On 23 Nov 2017, at 23:48, [email protected] wrote:



On Wednesday, November 22, 2017 at 2:51:56 PM UTC-7, [email protected] wrote:

On Wednesday, November 22, 2017 at 5:24:48 PM UTC, Bruno Marchal wrote:

On 22 Nov 2017, at 09:55, [email protected] wrote:
On Tuesday, November 21, 2017 at 12:43:05 PM UTC-7, Bruno Marchal wrote:

On 20 Nov 2017, at 20:40, [email protected] wrote:
On Monday, November 20, 2017 at 6:56:52 AM UTC-7, Bruno Marchal wrote:

On 18 Nov 2017, at 21:32, [email protected] wrote:
On Saturday, November 18, 2017 at 1:17:25 PM UTC-7, Brent wrote:


On 11/18/2017 8:58 AM, John Clark wrote:
​> ​ I think "must" is unwarranted, certainly in the case of the MWI. Rather, it ASSUMES all possible measurements must be realized in some world. ​ ​ I see no reason for this assumption other than an insistence to fully reify the wf in order to avoid "collapse".

The MWI people don't have to assume anything because ​there is absolutely nothing in ​t he Schrodinger ​Wave ​E quation ​ about collapsing, its the Copenhagen people who have to assume that somehow it does. ​

It's not just an assumption. It's an observation. The SE alone didn't explain the observation, hence the additional ideas.

Brent

Moreover, MWI DOES make additional assumptions, as its name indicates, based on the assumption that all possible measurements MUST be measured, in this case in other worlds.

That is not an assumption. It is the quasi-literal reading of the waves. It is Copenhagen who added an assumption, basically the assumption that the wave does not apply to the observer: they assumed QM was wrong for the macroscopic world (Bohr) or for the conscious mind (Wigner, von Neumann) depending where you put the cut.

CMIIAW, but I see it, the postulates tell us the possible results of measurements. They don't assert that every possible measurement will be realized.
What do you mean by realize?

 Realized = Measured. AG
Measured by who?

Doesn't this identical question come up in MWI, but with Many Worlds the problem seems to metastasize. AG

Not really. With the MWI the problem is partially solved with the Mechanist first person indeterminacy or weakening of i. The only problem, in case we use the first person mechanist indterminacy is that we have to extract the quantum wave itself from elementary arithmetic and its internal logics of self-reference. That has been done partially, and up to now the results are confirmed by nature. For this I suggest you read my papers.





More precisely, if Alice look at a particle is state up+down: the wave is A(up + down) = A up + A down. Then A looks at the particles. The waves evolves into A-saw-up up + A-saw-down down. Are you OK to say that a measurement has occurred? Copenhagen says that the measurement gives either A-saw-up up or A-saw-up down, but that NEVER occurs once we abandon the collapse. So without collapse, a measurement is a first person experience. In this case, it is arguably the same as the experience of being duplicated.

If you could revise your reply using the wf of the singlet state (without the normalizing factor) in the following form, I might be able to evaluate your analysis; namely, ( |UP>|DN> - |DN>|UP> ).


I think I have done this in some later post.


I believe you have misapplied tensor linearity. TIA, AG


Where?



Without collapse, the measurement are described by the quantum laws.

That's precisely what QM doesn't describe, which constitutes part of the measurement problem. AG

Just see above. QM describes precisely why the observers believe correctly (with respect to their first person notion) having done measurement, and got precise outcomes, but from the 3p waves perspectives, all we have is a structured collection of relative states (which all exists and are structured in arithmetic, BTW).
An observer along a superposition up + down, *is* the same state as the observer along up superposed with the observer down, if he look in the {up + down, up - down} basis, "he" will see he is in up +down, but if he looks in the {up down} basis; the observer consciousness differentiate, in his first person perspective, but the solution of the wave describes the two outcomes realized from the point of view of each observer. You can't decide to make one of them into a zombie.

 I have no idea what you mean. Please try again. AG
The tensor product is linear, so A(up + down) = (A up) + (A down). OK?

But this doesn't appear in singlet state, and I don't see why it is relevant. How can an observer can be in a superposed state? It's the system which is in a superposed state, which is never observed AFAIK. AG

Hmm... you seem to endorse Bohr's dualist split of the subject, which is exactly what the MWI avoid. The observer is described by by QM, as is the system "observer + observed". Linearity of evolution of the state and of the tensor product assures this, and we recover the statistics from Gleason theorem + the first person Mechanist indeterminacy (self-splitting). There is no real other option once we want apply quantum physics to cosmology. Eventually, we lose "only" the physical universe and physicalism, as we have to extract the wave itself from the first person plural observable defined by the universal machine. The quantum aspect of nature is how elementary arithmetic appears from inside internal first person view.







the evolution is linear and when A looks at the particle: she is described by (A-up up) + (A-down down). (with of course 1/sqrt(2) everywhere).

the consciousness of A has differentiated into (A-up) and (A-down). With Bohr, one among A-up and A-down mysteriously disappears. With Bohm (one world + a potential simulating the entire Many-world, but "without particles") one among A-up and A-down becomes a zombie, even one lacking a body made of particles, yet, the waves describes them as being alive like you and me, and we can test it (in principle) by making quantum computation with oneself.

So I see an additional assumption in the MWI.  AG
I disagree, and Everett would disagree. I am aware most people claims Everett and Copenhagen are differet intepretations, but from a metamathematical obvious view: Everett and Copenhagen are different theories.

They have identical postulates but Everett adds another non-trivial one as I indicated above; namely, that every possible measurement is realized, that is measured, in another world. I don't see why you insist on denying something so obvious. AG
?

I think you should read Everett. he propose a new formulation of QM, and it is copenhagen with the withdrawal of the collapse postulate.

OK, Everett removes collapse, but adds the postulate that every possible outcome is measured in some other world. Breathtaking, and as I stated above non-trivial. See my remarks in last post to Clark. AG

It is not so astonishing. I expected this from the digital mechanist hypothesis even before realizing that quantum mechanics implements this. This is simply due to the (not so well known) fact that all computations are run in elementary arithmetic (EA). EA provides a block-many-worlds, although it is more a block-many computations.








All measurement are realized in the sense that no superposition ever collapse, but that it looks in that way from the first person perspective of the observer. he reduces the quantum indeterminacy to the classical self-indetermination based on amoeba-like duplication. The only problem is that his task is not finished: by using mechanism (as he recognizes explicitly in his long text) he must take into account all computations, not just the quantum one. in other word, the wave itself must be recovered, and indeed the math indicates that is possible, as quantum logics appears at the place where such task must be handled.
Everett is the SWE, and Copenhagen is SWE + collapse. We might accept that Everett theory has not yet justify all aspects of what could be the physical reality (and provably so if we assume digital mechanism in cognitive science), but, to be short, it is less crazy than any theory making the collapse into a physical phenomenon.

 Why crazy? What we seem to observe IS collapse;

yes. but that is the whole difference between a platonist and an aristotelian. The aristotelian define reality by what they see. The platonist define reality by whatever makes us to believe that we see something.

So by your lights "arithmetic" or "computation" leads us to reality, whereas the physical world is an illusion? -- a bold thesis but IMO unlikely. AG

It is a theorem in the Mechanist theory of cognition. You need to add some magic in the "physical reality" to give it a way to distinguish itself from the statistics on all computations.





And we do not observe a collapse/ We observe a cat, or something. Exactly like the wave without collapse, + a mechanist theory of mind, predicts.

Everett just soleved the mind-body problem, at the conceptual level. And partially, because my contribution here is that this *has to be* prolongated in arithmetic, and the wave must be justified itself by a statistic on all computations. It works at the proposition level: it gives quantum logic at the place of propositional physics.
that is, all probabilities evolving to zero except the measured probability evolving to 1, by an as-yet unknown physical process. AG
A unknown physical phenomenon that Einstein criticized already in 1927, by showing that the collapse would need to be non covariant.

Proof? Reference? TY, AG

That is well detailed in my french book "Physique atomique et connaissance humaine", and that specific part (Discussion avec Einstein sur des problèmes épistémologiques de la physique atomique" has been translated from the tome VII of "The Liabray of Living philosophers", Evanston, 1949, p. 199.

Normally this is also in most good selector papers on the early paper on the foundation of QM. It should be in the selected papers by Wheeler and Zurek in the Princeton Series in Physics.




The wave has to vanish instantaneously.

If a probability wave is non physical, it could do so without contradiction. AG

The problem is that if the probability amplitude is not a physical wave, we can't explained the interference obtained in Young two split experience when the particles are send one by one. The whole weirdness of QM comes from this. Now, I can agree with you that the probabilities are not physical, but subjective, but then, to keep the quantum prediction, the collapse appareance itself is not physical and we are back to the MW or the many computations.





With the many-worlds, there is no problem at all for the easy 1927 thought experience: the wave never vanishes, but you localize yourself on which branch you are in the superposition.

The measurement problem exists only when we associate a unique outcome for the experiment. With Everett, measurement are explained by interaction+entanglement. decoherence then explains why we can't see the "other branches".

Unless you can reasonably describe the content of these other worlds, as implied by my last post to Clark, you seem to be in a world of hurt (in this world btw). AG

Well, if I measure the spin of an electron up+down with a Stern- Gerlach device, the content of the "parallel worlds " are well know: it is the same content as this one world I live, except I found the electron in the opposite spin. Of course, if I decided to take some holiday in Spain or in Finland according to the spin found, the "universe" differentiates into one in which I take holiday in Spain, and one in Finland, and similar with all physical consequences.

(Now, with mechanism in mind, it is preferable to say that it is consciousness and the first person plural views which differentiate, as there is no "physical universe" well defined per se.

Bruno




I know that Bruce and Clark disagree, but in my opinion, Everett (non-collapse) solves all the conceptual problems that Einstein disliked so much in QM. We get a reversible deterministic local physical "big picture".

Now, with mechanism, this leads to no universe at all, in the aristotelian sense of the words, as the "physical universe", the wavy multiverse of Everett-Deutsch, has to be itself the winner in a deeper game played by all computations (which exists in elementary arithmetic). "All computations" is a very solid notions, thanks to Gödel's theorem which protects Church's thesis and Mechanism from a vast collection of reductionist philosophy.

Bruno
I reject this hypothesis. What I do concede is that in the case of the Multiverse of String Theory, if time is infinite and the possible universes finite -- 10^500 -- all possible universes will be, or have been, realized. AG

OK, but that is not Everett-Deustch "multiverse" (relative state, many-worlds, etc.).

Too much parsing! I was trying to explain that the Multiverse of String Theory is manifestly *different* from the Many Worlds of the MWI. AG

Yes. you are right on this. In string theory with collapse (if this could even make sense), you have 10^500 physical realities. In string theory without collapse, you have (10^500 * Infinity) physical realities, at first sight (with mechanism they are just "coherent dreams" (sigma_1 true sentences seen in the Bp & ~Bf mode) by Numbers).

Bruno


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