- #36
julcab12
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... I'm always getting reminded to be very critical, skeptic and careful. MWI is no exemption. So i'll leave a note to these guys.
julcab12 said:... I'm always getting reminded to be very critical, skeptic and careful. MWI is no exemption. So i'll leave a note to these guys.
That is where the problem lies.craigi said:In the MWI the different worlds 'exist' in an abstract mathematical space, Hilbert Space. So don't take this visualisation too literally.
stevendaryl said:There is a slight difference between the problems of MWI and the problems of other interpretations. With MWI, the problem is purely about how to interpret the theory. The theory itself is unambiguous, it seems to me (just a state vector evolving continuously and unitarily). But in the case of other interpretations of QM, the problems are about additions to (or exceptions to) unitary evolution. Bohm's theory has additional "elements of reality", namely definite particle locations at all times. Von Neumann's "collapse" interpretation has an additional type of state change--collapse following an observation.
atyy said:Even if one used a purely subjective definition of the state, that doesn't mean that one is using a Bayesian interpretation of probability. Frequentists and Bayesians differ about the interpretation of Kolmogorov's axioms, which has no concept of the quantum state. So even if one considers the state "subjective", the probability obtained from the Born rule can be Frequentist.
No objections. But i was wondering since he strongly stated. " The potential for multiple worlds is always there in the quantum state, whether you like it or not." Would we be able to get a different viewpoint on that manner? "Yes! It appears we are detecting seemingly series of different state + classical time. We should make a basic assumption from it -- Multiples". BUt wait! How about Time? Would it have any effect on that scale -- Like a gravitational time dilation/ distortion or/ lensing that causes things to appear decohered. Think of like visual slices of possible outcomes. It should have decoherance of time not just a decoherence of state.atyy said:Carroll does not claim MWI is without problems. He gives a list of serious issues in the MWI approach about which consensus has not been reached in http://www.preposterousuniverse.com...ion-of-quantum-mechanics-is-probably-correct/.
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stevendaryl said:In my opinion, frequentism is just a collection of rules-of-thumb for dealing with probability. It isn't an interpretation of probability. To say that probability means frequency is nearly vacuous. Any real experiment is only conducted a finite number of times, so the concept of relative frequency in the limit of infinitely many trials seems irrelevant. Now, what you can do, with a finite number of trials, is to compute the probability that the observed relative frequency is different from the theoretically predicted probability, and you can argue that for a large enough number of flips of an unbiased coin, the difference between the relative frequency of heads and 1/2 will be vanishingly small, with a probability close to 1. But that latter part--"with a probability close to 1"--is using some theoretical notion of probability that is NOT given a frequentist meaning.
atyy said:Is the latter part in the law of large numbers really not given a Frequentist meaning? It would seem consistent to apply the Frequentist meaning there too. It would be nearly vacuous as you say, or at least circular. But I think it is as vacuous as physics - what is a charge? It is a thing on which an electric field exerts a force. What is an electric field? It is a thing which exerts a force on a charge. It is saved because we somehow have conventions as to what operations in real life correspond to certain dynamics of the mathematical objects.
stevendaryl said:The law of large numbers says (in a quantitative way) that the probability that relative frequency for many repeated events differs significantly from the probability of a single event goes to zero as the number of repetitions goes to infinity. So using the law of large numbers to justify a frequentist interpretation of probability seems circular, as you say. I don't have any problem with circular definitions, but if you're using a circular definition, then you're not really defining the concepts, you're just axiomatizing them. So you're basically treating "probability" as an undefined term. If that's what you're doing, then it's not really frequentist, it's just abstract probability, which doesn't distinguish between frequentism and Bayesianism.
stevendaryl said:The only real source of disagreement between frequentists and Bayesians, it seems to me, is over whether it is meaningful to talk about probability of something that only happens once (or a small number of times). But the blunt fact is that EVERYTHING only happens once or a small number of times (for some definition of "small"). We always have a limited collection of samples. So the frequentist disdain for talking about probabilities on a small sample space really to me makes it impossible to do anything with probabilities (except through ad hoc means, such as cut offs and levels of significance, etc., which are not justified by the frequentist interpretation, as I already said).
bhobba said:As I have pointed out to you before the issue has yet to be resolved one way or the other. Certain key mathematical theorems are lacking.
I have seen papers where for simple models it is shown the results do NOT depend on the factorisation. They however need to be extended, and that hasn't been done yet.
Quantumental said:At this moment in time, due to it's severe flaws, we have absolutely no reason to assume that these will just "work themselves out" anymore than we have a good reason to think that Bohm will somehow do away with it's problems with relativity.
Quantumental said:At this moment in time, due to it's severe flaws, we have absolutely no reason to assume that these will just "work themselves out" anymore than we have a good reason to think that Bohm will somehow do away with it's problems with relativity.
atyy said:I have a question. Some MWI advocates described Bohmian Mechanics as "Everett in denial". If this is the case, and given that there is high confidence with Bohmian Mechanics at least for non-relativistic physics, couldn't Bohmian Mechanics solve the problems of MWI, eg. simply asserting that all BM worlds are real and exist?
Quantumental said:But then it is very misleading to suggest that MWI is "beauty incarnate" and "mathematical elegance".
Quantumental said:Could you link?
julcab12 said:Are there any similar effect in QM's vacuum or am i misunderstanding something on the vacuum effect?
bhobba said:Precisely why? For example what exactly is wrong with the decision theory analysis of Wallace that proves Born? I have gone through it in Wallace's book - The Emergent Multiverse and on page 475 has the Noncontextuality Theorem that he believes follows from any rational 'reward' function defined on the states. If its non-contextual then Gleason applies. Its a complex mathematical argument but I would like to know exactly what its flaw is. On page 189 he discusses why other possible ways of defining a rational 'probability' of outcomes is wrong. I believe its somewhat 'circular' in that if you go through them basically they are saying you can't reasonably define a decision type function on the space unless its basis independent - which is the essence of non-contextuality. But it's a rigorous elaboration of the idea.
atyy said:but he indicates it is controversial
bhobba said:These are issues not confined to MW but crop up all over the place. I think far too much weight is given to them personally - they are issues - but not the big deal some want to make out they are.
bhobba said:What do you mean by he 'vacuum effect'?
The QFT vacuum is simply an artefact of the perturbation methods used and isn't really a teeming with particles popping in and out of existence as popularisations tell you.
A word of warning - just about anything you read outside a QFT textbook on QFT is likely wrong. Or to be more precise is a lot more nuanced than a literal reading.
Thanks
Bill
atyy said:What's your take (and anyone else who wants to comment) on Zurek's comment in http://arxiv.org/abs/1412.5206: "Quantum Darwinism shows why only such redundantly recorded pointer states are accessible to observers|it can account for perception of `quantum jumps'
atyy said:However, full account of collapse involves 'consciousness', and may have go beyond just mathematics or physics."
julcab12 said:I'm referring to the vacuum where particle is observed in a state of superposition.
julcab12 said:Time is not a property of Quantum system so it makes no sense to promote it to an operator..Position of a particle however is a particular property of the system so it is an observable & hence an operator.. Time on the other hand is a universal property independent of any system..In fact this the beginning of Quantum Field theory where you demote position to a label to bring time & position on equal footing to get a Lorentz invariant theory."
Demystifier stressed a number of times that dBB depends on decoherence. If this is true, it isn't clear to me how dBB may remove the ambiguity of the splitting process from the MWI. Wouldn't you need to introduce something which specifies when the off-diagonal elements of the density matrix are small enough?atyy said:I have a question. Some MWI advocates described Bohmian Mechanics as "Everett in denial". If this is the case, and given that there is high confidence with Bohmian Mechanics at least for non-relativistic physics, couldn't Bohmian Mechanics solve the problems of MWI, eg. simply asserting that all BM worlds are real and exist?
kith said:Demystifier stressed a number of times that dBB depends on decoherence. If this is true, it isn't clear to me how dBB may remove the ambiguity of the splitting process from the MWI.
bhobba said:That's the other issue I have with the factorisation problem supposedly invalidating MW. A number of interpretations make use of decoherene eg DBB (as you mention) but also my ignorance ensemble and even Consistent Histories (its required to enforce that interpretations consistency condition). If its invalided by factorisation then we are in deep do do.
I know in the link I gave it was said those other interpretations by the assumption of macro objects called observational devices have a natural way around it, but decoherence is now beyond that eg as I often mention a few stray photons is enough to decohere a dust particle and give it a definite position. That goes out the door.
bhobba said:I have zero idea where you got that from.
I saw a poll that was took at some conference, it may have even been a string theory one, and that most definitely was NOT the view of most physicists - Copenhagen was still the most favoured one.
Brian Green, for example, ascribes to Qbism (interesting discussion as well):
However MW is one of the most popular interpretations - as I said its mathematical elegance is striking.
Thanks
Bill
jimmylegss said:But that still means pure randomness exists in our universe, since we cannot look into other universes.
rootone said:Brownian motion?, well it can be described in math, but hey it can be seen as well, - that doesn't explain very much.
and we can describe what we see as math ...bhobba said:The math describes what we see.
Thanks
Bill