On 03 Dec 2017, at 18:21, [email protected] wrote:



On Sunday, December 3, 2017 at 2:07:17 PM UTC, Bruno Marchal wrote:

On 01 Dec 2017, at 00:20, [email protected] wrote:



On Thursday, November 30, 2017 at 11:16:07 PM UTC, [email protected] wrote:


On Thursday, November 30, 2017 at 9:47:37 PM UTC, Bruce wrote:
On 30/11/2017 10:59 pm, [email protected] wrote:
On Thursday, November 30, 2017 at 11:42:51 AM UTC, Bruce wrote:
On 30/11/2017 10:32 pm, [email protected] wrote:
On Thursday, November 30, 2017 at 4:08:20 AM UTC-7, Bruce wrote:
On 30/11/2017 9:53 pm, [email protected] wrote:
On Wednesday, November 29, 2017 at 10:40:36 PM UTC, Bruce wrote:
On 30/11/2017 5:31 am, John Clark wrote:
On Tue, Nov 28, 2017 at 10:59 PM, Bruce Kellett <[email protected]> wrote:

​ >​ ​I see no reason all the Everett worlds have the same physics,

​ > ​ Everettian worlds follow from assuming that the Schrödinger equation applies everywhere without exception, so that all physical evolution is unitary. A change in the underlying physics -- such as a change in the value of fundamental constants, Planck's constant or Newton's constant for example -- would not be unitary, so cannot occur in MWI.

​ Why can't it be unitary?? Show me why if ​ ​ Newton's constant had any value other than ​ ​ 6.754* 10^-11 m3 kg^−1 s^−2 ​ ​ the sum of all quantum probabilities would no longer add up to exactly 1. If you can really do that then you've just derived Newton's constant directly from first principles and you should but a ticket to Stockholm right now because you're absolutely certain to win the next nobel Prize.
Although unitarity does mean that probabilities always sum to unity, that is a consequence of unitary evolution, not a definition of it. A unitary transformation is one that can be reversed: so the unitary operator U can be written as exp(-iH), for example, and the complex conjugate (or the adjoint for hermitian operators) is the inverse transformation.
Considering the evolution of the wf, if there exists a DE that describes the collapse process, would it necessarily be nonlinear? Is nonlinear a problem; that is, what is the downside to nonlinear? How would it effect the issue of hidden variables? TIA, AG

Collapse would be non-linear and non-unitary -- intrinsically non-reversible. This is not necessarily a problem since there are plenty of non-linearities in physics. It has nothing to do with hidden variables.

Why would it be non linear? Brent claimed (on page 1)

Page 1 of what?

On Google it's organized as pages, now up to page 15. Go to top of thread and read second message by Brent. AG

that if the QM could be made deterministic, say by a DE that described collapse, it would imply awful consequences, such as the future determining the past.

No, it wouldn't imply that.

Would making QM into a deterministic theory imply an inconsistency in the postulates of QM? TIA, AG

QM in MWI is deterministic. Bohm's theory is deterministic, though expressly non-local. Determinism is not really an issue. One world theories are intrinsically random, not deterministic.

How can MWI be deterministic if it can't tell us what outcome we will observe in this world, or any other? AG

Because MWI says that all outcomes are realized, each in a separate world. Apparent randomness comes about because we don't know which world we will end up in (though we actually end up in all the worlds, so we, or our duplicates, observe all possible outcomes).

Bruce


OK. I wouldn't use "deterministic" to describe that situation, but that's neither here nor there.

More important is Brent's reply to my question which started this discussion thread. He stated that a deterministic ONE WORLD version of QM would have dire effects, such as the future influencing the past. His exact words are in the 2nd message in this discussion. You don't seem to share this view. I know that Bohm developed a deterministic version of QM which is expressly non-local and not covariant. I don't think it's what Brent was referring to.

Also, I noticed that Bruno, our resident enthusiast of arithmetic as the solution to all enigmas,

That is very elegant mathematically, but I am not necessarily enthusiast about this, and sometimes I call Mechanism terrifying thinking. At the first sight it entails that agonies are infinite, as your consciousness survives in the closest environment/ computations logically possible, and there are an infinity of them. Nothing funny there.

The point is that it is a logical consequence of what is perhaps the oldest hypothesis in science: that life is a mechanism. Of course, the infinite agony might end ... because things are more subtle when doing the math, so no need to despair prematurely of mechanism either. Computer science suggests some "jumps", which makes the prediction there very difficult, but all in all, sometimes I wish death is an end. That is made impossible with mechanism, as Descartes and many others intuited correctly.

By "mechanism", I see you mean "materialism", the theory that life and consciousness can be explained by the motion and interaction of atoms and molecules. I see no evidence that death is not implied by materialism. I've experienced the passing away of many, and its permanence is very convincing. Moreover, cut a nerve and sensation ceases; be injected with an anesthetic and one loses consciousness in a matter of seconds. All pretty convincing that materialism is on the right track, as opposed to speculation and fantasies about mathematics and arithmetic. AG


?

By mechanism I mean the idea that we can survive with an artificial *digital* brain. Precisely: that it exists a level of granularity so that I survive, or my first person experience remains unchanged, through a digital (physical) simulation of my brain at that level.

This is believed indeed by many materialists, but they use mechanism to hide the mind-body problem. When, actually, Mechanism can be shown incompatible with very weak form of materialism or physicalism.

To understand this, you need to understand a bit of computability theory (alias Recursion Theory). Computation, simulation, emulation, are concepts that can be defined in the arithmetical language, and the existence of computations can be made in very small fragment of arithmetic.

Then the problem, for the (Löbian) universal machine, which plays the role of the believer/knower/observer, cannot made a difference from its First Person perspective (1p view) between being supported by arithmetic or being supported by something physical, or whatever. It cannot know which computations support it, among the infinitely many which exists, and eventually, the physical appearance have to be explained in term of the observable by the machine. This gives a way to test between mechanism and materialism (roughly speaking, because we could also be failed by our descendent, to be logically complete).

I am the one not speculating. I assume a widespread believed hypothesis (its contrary needs some magic).

I can prove the existence of the computations, if you are OK with 2+2=4, and, assuming that mechanism, it leads to a gigantic, highly structured web of "dreams". Then the math confirms the intuitionist logic for the knower, and quantum logics for observer (using only the classical definition provided by the greeks, and defining "rational belief" by Gödel's provability predicate.

The main advantage here is that the logic of self-reference splits most of the logics in two, and justify why some part are not rationally justifiable, and some parts are rationally justified. Quanta are recovered (up to now) by a notion of first person plural sharable qualia.

Other advantage. For the basic assumption we need only very elementary (non Löbian, but Turing Universal) arithmetic, or anything Turing equivalent, like any first order specification of any Turing universal system.


Bruno







This entails also that, in physics, Everett, who used a rough informal form of Mechanism, has done only one half of the work. It remains to explain the wave itself phenomenologically. It is not a matter of choice but of intellectual rigor. Invoking Primary Matter in a mechanist metaphysics is as much wrong than invoking God in the explanation of the existence of the universe. It just doesn't work. It is not logically valid. That does not mean that God does not exist, but it means that it cannot be used in explanation, nor in moral (!). The case of Pirmary Matter is worst, it leads to inconsistencies (with even very weak form of Mechanism).




stated that Weinberg showed that a non-linear SWE to explain collapse would imply that the laws of thermodynamics are flawed. Is this your understanding?

Somehow, yes. Weinberg wrote a paper(*) showing that if we assume that the fundamental wave equation is non linear, and still getting the QM predictions already verified, then the "parallel universes" can interact with each others, and that this possibility entails the need to abandon almost all of today's physics. The conclusion is that it is foolish to try to solve the conceptual problem of QM by searching a non linear equation in place to the usual linear one. Even Bohm add a non linear potential, but keep the linear SWE.

Bruno

(*) I don't find my old photocopy, but I am pretty sure you will find it (and many related papers) by searching on "weinberg's nonlinear quantum mechanics".



TIA, AG

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