- #211
Dragrath
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I fear you are at least partly correct regarding the expectation in physics that theories against the current mainstream paradigm have to reach a threshold of rigor to even consider or warrant a level of discussion this probably has to do with a large number of ill formed ideas having been proposed by those without a sufficient background in the subject and the deeper philosophical leanings humans inquiries are focused on but there is work showing that the current means for sharing ideas which are not yet fully formed academic preprints are not reaching a wide enough audience given the high rates of information scientists have to deal with as well as the publish or perish imperative. This was discussed in Physics today earlier this year (I believe? It was either that or late last year time is all blurring together on me)Fra said:I figured by now that you think so, but I disagree even though the the link is indeed far fetched seen in the light of the current models.
But as for the general link, there are others that is associating entanglement with potential connections to quantum gravity.
https://arxiv.org/abs/1306.0533
I don't see how the unification of gravity and QM is going to happen in a reasonable way unless one considers and reconstructs some of the foundations of QM.I suspect many creative people keep these speculations private or inside their own heads, and only present the polished results, as it makes the process look cleaner than it really is. Noone wants to read the ugly process of creating a theory that may be wrong. Only once proven right, maybe you can read a little bit about it in biographies or so, but even there I think the ugly turns are omitted, to make it look more sexy.
/Fredrik
Fascinating and articulate way of addressing the measurement problem,it may not have a practical measurable effect but for progressing to unify Quantum mechanics with General relativity such a thing I had noticed similarities between frame of reference shift like behavior especially in context with when I had been looking into Wolfram's computational physics model and the large scale limit for a system evolving under a simple Turing machine if all possible orders of operations were allowed to be computed simultaneously and resolve through interference,RUTA said:Well, the part you skipped is what motivated the title of the paper. Mermin's challenge is the reason the rest of the paper was written.Brukner and Zeilinger also use this language in "Information and fundamental elements of the structure of quantum theory" where they associate a complete set of complementary spin measurements with a particular reference frame. Establishing what constitutes a reference frame is necessary to using the relativity principle aka "no preferred reference frame" (NPRF), which is the foundation of our answer to Mermin's challenge.Each of the three triplet states is rotationally invariant in a particular plane, as we explain in the paper and I explained in the Insight, "Exploring Bell States and Conservation of Spin Angular Momentum." Putting that together with NPRF per the reference frames of complementary spin measurements tells us that the SU(2) invariance of eigenvalues between different spin measurement operators per Information Invariance & Continuity entails the SO(3) invariance of spin measurement outcomes between those different inertial reference frames. Then add the fact that such measurements are actually measurements of Planck's constant h (Weinberg) and we have an exact analogy with the light postulate, NPRF + c, i.e., we have NPRF + h. So, the "mysteries" of time dilation and length contraction are due to NPRF + c while the "mysterious" Bell state correlations are due to NPRF + h. That's our answer to Mermin's challenge. Very simple, right?For those who are interested in how one might actually prepare a Bell triplet state, see this paper: Dehlinger, D. & Mitchell, M. Entangled photons, nonlocality, and Bell inequalities in the undergraduate laboratory. American Journal of Physics 70, 903–910 (2002).Keep in mind that you're simply making a statement of your ignorance here. These and many other highly accomplished physicists did and do discuss issues concerning the understanding of QM. Once you understand what it is that bothers them, then you can address their concerns (if you so choose) rather than simply expressing the fact that you are ignorant of them."I think I can safely say that nobody understands quantum mechanics." Feynman, Probability and Uncertainty; The Quantum Mechanical View of Nature.
"All of modern physics is governed by that magnificent and thoroughly confusing discipline called quantum mechanics. It has survived all tests and there is no reason to believe that there is any flaw in it. We all know how to use it and and how to apply it to problems; and so we have learned to live with the fact that nobody can understand it." Gell-Mann in The Unnatural Nature of Science, p. 144.
"Everybody who has learned quantum mechanics agrees how to use it. 'Shut up and calculate!' There is no ambiguity, no confusion, and spectacular success. What we lack is any consensus about what one is actually talking about as one uses quantum mechanics. There is an unprecedented gap between the abstract terms in which the theory is couched and the phenomena the theory enables us so well to account for. We do not understand the meaning of this strange conceptual apparatus that each of us uses so effectively to deal with our world. ... What the hell are we talking about when we use quantum mechanics? For practical purposes ordinary everyday quantum mechanics is just fine, and what I have to say is of little or no interest. It is my hope to interest those who, like me, are impractical enough always to have been bothered, at least a bit, by not knowing what they are talking about." Mermin, Making Better Sense of Quantum Mechanics. 2019 Rep. Prog. Phys. 82 012002
You may just have to accept the fact that you will never understand what bothered Einstein, Weinberg, Mermin, Gell-Mann, Feynman, and many others about QM. You simply cannot relate, so you have nothing to contribute to such discussions. I wish I could help you!
Now note for larger context I'm still quite skeptical that even if their model is correct that they would ever be able to isolate the rule or possibly rules which govern such a computational universe but that is a very different problem, the point of interest for me was how naturally in that limit the model appears to result in the Feynman path integral emerging as a solution to the general formalism of the Einstein field equations in a space of Hamiltonian(energy) states which opened up my mind to the prospects of general relativity playing far more of a role in unifying gravity than has been long assumed. Plus with the quantum Zeno effect naturally being a product of time dilation in such a scenario it sound like a quite promising path towards understanding the measurement problem more broadly. In that light superdeterministic behavior becomes so much more natural as reference frame effects with probabilities in principal potentially representing curvature in this state space of the Feynman path integral, i.e. the nonlocal effects are related to the observers frame of reference shifting rather than an intinsic change in the state of the system. Thus it doesn't surprise me that work if finding potential links between relativity and quantum state observations.
Whoops forgot to post my reply on this
Edit adding latter points while still last comment:
I think you might get something out of Inhomogenous and anisotropic cosmology by Matthew Kleban and Leonardo Senatorehutchphd said:It is "ad hoc" because that is what it is (it flows from no more fundamental consideration)
It clearly doesn't bother you so you have answered my question I believe.. I guess part of me thinks the arrow of time should somehow appear on a celestial billboard !
https://iopscience.iop.org/article/10.1088/1475-7516/2016/10/022/meta
This article while stopping far short of exploring the full implications of its result contains a powerful metamathematical proof by self contradiction which shows that for the general Einstein field equations that all nontrivial flat or open universes must have an irreversible arrow of time. More precisely the theorem shows that for any time slice of spacetime there will always be another larger timeslice that is to say that there can not exist any universal inflection point in the direction of expansion or contraction.
The proof of this theorem the No big crunch theorem as it is defined in context to an initially accelerating universe like we appear to live in based off observations, so no closed timelike geodisics are allowed in a flat or open universe which is kind of self explanatory. More striking however is the mathematical formalism for this total volume of space constraint which will be valid for any frame of reference as it mathematically holds the same form as the second law of thermodynamics with volume in place of entropy. This starts to make more sense if you remember that the Einstein field equations are a system of partial differential equations which mathematically by definition must have a unique solution for each and every possible valid initial condition. Given the infinite nature of flat or open universes this volume link starts to make lot more sense as you can think of a volume in which information can or can not have yet propagated in essence defining an associated entropy link for any nontrivial flat or open universe. I should also note for the discussion of entanglement that this has implications here as it means that the contributions to the metric for every single bit of information on the Universes initial conditions is always nonzero. In Bell's words this would be what he defines as the absence of free will a thought which terrified him but here we can see this is merely an enforced conservation law on information.
After all the same mathematics also properly describes a time reversed and contracting nontrivial flat or open universe.
Thus in this larger context both the irreversible arrow of time and the appearance of nonlocality are relatively automatic consequences of the conservation of information in the context of Noether's theorem. And as is one of the foundational postulates of quantum mechanics it should be no surprise that we see nonlocality in quantum mechanics given that we observe our universe is expanding.
This clearly is an incomplete proof as the means by which it was derived are only applicable for flat or open cosmologies but it does suggest a natural avenue towards quantum gravity particularly the gravitational path integral as the sum of all possible and impossible metric contributions for information in the Universe.
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