 
effective collapse at the macro-scale, this is what one would expect due 
to decoherence.




I see
some progress in this direction in decoherence and Zurek's quantum
Darwinism.  But it still ends in hand waving,


Physics would not be possible without lots of hand waving.



"Since the SE applies to
everything the wave-function must be real and every component of it
must exist." 
Which begs the question, "Does it apply to everything?" 
It doesn't apply to spacetime and gravity.


It does apply to spacetime, at least there is no problem with assuming 
that it does. See e.g. here for some details:


https://arxiv.org/abs/1407.4748

In particular Section 4.1. "How to Make Computations" on page 23 and 
further




  And it might just be an
effective approximation as in QBism.



That could be, but as things stand now, there is no evidence for that.

Saibal


Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 07:39, Brent Meeker wrote:

On 5/10/2022 9:43 PM, smitra wrote:

On 11-05-2022 06:01, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:51 PM smitra  wrote:


On 09-05-2022 00:42, Bruce Kellett wrote:


Such models are certainly inconsistent with the SE. So if your

concern

is that the SE does not contain provision for a collapse, then you
should doubt other theories that violate the SE. You can't have it
both ways: you can't reject collapse models because they violate

the

SE and then embrace other models that also violate the SE. Either

the

SE is universally correct, or it is not.


What matters is that such models can be
formulated in a mathematically consistent way, which demonstrates

that

there is n o contradiction. The physical plausibility of such

models

is another issue.


This has been discussed. To allow for real number probabilities,

the

number of branches on each split must be infinite. The measure

problem

for infinite numbers of branches has not been solved. It is

unlikely

that any consistent measure over infinite numbers of branches can

be

defined. So this idea is probably a non-starter. At least other

models

have a reasonable chance of success.



As Brent has also pointed out, there amount of information in the
visible universe is finite.


That does not limit the number of branches. A finite universe does 
not

limit the number of points in a line.



There is no such thing as a mathematical continuum in the real 
physical world. There are only a finite number of distinct quantum 
states available for a finite universe. This is clear for states below 
some total energy E. But there is an upper limit to the total energy 
due to gravitational collapse when the energy exceeds a certain limit.




But one can also consider observers and then
each observer has a some finite memory so there are only a finite
number
of branches the observer can distinguish between.


That does not follow.



If there are only a finite number of states the entire universe can be 
in, then that's also true for observers.


So what does the SE for this discrete universe look like?  The one
every cites assumes a continuum.  If the universe is finite then
there's smallest non-zero probability,  which as Bruce says, raises
some problems.

You then have a finite set of states with transition probabilities for 
transitions between the states.


Saibal


Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-11 Thread smitra

On 11-05-2022 07:25, Bruce Kellett wrote:

On Wed, May 11, 2022 at 3:11 PM smitra  wrote:


On 11-05-2022 06:06, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:56 PM smitra  wrote:


On 09-05-2022 00:34, Bruce Kellett wrote:


That still treats the SE as indubitally true. No theory in

physics is

'indubitably true'.

The Everett program is to say that the SE is all that there is

-- it

explains everything. That is clearly false (no Born rule in the

SE),

so it might be wise to doubt the universal application of the

SE.


There is no good reason to doubt the SE without any experimental

hints

that it breaks down, or any good theoretical reasons why it is
likely to break down in some regime.


Such faith would be touching if it weren't so naive. There are

good

theoretical and experimental reasons to believe that it cannot be

the

whole story.


As John Clark has also mentioned, the opposite is true. There are no

good arguments for collapse theories. There are no experimental
hints
for real collapse


That depends on how you read the data. We only see one outcome for
each experiment, after all!



And the results of those experiments lead to a theory where time 
evolution is given by a unitary transform. It's as John Clark also 
mentioned in one of his replies, analogous to how time reversal symmetry 
is not apparent in the macroscopic world. But we know that the 
fundamental laws are time reversible. This apparent discrepancy can be 
explained, it's not evidence for time reversibility being violated in 
nature.



and if we argue based on theory, then we see that it
leads to many problems.


The SE also has many problems., as I have taken pains to point out.



There are no problems with the SE. It's not inconsistent with the Born 
rule. The only issue is that it looks a bit unnatural for a fundamental 
law of physics to require both a dynamical ruke and the Born rule. But a 
real collapse is inconsistent with the SE.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-10 Thread smitra

On 11-05-2022 06:01, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:51 PM smitra  wrote:


On 09-05-2022 00:42, Bruce Kellett wrote:


Such models are certainly inconsistent with the SE. So if your

concern

is that the SE does not contain provision for a collapse, then you
should doubt other theories that violate the SE. You can't have it
both ways: you can't reject collapse models because they violate

the

SE and then embrace other models that also violate the SE. Either

the

SE is universally correct, or it is not.


What matters is that such models can be
formulated in a mathematically consistent way, which demonstrates

that

there is n o contradiction. The physical plausibility of such

models

is another issue.


This has been discussed. To allow for real number probabilities,

the

number of branches on each split must be infinite. The measure

problem

for infinite numbers of branches has not been solved. It is

unlikely

that any consistent measure over infinite numbers of branches can

be

defined. So this idea is probably a non-starter. At least other

models

have a reasonable chance of success.



As Brent has also pointed out, there amount of information in the
visible universe is finite.


That does not limit the number of branches. A finite universe does not
limit the number of points in a line.



There is no such thing as a mathematical continuum in the real physical 
world. There are only a finite number of distinct quantum states 
available for a finite universe. This is clear for states below some 
total energy E. But there is an upper limit to the total energy due to 
gravitational collapse when the energy exceeds a certain limit.




But one can also consider observers and then
each observer has a some finite memory so there are only a finite
number
of branches the observer can distinguish between.


That does not follow.



If there are only a finite number of states the entire universe can be 
in, then that's also true for observers.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-10 Thread smitra

On 11-05-2022 06:06, Bruce Kellett wrote:

On Wed, May 11, 2022 at 1:56 PM smitra  wrote:


On 09-05-2022 00:34, Bruce Kellett wrote:


That still treats the SE as indubitally true. No theory in physics

is

'indubitably true'.

The Everett program is to say that the SE is all that there is --

it

explains everything. That is clearly false (no Born rule in the

SE),

so it might be wise to doubt the universal application of the SE.


There is no good reason to doubt the SE without any experimental
hints
that it breaks down, or any good theoretical reasons why it is
likely to
break down in some regime.


Such faith would be touching if it weren't so naive. There are good
theoretical and experimental reasons to believe that it cannot be the
whole story.

As John Clark has also mentioned, the opposite is true. There are no 
good arguments for collapse theories. There are no experimental hints 
for real collapse and if we argue based on theory, then we see that it 
leads to many problems. Believing  in collapse is like believing in the 
ether after special relativity was already formulated and experimentally 
confirmed.


Saibal




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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-10 Thread smitra

On 09-05-2022 00:34, Bruce Kellett wrote:

On Mon, May 9, 2022 at 6:52 AM smitra  wrote:


On 08-05-2022 06:04, Bruce Kellett wrote:

On Sun, May 8, 2022 at 11:21 AM smitra  wrote:


The issues with branches etc. are likely just artifacts with

making

hidden assumptions about branches. At the end of the day there

are

only
a finite number of states an observer can be in. If an observer

is

modeled as an algorithm, take e.g. Star Trek's Mr. Data then it's
clear
that there are only a finite number of bitstrings that can
correspond to
the set of all possible things Mr. Data can be aware of.


Everett is supposed to be QM without observers. So the number of
things that Mr Data can possibly be aware of is irrelevant.

According

to the SE, all branches are equivalent. All else flows from this

--

there are no further "hidden assumptions about branches".



Yes, but I'm not a big fan of "sticking to scripture". What matters
for
me is that collapse is inconsistent with the SE, therefore we should

consider QM without collapse and see how to best to move forward on
that
basis.


That still treats the SE as indubitally true. No theory in physics is
'indubitably true'.

The Everett program is to say that the SE is all that there is -- it
explains everything. That is clearly false (no Born rule in the SE),
so it might be wise to doubt the universal application of the SE.



There is no good reason to doubt the SE without any experimental hints 
that it breaks down, or any good theoretical reasons why it is likely to 
break down in some regime.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-10 Thread smitra

On 09-05-2022 00:42, Bruce Kellett wrote:

On Mon, May 9, 2022 at 6:37 AM smitra  wrote:


On 08-05-2022 05:58, Bruce Kellett wrote:


It is when you take the SE to imply that all possible outcomes

exist

on each trial. That gives all outcomes equal status.


All outcomes can exist without these being equally likely. One can
make
models based on more branches for certain outcomes, but these are
just
models that may not be correct.


Such models are certainly inconsistent with the SE. So if your concern
is that the SE does not contain provision for a collapse, then you
should doubt other theories that violate the SE. You can't have it
both ways: you can't reject collapse models because they violate the
SE and then embrace other models that also violate the SE. Either the
SE is universally correct, or it is not.


What matters is that such models can be
formulated in a mathematically consistent way, which demonstrates
that
there is n o contradiction. The physical plausibility of such models
is
another issue.


This has been discussed. To allow for real number probabilities, the
number of branches on each split must be infinite. The measure problem
for infinite numbers of branches has not been solved. It is unlikely
that any consistent measure over infinite numbers of branches can be
defined. So this idea is probably a non-starter. At least other models
have a reasonable chance of success.



As Brent has also pointed out, there amount of information in the 
visible universe is finite. But one can also consider observers and then 
each observer has a some finite memory so there are only a finite number 
of branches the observer can distinguish between.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-10 Thread smitra

On 09-05-2022 01:00, Brent Meeker wrote:

On 5/8/2022 1:50 PM, smitra wrote:

On 08-05-2022 06:03, Brent Meeker wrote:

On 5/7/2022 6:21 PM, smitra wrote:


On 05-05-2022 00:04, Brent Meeker wrote:
On 5/4/2022 12:27 PM, smitra wrote:

In
fact, that idea introduces a raft of problems of its own -- what
is
the measure over this infinity of branches? What does it mean to
partition infinity in the ratio of 0.9:0.1? What is the mechanism
(necessarily outside the Schrodinger equation) that achieves this?

That simply means that there is as of yet no good model for QM
without the Born rule.


But there is no mechanism for the Born rule.  It is inconsistent with
pure Schroedinger evolution of the wave function.  I think the 
problem


of measures on infinity is overcome if you simply postulate a very
large but finite number of branches to split.  Or why not not an
continuum probability and just measure by the density around the
eigenvalue...the measured values are never exact anyway.  I don't
these things are wrong or show MWI is inconsistent, but I think they
show it has just moved the problems it purported to solve off to some
unobservable worlds, which is no better than CI.

Born rule is not inconsistent with the Schrödinger equation, it just
tells you that the wavefunction gives you the probability amplitudes.
This is better than the CI, because the CI is inconsistent with the
Schrödinger equation.

Because??  It takes one more step and says "probability means
something happens and other things don't."  It's not called the
"Copenhagen Equation".  It's called the "Copenhagen Interpretation",
i.e. how to _INTERPRET_ the Schroedinger equation and so it is
consistent with it.

It's called an interpretation just like the MWI, but these are 
actually different theories that make different predictions, albeit in 
a domain that cannot easily be accessed experimentally.


That the CI is inconsistent with the Schrödinger equation is easy to 
see. If the Schrödinger is valid, then the state of a system evolves 
in a unitary way. But after a real collapse the state changes in a 
non-unitary way.


Which is only a problem if one insists that the Schroedinger equation
is the whole of the theory and it is ontic.  CI denies the first and
says that measurements are projection operators because a measurements
is necessarily a classical-like result.  QBism says the whole theory
is epistemic.



Yes, but this mans that CI is not compatible with QM as a fundamental 
theory. You can't have a fundamental Schrödinger equation and then have 
it not apply to some special cases.


If we consider measuring the z-component of a spin polarized in the 
x-direction using a Stern-Gerlach apparatus, then the entire system 
of  the spin the experimental set-up, the observer and local 
environment consists of particles that should evolve according to the 
Schrödinger equation.


"Should"?



If MWI is correct.

If the measurement takes one minute, then the initial state of a patch 
of one light-minute diameter around the location of the experiment 
maps to a final state of that patch in a unitary way.


You seem to overlook that this one-light minute sphere also had
incoming particles and radiation which could not be accounted for the
Schroedinger equation.



Yes, so one can imagine a shield keeping particles from outside that 
region from interacting with particles inside the region. Weakly 
interacting particles like neutrinos can enter, but they don't interact 
with what's inside the interior region. So, the state of the universe 
factors into a part for the inside and outside regions (where the 
outside region also incudes weakly interacting particles that have moved 
inside). Both parts evolve in a unitary way.


But CI says that this does not happen because the internal observer in 
the system performed a measurement that causes the state of the system 
to collapse.


Yes, that's a problem although CI+decoherence doesn't depend on an
observer.  The effect of the incoming radiation is also a problem. But
MWI doesn't solve the problem, it just assumes that the correlations
are created which have the same effect as collapse as far as the
instruments and observers are concerned.  Decoherence goes part way to
solving the problem by quantifying how the "collapse" occurs
statistically in time.



Yes, one needs to consider correlations between the states of the 
measurement devices and the measured systems.


Saibal


Brent






The issues with branches etc. are likely just artifacts with making
hidden assumptions about branches. At the end of the day there are
only a finite number of states an observer can be in. If an observer
is modeled as an algorithm, take e.g. Star Trek's Mr. Data then it's
clear that there are only a finite number of bitstrings that can
correspond to the set of all possible things Mr. Data can be aware
of.


But different Mr. Data's and different instruments ca

Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-08 Thread smitra

On 08-05-2022 06:04, Bruce Kellett wrote:

On Sun, May 8, 2022 at 11:21 AM smitra  wrote:


The issues with branches etc. are likely just artifacts with making
hidden assumptions about branches. At the end of the day there are
only
a finite number of states an observer can be in. If an observer is
modeled as an algorithm, take e.g. Star Trek's Mr. Data then it's
clear
that there are only a finite number of bitstrings that can
correspond to
the set of all possible things Mr. Data can be aware of.


Everett is supposed to be QM without observers. So the number of
things that Mr Data can possibly be aware of is irrelevant. According
to the SE, all branches are equivalent. All else flows from this --
there are no further "hidden assumptions about branches".



Yes, but I'm not a big fan of "sticking to scripture". What matters for 
me is that collapse is inconsistent with the SE, therefore we should 
consider QM without collapse and see how to best to move forward on that 
basis.


Saibal



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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-08 Thread smitra

On 08-05-2022 06:03, Brent Meeker wrote:

On 5/7/2022 6:21 PM, smitra wrote:


On 05-05-2022 00:04, Brent Meeker wrote:
On 5/4/2022 12:27 PM, smitra wrote:

In
fact, that idea introduces a raft of problems of its own -- what
is
the measure over this infinity of branches? What does it mean to
partition infinity in the ratio of 0.9:0.1? What is the mechanism
(necessarily outside the Schrodinger equation) that achieves this?

That simply means that there is as of yet no good model for QM
without the Born rule.


But there is no mechanism for the Born rule.  It is inconsistent with
pure Schroedinger evolution of the wave function.  I think the problem

of measures on infinity is overcome if you simply postulate a very
large but finite number of branches to split.  Or why not not an
continuum probability and just measure by the density around the
eigenvalue...the measured values are never exact anyway.  I don't
these things are wrong or show MWI is inconsistent, but I think they
show it has just moved the problems it purported to solve off to some
unobservable worlds, which is no better than CI.

Born rule is not inconsistent with the Schrödinger equation, it just
tells you that the wavefunction gives you the probability amplitudes.
This is better than the CI, because the CI is inconsistent with the
Schrödinger equation.

Because??  It takes one more step and says "probability means
something happens and other things don't."  It's not called the
"Copenhagen Equation".  It's called the "Copenhagen Interpretation",
i.e. how to _INTERPRET_ the Schroedinger equation and so it is
consistent with it.

It's called an interpretation just like the MWI, but these are actually 
different theories that make different predictions, albeit in a domain 
that cannot easily be accessed experimentally.


That the CI is inconsistent with the Schrödinger equation is easy to 
see. If the Schrödinger is valid, then the state of a system evolves in 
a unitary way. But after a real collapse the state changes in a 
non-unitary way. If we consider measuring the z-component of a spin 
polarized in the x-direction using a Stern-Gerlach apparatus, then the 
entire system of  the spin the experimental set-up, the observer and 
local environment consists of particles that should evolve according to 
the Schrödinger equation. If the measurement takes one minute, then the 
initial state of a patch of one light-minute diameter around the 
location of the experiment maps to a final state of that patch in a 
unitary way. But CI says that this does not happen because the internal 
observer in the system performed a measurement that causes the state of 
the system to collapse.




The issues with branches etc. are likely just artifacts with making
hidden assumptions about branches. At the end of the day there are
only a finite number of states an observer can be in. If an observer
is modeled as an algorithm, take e.g. Star Trek's Mr. Data then it's
clear that there are only a finite number of bitstrings that can
correspond to the set of all possible things Mr. Data can be aware
of.


But different Mr. Data's and different instruments can have different
number of states.  So what you're suggesting is QBism.



It may fall under QBism, the question is if this is going to cause 
problems that cannot be resolved well.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-08 Thread smitra

On 08-05-2022 05:58, Bruce Kellett wrote:

On Sun, May 8, 2022 at 11:32 AM smitra  wrote:


On 05-05-2022 01:15, Bruce Kellett wrote:

On Thu, May 5, 2022 at 5:27 AM smitra  wrote:


On 04-05-2022 01:49, Bruce Kellett wrote:


I have not introduced any concept of probability. The 2^N

branches

that are constructed when both outcomes are realized on each of

N

Bernoulli trials are all on the same basis.


If you ignore the amplitudes in the states, and that means

modifying

QM into something else.


QM does not assume that all branches exist equally. In Everett you
have already modified QM into something else.

The Schrodinger equation is insensitive to the amplitudes. You get

the

same set of 2^N branches from the Schrodinger equation, whatever
amplitudes you have. The weights of these branches certainly

depend on

the amplitudes: if there are n zeros in the set of N trials, there

are

N-n ones. The weight of the corresponding binary string is a^n
b^(N-n), but without further assumption, this plays no role in the
future development of the state or in the interpretation of the

binary

string. If you interpret it as the probability of the string, you
again have a conflict, since all binary strings are constructed on

an

equal basis, the natural probability for each is 2^{-N}.


There is no conflict whatsoever with assuming the Born rule and the
Schrodinger equation. The "construction on an equal basis" is not at
all
implied by the Schrödinger equation.


It is when you take the SE to imply that all possible outcomes exist
on each trial. That gives all outcomes equal status.



All outcomes can exist without these being equally likely. One can make 
models based on more branches for certain outcomes, but these are just 
models that may not be correct. What matters is that such models can be 
formulated in a mathematically consistent way, which demonstrates that 
there is n o contradiction. The physical plausibility of such models is 
another issue.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-08 Thread smitra

On 08-05-2022 05:56, Bruce Kellett wrote:

On Sun, May 8, 2022 at 11:40 AM smitra  wrote:


On 05-05-2022 01:57, Bruce Kellett wrote:

On Thu, May 5, 2022 at 5:27 AM smitra  wrote:


Of course you can. The lottery example shows that even in

classical

physics you can imagine this happening. If  a million copies of

you are

made and one will win a lottery whole the rest won't then you

have one

in a million chance of experiencing winning the lottery, even

though

both outcomes of winning and losing will occur with certainty.


The trouble is that classically, a million copies of you cannot be
made.


Then assume that I'm Mr. Data and just copy the software running Mr.

Data a million times. So, this is not a findamtnel problem with the
argument.


That technology does not currently exist. And one might reasonably
doubt that it will ever exist




The issue was that if the probability of an outcome is 10%, then
it does not make sense to say that that outcome will certainly

happen.

It does make sense in a scenario where there are multiple copies if
the
same observer. If Alice makes 10 copies of Bob, and one copy of Bob
is
going to experience outcome A and the rest will experience outcome
B,
then from Alice will see all the possible states for Bob. But from
Bob's
point of view, things are different. After Bob is exposed to the
result
(A or B) there are two versions of Bob, Bob

I think this boils down to the first person:third person confusion
that Bruno often refers to.
From the third person perspective, the outcome is certain. But from
the first person perspective of each of the copies, the outcome is not
certain.

Consider the following simple situation. You have a bag containing ten
balls, nine of which are red and one is black. If there are ten copies
of Bob, for example, and each copy draws a ball from the bag, without
replacement. Then it is certain (100% probability) that the black ball
will be drawn. But the probability that any particular copy of Bob
drew the black ball is only 10%. (They draw the balls without knowing
the results of other draws). The probability that 'Bob' (including all
copies, presumed identical) will have the black ball is still 100%.
That is the 3p perspective. For each copy, however, their 1p
perspective is that the probability that their ball is black is only
10%. The problem arises if you attempt to impose the 1p perspective on
the 3p view. It cannot be the case that a particular copy of Bob is
both certain to draw black and has only a 10% chance of drawing black.
To consider all copies as equally identified as 'Bob' is the 3p view,
and that is the view that is relevant for the Everett interpretation
of an experiment -- there is nothing in the SE that identifies one
particular observer (there is no 1p view), so Everett is incompatible
with the Born rule (which is a 1p view).



I agree here, except that the wavefunction will (in general) assign 
different amplitudes to different states of observers. Therefore there 
is problem with the Born rule assigning different probabilities to the 
observer being in different states.


Saibal


Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-07 Thread smitra

On 05-05-2022 01:57, Bruce Kellett wrote:

On Thu, May 5, 2022 at 5:27 AM smitra  wrote:


On 04-05-2022 01:49, Bruce Kellett wrote:

On Tue, May 3, 2022 at 10:11 PM smitra  wrote:


What you are constructing is not the result of QM.


I think you are being confused by the presence of coefficients in

the

expansion of the original state: the a and b in

|psi> = a|0> + b|1>

The linearity of the Schrodinger equation means that the

coefficients,

a and b, play no part in the construction of the 2^N possible
branches; you get the same set of 2^N branches whatever the values

of

a and b. Think of it this way. If a = sqrt(0.9) and b = sqrt(0.1),

the

Born rule probability for |0> is 90%, and the Born rule

probability

for |1> is 10%. But, by hypothesis, both outcomes occur with

certainty

on each trial. There is a conflict here. You cannot rationally

have a

10% probability for something that is certain to happen.


Of course you can. The lottery example shows that even in classical
physics you can imagine this happening. If  a million copies of you
are
made and one will win a lottery whole the rest won't then you have
one
in a million chance of experiencing winning the lottery, even though

both outcomes of winning and losing will occur with certainty.


The trouble is that classically, a million copies of you cannot be
made.


Then assume that I'm Mr. Data and just copy the software running Mr. 
Data a million times. So, this is not a findamtnel problem with the 
argument.



The issue was that if the probability of an outcome is 10%, then
it does not make sense to say that that outcome will certainly happen.


It does make sense in a scenario where there are multiple copies if the 
same observer. If Alice makes 10 copies of Bob, and one copy of Bob is 
going to experience outcome A and the rest will experience outcome B, 
then from Alice will see all the possible states for Bob. But from Bob's 
point of view, things are different. After Bob is exposed to the result 
(A or B) there are two versions of Bob, Bobknows beforehand how the experiment s set up, he'll assign a probability 
of 10% of going to find himself in state Bob_B after the experiment.




Putting things off into other worlds does not make the logic work. If
there is a copy of you for every ticket in the lottery, then you can
say with certainty that one copy of you will have the winning ticket.
But what sense does it make to say that your chance of winning is then
one in a million? You can't have it both ways. If winning and not
winning are both regarded as legitimate outcomes, then you are not
certain to win, although you are certain to have an outcome. Whatever
way you spin it, the same thing cannot both be certain and have a
probability of 10% (or one in a million).



See above explanation.

Saibal


Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-07 Thread smitra

On 05-05-2022 01:15, Bruce Kellett wrote:

On Thu, May 5, 2022 at 5:27 AM smitra  wrote:


On 04-05-2022 01:49, Bruce Kellett wrote:


I have not introduced any concept of probability. The 2^N branches
that are constructed when both outcomes are realized on each of N
Bernoulli trials are all on the same basis.


If you ignore the amplitudes in the states, and that means modifying
QM
into something else.


QM does not assume that all branches exist equally. In Everett you
have already modified QM into something else.

The Schrodinger equation is insensitive to the amplitudes. You get the
same set of 2^N branches from the Schrodinger equation, whatever
amplitudes you have. The weights of these branches certainly depend on
the amplitudes: if there are n zeros in the set of N trials, there are
N-n ones. The weight of the corresponding binary string is a^n
b^(N-n), but without further assumption, this plays no role in the
future development of the state or in the interpretation of the binary
string. If you interpret it as the probability of the string, you
again have a conflict, since all binary strings are constructed on an
equal basis, the natural probability for each is 2^{-N}.


There is no conflict whatsoever with assuming the Born rule and the 
Schrodinger equation. The "construction on an equal basis" is not at all 
implied by the Schrödinger equation.



Because of
these obvious problems, most writers on MWI interpret the coefficients
as weights, and are careful to avoid calling the amplitudes
probabilities. The Born rule is taken to sit alongside the theory, but
it is not part of the theory because there are no probabilities in the
Schrodinger equation itself.



There are no forces in Maxwell equations either, that's given by the 
Lorentz force equation. I sits alongside the Maxwell equations.


Saibal


Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-07 Thread smitra

On 05-05-2022 00:04, Brent Meeker wrote:

On 5/4/2022 12:27 PM, smitra wrote:


In
fact, that idea introduces a raft of problems of its own -- what
is
the measure over this infinity of branches? What does it mean to
partition infinity in the ratio of 0.9:0.1? What is the mechanism
(necessarily outside the Schrodinger equation) that achieves this?


That simply means that there is as of yet no good model for QM
without the Born rule.


But there is no mechanism for the Born rule.  It is inconsistent with
pure Schroedinger evolution of the wave function.  I think the problem
of measures on infinity is overcome if you simply postulate a very
large but finite number of branches to split.  Or why not not an
continuum probability and just measure by the density around the
eigenvalue...the measured values are never exact anyway.  I don't
these things are wrong or show MWI is inconsistent, but I think they
show it has just moved the problems it purported to solve off to some
unobservable worlds, which is no better than CI.



Born rule is not inconsistent with the Schrödinger equation, it just 
tells you that the wavefunction gives you the probability amplitudes. 
This is better than the CI, because the CI is inconsistent with the 
Schrödinger equation.


The issues with branches etc. are likely just artifacts with making 
hidden assumptions about branches. At the end of the day there are only 
a finite number of states an observer can be in. If an observer is 
modeled as an algorithm, take e.g. Star Trek's Mr. Data then it's clear 
that there are only a finite number of bitstrings that can correspond to 
the set of all possible things Mr. Data can be aware of.


Saibal



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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-07 Thread smitra

On 04-05-2022 22:24, Brent Meeker wrote:

On 5/4/2022 11:36 AM, smitra wrote:

On 03-05-2022 19:52, Brent Meeker wrote:

On 5/3/2022 5:00 AM, smitra wrote:

On 28-04-2022 07:24, Brent Meeker wrote:

On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:
On Tue, Apr 26, 2022 at 10:03 AM smitra  wrote:

On 24-04-2022 03:16, Bruce Kellett wrote:

A moment's thought should make it clear to you that this is not
possible. If both possibilities are realized, it cannot be the
case
that one has twice the probability of the other. In the long run,
if
both are realized they have equal probabilities of 1/2.

The probabilities do not have to be 1/2.  Suppose one million 
people



participate in a lottery such that there will be exactly one 
winner.


The
probability that one given person will win, is then one in a
million.
Suppose now that we create one million people using a machine and
then
organize such a lottery. The probability that one given newly
created
person will win is then also one in a million. The machine can be
adjusted to create any set of persons we like, it can create one
million
identical persons, or almost identical persons, or totally 
different



persons. If we then create one million almost identical persons, 
the



probability is still one one in a million. This means that the 
limit


of
identical persons, the probability will be one in a million.

Why would the probability suddenly become 1/2 if the machine is 
set

to
create exactly identical persons while the probability would be 
one

in a
million if we create persons that are almost, but not quite
identical?


Your lottery example is completely beside the point.

It provides for an example of a case where your logic does not 
apply.



I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01, 
10,and
11; after 3 trials, we have branches registering 000, 001, 011, 
010,


100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and
standard
deviation that decreases as 1/sqrt(N). In other words, the 
majority

of
trials will have equal, or approximately equal, numbers of 0s and
1s.
Observers in these branches will naturally take the probability to
be
approximated by the relative frequencies of 0s and 1s. In other
words,
they will take the probability of each outcome to be 0.5.


The problem with this is that you just assume that all branches are
equally probable. You don't make that explicit, it's implicitly
assumed, but it's just an assumption. You are simply doing branch
counting.

But it shows why you can't use branch counting.  There's no 
physical

mechanism for translating the _a_ and _b_ of  _|psi> = a|0> + b|1>_
into numbers of branches.  To implement that you have put it in "by
hand" that the branches have weights or numerousity of _a _and _b_.
This is possible, but it gives the lie to the MWI mantra of "It's 
just

the Schroedinger equation."



Yes, one has to interpret the wavefunction as giving probabilities. 
That's still better than assuming that the physical state evolves 
sometimes according to the Schrödinger equations and sometimes by 
undergoing a nondeterministic collapse without there being any 
evidence for such collapses, without even credible theoretical 
models for it.


Is there any evidence that is NOT from collapse?  How does it get
recorded?  Where is it?  A credible theoretical model is one that
predicts the observed result...not necessarily one that satisfies 
your
metaphysical prejudices.  You seem to have adopted a Platonist view 
of

physics.  But as Sean Carroll (a proponent of MWI) remarked, "But all
human progress has come from studying the shadows on the wall."



A theoretical model cannot be tied to macroscopic concepts that are 
known to only give an effective description of nature.


But that's not "known".  It's only "known" if you assume the
theoretical model...circular reasoning.



If collapse is not effective but a real effect not due to decoherence, 
then there is as of yet no experimental evidence for it.


It's just like concepts in thermodynamics that can be explained in a 
more fundamental way using statistical physics. No one objects to 
doing that on the grounds of any practical impossibility of building 
molecular-scale heat engines.


But the consequences of thermodynamics are confirmed by observation. 
MWI puts them where they are, in

Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-04 Thread smitra

On 04-05-2022 01:49, Bruce Kellett wrote:

On Tue, May 3, 2022 at 10:11 PM smitra  wrote:


On 28-04-2022 07:51, Bruce Kellett wrote:

On Thu, Apr 28, 2022 at 3:24 PM Brent Meeker



wrote:


On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:

Changing the weights of the components in the superposition does

not

change the conclusion of most observers that the actual

probabilities

are 0.5 for each result. This is simple mathematics, and I am

amazed

that even after all these years, and all the times I have spelled

this

out, you still seek to deny the obvious result. Your logical and
mathematical skill are on a par with those of John Clark.

It's indeed simple mathematics. You apply that to branch counting

to

arrive at the result of equal probabilities.


I have not used branch counting. Please stop accusing me of that.



You are considering each branch to have an equal probability when
there
is no logical reason to do so, and when that's also being
contradicted
by QM.


I have not introduced any concept of probability. The 2^N branches
that are constructed when both outcomes are realized on each of N
Bernoulli trials are all on the same basis.


If you ignore the amplitudes in the states, and that means modifying QM 
into something else.



There is no probability
involved. The branches are all equivalent by construction.



What you are constructing is not the result of QM.


I think you are being confused by the presence of coefficients in the
expansion of the original state: the a and b in

  |psi> = a|0> + b|1>

The linearity of the Schrodinger equation means that the coefficients,
a and b, play no part in the construction of the 2^N possible
branches; you get the same set of 2^N branches whatever the values of
a and b. Think of it this way. If a = sqrt(0.9) and b = sqrt(0.1), the
Born rule probability for |0> is 90%, and the Born rule probability
for |1> is 10%. But, by hypothesis, both outcomes occur with certainty
on each trial. There is a conflict here. You cannot rationally have a
10% probability for something that is certain to happen.


Of course you can. The lottery example shows that even in classical 
physics you can imagine this happening. If  a million copies of you are 
made and one will win a lottery whole the rest won't then you have one 
in a million chance of experiencing winning the lottery, even though 
both outcomes of winning and losing will occur with certainty. One has 
to distinguish between the bird's eye and frog's eye view in a setting 
where there are copies of observers.





This is why
some people have resorted to the idea that there are in fact an
infinite number of branches, both before and after the measurement.
What the measurement does is partition these branches in the ratio of
the Born probabilities. But this is just a suggestion. There is
nothing in the Schrodinger equation, or in quantum mechanics itself,
that would suggest that there are an infinite number of branches.


There is the Born rule. If one throws away the Born rule then one has to 
specify another model that explains where it comes from. But of you just 
throw away the Born rule and don't replace that woth anythong else, then 
you are obviously not going to reproduce the same results.



In
fact, that idea introduces a raft of problems of its own -- what is
the measure over this infinity of branches? What does it mean to
partition infinity in the ratio of 0.9:0.1? What is the mechanism
(necessarily outside the Schrodinger equation) that achieves this?



That simply means that there is as of yet no good model for QM without 
the Born rule.



You are concerned that a collapse introduces unknown physics outside
the Schrodinger equation. You will have to be careful that your own
solution does not introduce even more outrageous physics outside the
Schrodinger equation. Collapse, after all, has a perfectly reasonable
mechanism in terms of the flashes of relativistic GRW theory.



If objective collapse exists then one should be able to demonstrate that 
in an experiment. There are as of yet no experimental results that 
suggests that a collapse mechanism exists.



My conclusion from this is that Everett (and MWI) is inconsistent with
the Born rule. So your idea of QM without collapse but with the Born
rule, is simply incoherent. There can be no such theory that is
internally consistent.



That's based on assuming a model for the MWI that by construction is 
faulty.



So, the conclusion has to be that one should not do branch
counting. The question is then if this disproves the MWI. If by
MWI we mean QM minus collapse then clearly not. Because in that
case we use the Born rule to compute the probability of outcomes
and assume that after a measurement we have different sectors

for

observers who have observed the different outcomes with the
probabilities as given by the Born rule.


In which case the Born rule is just an additional arbit

Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-04 Thread smitra

On 03-05-2022 19:52, Brent Meeker wrote:

On 5/3/2022 5:00 AM, smitra wrote:

On 28-04-2022 07:24, Brent Meeker wrote:

On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:
On Tue, Apr 26, 2022 at 10:03 AM smitra  wrote:

On 24-04-2022 03:16, Bruce Kellett wrote:

A moment's thought should make it clear to you that this is not
possible. If both possibilities are realized, it cannot be the
case
that one has twice the probability of the other. In the long run,
if
both are realized they have equal probabilities of 1/2.

The probabilities do not have to be 1/2.  Suppose one million people


participate in a lottery such that there will be exactly one winner.

The
probability that one given person will win, is then one in a
million.
Suppose now that we create one million people using a machine and
then
organize such a lottery. The probability that one given newly
created
person will win is then also one in a million. The machine can be
adjusted to create any set of persons we like, it can create one
million
identical persons, or almost identical persons, or totally different


persons. If we then create one million almost identical persons, the


probability is still one one in a million. This means that the limit

of
identical persons, the probability will be one in a million.

Why would the probability suddenly become 1/2 if the machine is set
to
create exactly identical persons while the probability would be one
in a
million if we create persons that are almost, but not quite
identical?


Your lottery example is completely beside the point.

It provides for an example of a case where your logic does not apply.


I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01, 10,and
11; after 3 trials, we have branches registering 000, 001, 011, 010,

100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and
standard
deviation that decreases as 1/sqrt(N). In other words, the majority
of
trials will have equal, or approximately equal, numbers of 0s and
1s.
Observers in these branches will naturally take the probability to
be
approximated by the relative frequencies of 0s and 1s. In other
words,
they will take the probability of each outcome to be 0.5.


The problem with this is that you just assume that all branches are
equally probable. You don't make that explicit, it's implicitly
assumed, but it's just an assumption. You are simply doing branch
counting.

But it shows why you can't use branch counting.  There's no physical
mechanism for translating the _a_ and _b_ of  _|psi> = a|0> + b|1>_
into numbers of branches.  To implement that you have put it in "by
hand" that the branches have weights or numerousity of _a _and _b_.
This is possible, but it gives the lie to the MWI mantra of "It's 
just

the Schroedinger equation."



Yes, one has to interpret the wavefunction as giving probabilities. 
That's still better than assuming that the physical state evolves 
sometimes according to the Schrödinger equations and sometimes by 
undergoing a nondeterministic collapse without there being any 
evidence for such collapses, without even credible theoretical models 
for it.


Is there any evidence that is NOT from collapse?  How does it get
recorded?  Where is it?  A credible theoretical model is one that
predicts the observed result...not necessarily one that satisfies your
metaphysical prejudices.  You seem to have adopted a Platonist view of
physics.  But as Sean Carroll (a proponent of MWI) remarked, "But all
human progress has come from studying the shadows on the wall."



A theoretical model cannot be tied to macroscopic concepts that are 
known to only give an effective description of nature. It's just like 
concepts in thermodynamics that can be explained in a more fundamental 
way using statistical physics. No one objects to doing that on the 
grounds of any practical impossibility of building molecular-scale heat 
engines.


Saibal




Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-04 Thread smitra

On 03-05-2022 19:47, Brent Meeker wrote:

On 5/3/2022 4:48 AM, smitra wrote:

On 28-04-2022 07:23, Brent Meeker wrote:

On 4/27/2022 10:38 AM, smitra wrote:

On 27-04-2022 04:08, Brent Meeker wrote:

On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:
On Tue, Apr 26, 2022 at 10:03 AM smitra  wrote:

On 24-04-2022 03:16, Bruce Kellett wrote:

A moment's thought should make it clear to you that this is not
possible. If both possibilities are realized, it cannot be the
case
that one has twice the probability of the other. In the long run,
if
both are realized they have equal probabilities of 1/2.

The probabilities do not have to be 1/2.  Suppose one million 
people



participate in a lottery such that there will be exactly one 
winner.


The
probability that one given person will win, is then one in a
million.
Suppose now that we create one million people using a machine and
then
organize such a lottery. The probability that one given newly
created
person will win is then also one in a million. The machine can be
adjusted to create any set of persons we like, it can create one
million
identical persons, or almost identical persons, or totally 
different



persons. If we then create one million almost identical persons, 
the



probability is still one one in a million. This means that the 
limit


of
identical persons, the probability will be one in a million.

Why would the probability suddenly become 1/2 if the machine is 
set

to
create exactly identical persons while the probability would be 
one

in a
million if we create persons that are almost, but not quite
identical?


Your lottery example is completely beside the point.

It provides for an example of a case where your logic does not 
apply.



I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01, 
10,and
11; after 3 trials, we have branches registering 000, 001, 011, 
010,


100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and
standard
deviation that decreases as 1/sqrt(N). In other words, the 
majority

of
trials will have equal, or approximately equal, numbers of 0s and
1s.
Observers in these branches will naturally take the probability to
be
approximated by the relative frequencies of 0s and 1s. In other
words,
they will take the probability of each outcome to be 0.5.


The problem with this is that you just assume that all branches are
equally probable. You don't make that explicit, it's implicitly
assumed, but it's just an assumption. You are simply doing branch
counting.

But it shows why you can't use branch counting.  There's no 
physical

mechanism for translating the _a_ and _b_ of  _|psi> = a|0> + b|1>_
into numbers of branches.  To implement that you have put it in "by
hand" that the branches have weights or numerousity of _a _and _b_.
This is possible, but it gives the lie to the MWI mantra of "It's 
just

the Schroedinger equation."



The problem is with giving a physical interpretation to the 
mathematics here. If we take MWI to be QM without collapse, then we 
have not specified anything about branches yet. Different MWI 
advocates have published different ideas about this, and they can't 
all be right. But at heart MWI is just QM without collapse. To 
proceed in a rigorous way, one has to start with what counts as a 
branch. It seems to me that this has to involve the definition of an 
observer, and that requires a theory about what observation is. 
I.m.o, this has to be done by defining an observer as an algorithm, 
but many people think that you need to invoke environmental 
decoherence. People like e.g. Zurek using the latter definition have 
attempted to derive the Born rule based on that idea.


I.m.o., one has to start working out a theory based on rigorous 
definitions and then see where that leads to, instead of arguing 
based on vague, ill defined notions.


"Observer as an algorithm" seems pretty ill defined to me. Which
algorithm?  applied to what input?  How does the algorithm, a 
Platonic

construct, interface with the physical universe? Decoherence seems
much better defined.  And so does QBism.

Any human observer is arguably implemented by an algorithm run by a 
brain.


Plus sensors, plus environmentyou call that "well defined"??



What matters is that it's well defined in principle. That in practice it 
looks like a big mess is irrelevant.


So, 

Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-03 Thread smitra

On 03-05-2022 14:11, Bruce Kellett wrote:

On Tue, May 3, 2022 at 9:40 PM smitra  wrote:


On 28-04-2022 02:14, Brent Meeker wrote:

On 4/27/2022 2:00 PM, smitra wrote:


If you agree, and are prepared,
with me, to throw out Everett, then we agree, and there is

nothing


more to be argued about (at least, until you present some
different complete theory).

I'm open to the idea that QM itself may only be an approximation

to

a more fundamental theory. The arguments in favor of no collapse

are

strong arguments but you then do get this issue with probability
that you have discussed here. The disagreement with you about

this

is that I  don't see it as a fatal inconsistency that would prove
the MWI to be wrong. Probabilities for the different branches do

not

have to be equal. But that doesn't mean that this looks to be a
rather unnatural feature of the theory. This suggests that a more
fundamental theory exists from which one could derive quantum
mechanics with its formalism involving amplitudes and the Born

rule

as an approximation.


If there are probabilities attached to the branches, then

Gleason's

theorem shows that the probabilities must satisfy the Born rule.

So I

don't seen any inconsistency in simply saying they are

probabilities

of measurement results,  that's Copenhagen.  But if they are
probabilities of results that implies that some things happen and
others don't...other wise what does "probability" mean and what

use is

it as an empirical concept?  That brings back the original problem

of

CI, where and how is this happening defined?



If there are 3 copies of an observer and 2 experience outcome A and
1
experiences outcome B then the probability of the observer
experiencing
outcome B is 1/3. Here we should note that the personal identity of
an
observer is determined by all the information in the brain and is
therefore different from the different outcomes. So, we always have
(slightly) different observers observing different things, which is
not
all that different from starting with 3 different people of whom 2
experience outcome A and 1 experiences outcome B.


That's just branch counting, which is known not to work.



The complete physical state is not in doubt in this case. In your 
argument you apply your reasoning to QM but you remove the information 
about the amplitudes from the wavefunction so you replace QM by a Straw 
Man version of QM that then fails to describe the real world correctly.


While MWI is QM minus collapse, what you do is consider MWI minus 
collapse minus Born rule, then argue that this doesn't work and that 
therefore the MWI is wrong.


Saibal


Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-03 Thread smitra

On 28-04-2022 07:51, Bruce Kellett wrote:

On Thu, Apr 28, 2022 at 3:24 PM Brent Meeker 
wrote:


On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:

Changing the weights of the components in the superposition does
not
change the conclusion of most observers that the actual
probabilities
are 0.5 for each result. This is simple mathematics, and I am amazed

that even after all these years, and all the times I have spelled
this
out, you still seek to deny the obvious result. Your logical and
mathematical skill are on a par with those of John Clark.

It's indeed simple mathematics. You apply that to branch counting to
arrive at the result of equal probabilities.


I have not used branch counting. Please stop accusing me of that.



You are considering each branch to have an equal probability when there 
is no logical reason to do so, and when that's also being contradicted 
by QM.

'

So, the conclusion has to be that one should not do branch
counting. The question is then if this disproves the MWI. If by
MWI we mean QM minus collapse then clearly not. Because in that
case we use the Born rule to compute the probability of outcomes
and assume that after a measurement we have different sectors for
observers who have observed the different outcomes with the
probabilities as given by the Born rule.


In which case the Born rule is just an additional arbitrary
assumption: it is not part of the Schrodinger equation. Your theory of
QM minus collapse is not well-defined. You simply take whatever you
want from text-book quantum mechanics, with no regard to the
consistency of your model.



QM includes the Born rule. QM minus collapse is just that: QM minus 
collapse. It's not QM minus collapse minus the Born rule.




You then want to argue against that by claiming that your argument
applies generally and would not allow one to give different
sectors unequal probabilities. But that's nonsense, because you
make the hidden assumption of equal probabilities right from the
start.


I simply assume the Schrodinger equation. Then, following Everett, we
take it to be deterministic, so that all branches occur on every
trial. Since it is deterministic, there is no concept of probability
inherent in the Schrodinger equation, and I do not assume any
definition of probability. So the branches occur as they occur, there
is no assumption of equal probability. It is just that the
construction means that  all 2^N branches occur on the same basis and
necessarily count equally in the overall branching picture.



Why do they necessarily count equally? What is the meaning of the 
wavefunction? Why don't the amplitudes matter?




There is nothing in QM that says that branches must count equally,
and the lottery example I gave makes it clear that you can have
branching with unequal probabilities in classical physics.


As I have said, there is no classical analogue of an interaction in
which all outcomes necessarily occur. So your lottery example is
useless. There is no concept of probability involved in any of this.



The lottery example I gave clearly is a classical example in which all 
outcomes necessarily occur. Your reasoning does not involve any QM at 
all, you just apply it to the MWI. Your argument goes through also in 
case of the lottery example, in which case it leads to an obviopusly 
wrong conclusion. So, it's your reasoning that's at fault not the MWI 
taken to be QM minus collapse.


Saibal


Bruce





Yes, there's nothing in QM that says the branches must count
equally.  But there's also nothing in the evolution of Schroedingers
equation that they must count as _a^2_ and _b^2_.  Of course IF they
are probabilities then it follows from Gleason's theorem that they
follow the Born rule.  But in that case you have reintroduced almost
all the philosophical problems of the Copenhagen interpretation.
When exactly does this splitting occur?  Can the split be into
irrational numbers of branches?  A splitting is in some particular
basis and not in other bases.  What determines the pointer basis?

Brent


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-03 Thread smitra

On 28-04-2022 07:24, Brent Meeker wrote:

On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:
On Tue, Apr 26, 2022 at 10:03 AM smitra  wrote:

On 24-04-2022 03:16, Bruce Kellett wrote:

A moment's thought should make it clear to you that this is not
possible. If both possibilities are realized, it cannot be the
case
that one has twice the probability of the other. In the long run,
if
both are realized they have equal probabilities of 1/2.

The probabilities do not have to be 1/2.  Suppose one million people


participate in a lottery such that there will be exactly one winner.

The
probability that one given person will win, is then one in a
million.
Suppose now that we create one million people using a machine and
then
organize such a lottery. The probability that one given newly
created
person will win is then also one in a million. The machine can be
adjusted to create any set of persons we like, it can create one
million
identical persons, or almost identical persons, or totally different


persons. If we then create one million almost identical persons, the


probability is still one one in a million. This means that the limit

of
identical persons, the probability will be one in a million.

Why would the probability suddenly become 1/2 if the machine is set
to
create exactly identical persons while the probability would be one
in a
million if we create persons that are almost, but not quite
identical?


Your lottery example is completely beside the point.

It provides for an example of a case where your logic does not apply.


I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01, 10,and
11; after 3 trials, we have branches registering 000, 001, 011, 010,

100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and
standard
deviation that decreases as 1/sqrt(N). In other words, the majority
of
trials will have equal, or approximately equal, numbers of 0s and
1s.
Observers in these branches will naturally take the probability to
be
approximated by the relative frequencies of 0s and 1s. In other
words,
they will take the probability of each outcome to be 0.5.


The problem with this is that you just assume that all branches are
equally probable. You don't make that explicit, it's implicitly
assumed, but it's just an assumption. You are simply doing branch
counting.

But it shows why you can't use branch counting.  There's no physical
mechanism for translating the _a_ and _b_ of  _|psi> = a|0> + b|1>_
into numbers of branches.  To implement that you have put it in "by
hand" that the branches have weights or numerousity of _a _and _b_.
This is possible, but it gives the lie to the MWI mantra of "It's just
the Schroedinger equation."



Yes, one has to interpret the wavefunction as giving probabilities. 
That's still better than assuming that the physical state evolves 
sometimes according to the Schrödinger equations and sometimes by 
undergoing a nondeterministic collapse without there being any evidence 
for such collapses, without even credible theoretical models for it.




Brent


The important point to notice is that this result of all possible
binary sequences for N trials is independent of the coefficients
in
the binary expansion of the state:

.

Changing the weights of the components in the superposition does
not
change the conclusion of most observers that the actual
probabilities
are 0.5 for each result. This is simple mathematics, and I am
amazed
that even after all these years, and all the times I have spelled
this
out, you still seek to deny the obvious result. Your logical and
mathematical skill are on a par with those of John Clark.


It's indeed simple mathematics. You apply that to branch counting to
arrive at the result of equal probabilities. So, the conclusion has
to be that one should not do branch counting. The question is then
if this disproves the MWI. If by MWI we mean QM minus collapse then
clearly not. Because in that case we use the Born rule to compute
the probability of outcomes and assume that after a measurement we
have different sectors for observers who have observed the different
outcomes with the probabilities as given by the Born rule.

You then want to argue against that by claiming that your argument
applies generally and would not allow one to give different sectors
unequal probabilities. But that's nonsense, because you make t

Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-03 Thread smitra

On 28-04-2022 07:23, Brent Meeker wrote:

On 4/27/2022 10:38 AM, smitra wrote:

On 27-04-2022 04:08, Brent Meeker wrote:

On 4/26/2022 5:32 PM, smitra wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:
On Tue, Apr 26, 2022 at 10:03 AM smitra  wrote:

On 24-04-2022 03:16, Bruce Kellett wrote:

A moment's thought should make it clear to you that this is not
possible. If both possibilities are realized, it cannot be the
case
that one has twice the probability of the other. In the long run,
if
both are realized they have equal probabilities of 1/2.

The probabilities do not have to be 1/2.  Suppose one million people


participate in a lottery such that there will be exactly one winner.

The
probability that one given person will win, is then one in a
million.
Suppose now that we create one million people using a machine and
then
organize such a lottery. The probability that one given newly
created
person will win is then also one in a million. The machine can be
adjusted to create any set of persons we like, it can create one
million
identical persons, or almost identical persons, or totally different


persons. If we then create one million almost identical persons, the


probability is still one one in a million. This means that the limit

of
identical persons, the probability will be one in a million.

Why would the probability suddenly become 1/2 if the machine is set
to
create exactly identical persons while the probability would be one
in a
million if we create persons that are almost, but not quite
identical?


Your lottery example is completely beside the point.

It provides for an example of a case where your logic does not apply.


I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01, 10,and
11; after 3 trials, we have branches registering 000, 001, 011, 010,

100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and
standard
deviation that decreases as 1/sqrt(N). In other words, the majority
of
trials will have equal, or approximately equal, numbers of 0s and
1s.
Observers in these branches will naturally take the probability to
be
approximated by the relative frequencies of 0s and 1s. In other
words,
they will take the probability of each outcome to be 0.5.


The problem with this is that you just assume that all branches are
equally probable. You don't make that explicit, it's implicitly
assumed, but it's just an assumption. You are simply doing branch
counting.

But it shows why you can't use branch counting.  There's no physical
mechanism for translating the _a_ and _b_ of  _|psi> = a|0> + b|1>_
into numbers of branches.  To implement that you have put it in "by
hand" that the branches have weights or numerousity of _a _and _b_.
This is possible, but it gives the lie to the MWI mantra of "It's 
just

the Schroedinger equation."



The problem is with giving a physical interpretation to the 
mathematics here. If we take MWI to be QM without collapse, then we 
have not specified anything about branches yet. Different MWI 
advocates have published different ideas about this, and they can't 
all be right. But at heart MWI is just QM without collapse. To proceed 
in a rigorous way, one has to start with what counts as a branch. It 
seems to me that this has to involve the definition of an observer, 
and that requires a theory about what observation is. I.m.o, this has 
to be done by defining an observer as an algorithm, but many people 
think that you need to invoke environmental decoherence. People like 
e.g. Zurek using the latter definition have attempted to derive the 
Born rule based on that idea.


I.m.o., one has to start working out a theory based on rigorous 
definitions and then see where that leads to, instead of arguing based 
on vague, ill defined notions.


"Observer as an algorithm" seems pretty ill defined to me.  Which
algorithm?  applied to what input?  How does the algorithm, a Platonic
construct, interface with the physical universe? Decoherence seems
much better defined.  And so does QBism.

Any human observer is arguably implemented by an algorithm run by a 
brain. So, for any given observer at some time, there exists a precisely 
defined algorithm that defines that observer. In practice we cannot 
provide for any such definition, but from the point of view of the 
theory, it's important to takr into account the way an observer should 
be rigorously defined.


Decoher

Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-05-03 Thread smitra

On 28-04-2022 02:14, Brent Meeker wrote:

On 4/27/2022 2:00 PM, smitra wrote:


If you agree, and are prepared,
with me, to throw out Everett, then we agree, and there is nothing

more to be argued about (at least, until you present some
different
complete theory).

I'm open to the idea that QM itself may only be an approximation to
a more fundamental theory. The arguments in favor of no collapse are
strong arguments but you then do get this issue with probability
that you have discussed here. The disagreement with you about this
is that I  don't see it as a fatal inconsistency that would prove
the MWI to be wrong. Probabilities for the different branches do not
have to be equal. But that doesn't mean that this looks to be a
rather unnatural feature of the theory. This suggests that a more
fundamental theory exists from which one could derive quantum
mechanics with its formalism involving amplitudes and the Born rule
as an approximation.


If there are probabilities attached to the branches, then Gleason's
theorem shows that the probabilities must satisfy the Born rule.  So I
don't seen any inconsistency in simply saying they are probabilities
of measurement results,  that's Copenhagen.  But if they are
probabilities of results that implies that some things happen and
others don't...other wise what does "probability" mean and what use is
it as an empirical concept?  That brings back the original problem of
CI, where and how is this happening defined?



If there are 3 copies of an observer and 2 experience outcome A and 1 
experiences outcome B then the probability of the observer experiencing 
outcome B is 1/3. Here we should note that the personal identity of an 
observer is determined by all the information in the brain and is 
therefore different from the different outcomes. So, we always have 
(slightly) different observers observing different things, which is not 
all that different from starting with 3 different people of whom 2 
experience outcome A and 1 experiences outcome B.


Saibal



Brent

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-04-27 Thread smitra

On 27-04-2022 04:01, Bruce Kellett wrote:

On Wed, Apr 27, 2022 at 11:35 AM smitra  wrote:


On 27-04-2022 03:11, Bruce Kellett wrote:

On Wed, Apr 27, 2022 at 10:32 AM smitra  wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:


I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the

first

trial, we have a branch with result 0 and a branch with result

1.

After two trials we have four branches, with results 00,

01,10,and

11; after 3 trials, we have branches registering 000, 001, 011,

010,

100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing

all

possible binary sequences of length N. (This is just like

Pascal's

triangle) As N becomes very large, we can approximate the

binomial

distribution with the normal distribution, with mean 0.5 and

standard

deviation that decreases as 1/sqrt(N). In other words, the

majority of

trials will have equal, or approximately equal, numbers of 0s

and 1s.

Observers in these branches will naturally take the probability

to be

approximated by the relative frequencies of 0s and 1s. In other

words,

they will take the probability of each outcome to be 0.5.



The problem with this is that you just assume that all branches

are

equally probable. You don't make that explicit, it's implicitly

assumed,

but it's just an assumption. You are simply doing branch

counting.


The distinctive feature of Everettian Many worlds theory is that

every

possible outcome is realized on every trial. I don't think that

you

have absorbed the full significance of this revolutionary idea.

There

is no classical analogue of this behaviour, which is why your

lottery

example is irrelevant.  I spelled out the sequences that Everett
implies in my earlier response. These clearly must have equal
probability -- that is what the theory requires.


QM without collapse does not require equal probabilities. Branches
are
not a fundamental concept of the theory. You just put this in by
hand.


It is not an assumption on my part -- it is a consequence of

Everett's basic idea.

Everett's (or for that matter any other person's) ideas cannot be
the
basis for doing physics in a rigorous way. Your argument is not
based on
QM without collapse, you are making ad hoc assumptions about
branching
when branching isn't a fundamental process in QM.


So there is no branch counting involved. That is just another red
herring that you have thrown up to distract yourself from the cold
hard logic of the situation.



You just presented an elaborate presentation involving N branching
steps
and counted all 2^N branches as equal. That's branch counting and
it's
known to not be compatible with QM. The MWI can be taken to be QM
without collapse and this is known to be a consistent theory


It would seem that you are claiming that QM without collapse is not
based on Everett's ideas. If you claim that such a theory exists and
is consistent, then you really should present that theory, and point
out that it has nothing to do with Everett, or with obtaining every
outcome of a trial on different branches.

QM without collapse is just that: QM without collapse, nothing more, 
nothing less. Everett worked out this idea added the concept of branches 
and developed an effective theory and also attempted to derive the Born 
rule. But that latter attempt is now recognized to not work and other 
physicists have later used similar and also other approaches to get to a 
derivation of the Born rule. But so far no one has succeeded.



My impression is that you do not have any worked-out theory -- you
just throw arbitrary objections to my working through the consequences
of Everett's approach to quantum mechanics. I have shown that many
problems exist with Everettian QM.


There only exists a problem with getting to the Born rule, not with QM 
without collapse.



If you agree, and are prepared,
with me, to throw out Everett, then we agree, and there is nothing
more to be argued about (at least, until you present some different
complete theory).

I'm open to the idea that QM itself may only be an approximation to a 
more fundamental theory. The arguments in favor of no collapse are 
strong arguments but you then do get this issue with probability that 
you have discussed here. The disagreement with you about this is that I  
don't see it as a fatal inconsistency that would prove the MWI to be 
wrong. Probabilities for the different branches do not have to be equal. 
But that doesn't mean that this looks to be a rather unnatural feature 
of the theory. This suggests that a more fundamental theory exists from 
which one could derive quantum mechanics with its formalism involving 
amplitudes and the Born rule as an approximation.


Saibal



Bruce

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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-04-26 Thread smitra

On 27-04-2022 03:11, Bruce Kellett wrote:

On Wed, Apr 27, 2022 at 10:32 AM smitra  wrote:


On 27-04-2022 01:37, Bruce Kellett wrote:


I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01,

10,and

11; after 3 trials, we have branches registering 000, 001, 011,

010,

100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and

standard

deviation that decreases as 1/sqrt(N). In other words, the

majority of

trials will have equal, or approximately equal, numbers of 0s and

1s.

Observers in these branches will naturally take the probability to

be

approximated by the relative frequencies of 0s and 1s. In other

words,

they will take the probability of each outcome to be 0.5.



The problem with this is that you just assume that all branches are
equally probable. You don't make that explicit, it's implicitly
assumed,
but it's just an assumption. You are simply doing branch counting.


The distinctive feature of Everettian Many worlds theory is that every
possible outcome is realized on every trial. I don't think that you
have absorbed the full significance of this revolutionary idea. There
is no classical analogue of this behaviour, which is why your lottery
example is irrelevant.  I spelled out the sequences that Everett
implies in my earlier response. These clearly must have equal
probability -- that is what the theory requires.


QM without collapse does not require equal probabilities. Branches are 
not a fundamental concept of the theory. You just put this in by hand.



It is not an
assumption on my part -- it is a consequence of Everett's basic idea.


Everett's (or for that matter any other person's) ideas cannot be the 
basis for doing physics in a rigorous way. Your argument is not based on 
QM without collapse, you are making ad hoc assumptions about branching 
when branching isn't a fundamental process in QM.




So there is no branch counting involved. That is just another red
herring that you have thrown up to distract yourself from the cold
hard logic of the situation.



You just presented an elaborate presentation involving N branching steps 
and counted all 2^N branches as equal. That's branch counting and it's 
known to not be compatible with QM. The MWI can be taken to be QM 
without collapse and this is known to be a consistent theory. So, if you 
arrive at a contradiction, you are making assumptions that are not 
implied by the theory.


Saibal



Bruce


The important point to notice is that this result of all possible
binary sequences for N trials is independent of the coefficients

in

the binary expansion of the state:

|psi> = a|0> + b|1>.

Changing the weights of the components in the superposition does

not

change the conclusion of most observers that the actual

probabilities

are 0.5 for each result. This is simple mathematics, and I am

amazed

that even after all these years, and all the times I have spelled

this

out, you still seek to deny the obvious result. Your logical and
mathematical skill are on a par with those of John Clark.


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-04-26 Thread smitra

On 26-04-2022 22:16, Brent Meeker wrote:

On 4/26/2022 11:38 AM, smitra wrote:


You do realize don't you that if you take this view you've made QM
personal and epistemic so we can forget all the MWI muddle and adopt

QBism whose only problem is that what you think reality is, is
personal.

One may get to something that looks like QBism, but one cannot
conclude that reality is personal within the framework that I
suggest.


Why not.  Each algorithm has it's own data, it's own prior, and so
it's own idea of reality.  Sounds like QBism to me.


Yes, but QBism is more than just that, it makes assumptions like there
not being a universal wavefunction.

But in your version the universal wave function is an otiose
assumption, a fiction put on top of the algorithmic experiences.



Given some algorithm, we can in principle compute the probability of it 
processing some dataset when given an initial condition and a 
fundamental Hamiltonian. The fact that we experience a world describe by 
the laws of physics and not some fantasy world, is something that should 
be explainable.


Saibal


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Re: The Nature of Contingency: Quantum Physics as Modal Realism

2022-04-26 Thread smitra

On 27-04-2022 01:37, Bruce Kellett wrote:

On Tue, Apr 26, 2022 at 10:03 AM smitra  wrote:


On 24-04-2022 03:16, Bruce Kellett wrote:


A moment's thought should make it clear to you that this is not
possible. If both possibilities are realized, it cannot be the

case

that one has twice the probability of the other. In the long run,

if

both are realized they have equal probabilities of 1/2.


The probabilities do not have to be 1/2.  Suppose one million people

participate in a lottery such that there will be exactly one winner.
The
probability that one given person will win, is then one in a
million.
Suppose now that we create one million people using a machine and
then
organize such a lottery. The probability that one given newly
created
person will win is then also one in a million. The machine can be
adjusted to create any set of persons we like, it can create one
million
identical persons, or almost identical persons, or totally different

persons. If we then create one million almost identical persons, the

probability is still one one in a million. This means that the limit
of
identical persons, the probability will be one in a million.

Why would the probability suddenly become 1/2 if the machine is set
to
create exactly identical persons while the probability would be one
in a
million if we create persons that are almost, but not quite
identical?


Your lottery example is completely beside the point.


It provides for an example of a case where your logic does not apply.


I think you
should pay more attention to the mathematics of the binomial
distribution. Let me explain it once more: If every outcome is
realized on every trial of a binary process, then after the first
trial, we have a branch with result 0 and a branch with result 1.
After two trials we have four branches, with results 00, 01, 10,and
11; after 3 trials, we have branches registering 000, 001, 011, 010,
100, 101, 110, and 111. Notice that these branches represent all
possible binary strings of length 3.

After N trials, there are 2^N distinct branches, representing all
possible binary sequences of length N. (This is just like Pascal's
triangle) As N becomes very large, we can approximate the binomial
distribution with the normal distribution, with mean 0.5 and standard
deviation that decreases as 1/sqrt(N). In other words, the majority of
trials will have equal, or approximately equal, numbers of 0s and 1s.
Observers in these branches will naturally take the probability to be
approximated by the relative frequencies of 0s and 1s. In other words,
they will take the probability of each outcome to be 0.5.



The problem with this is that you just assume that all branches are 
equally probable. You don't make that explicit, it's implicitly assumed, 
but it's just an assumption. You are simply doing branch counting.




The important point to notice is that this result of all possible
binary sequences for N trials is independent of the coefficients in
the binary expansion of the state:

  |psi> = a|0> + b|1>.

Changing the weights of the components in the superposition does not
change the conclusion of most observers that the actual probabilities
are 0.5 for each result. This is simple mathematics, and I am amazed
that even after all these years, and all the times I have spelled this
out, you still seek to deny the obvious result. Your logical and
mathematical skill are on a par with those of John Clark.



It's indeed simple mathematics. You apply that to branch counting to 
arrive at the result of equal probabilities. So, the conclusion has to 
be that one should not do branch counting. The question is then if this 
disproves the MWI. If by MWI we mean QM minus collapse then clearly not. 
Because in that case we use the Born rule to compute the probability of 
outcomes and assume that after a measurement we have different sectors 
for observers who have observed the different outcomes with the 
probabilities as given by the Born rule.


You then want to argue against that by claiming that your argument 
applies generally and would not allow one to give different sectors 
unequal probabilities. But that's nonsense, because you make the hidden 
assumption of equal probabilities right from the start. There is nothing 
in QM that says that branches must count equally, and the lottery 
example I gave makes it clear that you can have branching with unequal 
probabilities in classical physics.


Saibal




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