Timeline for Why do people rule out local hidden variables?
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Oct 31, 2021 at 15:34 | comment | added | G. 't Hooft | Typo in second paragraph: (classically: all its states are always equally probable. The fast variables resemble "pilot waves”). They ... | |
Oct 31, 2021 at 15:22 | comment | added | G. 't Hooft | The original description of this universe will be that it starts out, again, as being in one of the ontic automaton states, but now I can use the fast ("hidden") variables to define any superposition of states. One objection that has been raised was that "rotations" are hard to understand. Indeed they are, but there are no "forbidden corners" in probability space. | |
Oct 31, 2021 at 15:22 | comment | added | G. 't Hooft | Writing all this in terms of elements in Hilbert space is entirely legitimate. This means that, in the Schroedinger equation that describes the evolution of the slow variables, due to interactions, the wave function of the fast guys enters. New result is that now: the slow variables can evolve in what behaves exactly like superimposed states, and this way any effective N x N hermitian Hamiltonian for the slow states can be mimicked as accurately as you want. An eperimenter in this world will conclude that (s)he sees quantum mechanics. | |
Oct 31, 2021 at 15:20 | comment | added | G. 't Hooft | The slow variables are a CA that can be in N distinct states - where N may be as large as you want but, as yet, finite -, and M > N fast variables; the fast variables are periodic, with periods too short to be detected by the observer, or, these fast variables are described by a Hamiltonian whose eigenvalues are too far separated to be excited in any "slow" experiment. This implies that the fast variables all come in only one state: |E_fast = 0> (classically: all its states are always equally The fast variables resemble "pilot waves", probable). they determine the CA interactions. | |
Oct 31, 2021 at 15:17 | comment | added | G. 't Hooft | It has been some time that this discussion was dormant. Many of you raised important discussion elements, thank you. I now wish to announce my newest paper on the subject, arxiv:2103.04335[quant-ph]. What it adds is that now I have an improved preocedure to see where the "wave functions" and "phases" may enter into the classical CA picture. It is not a necessary ingredient for the theory itself, but rather an explanation how this thing works by constructing an explicit model. The model separates "slow variables" from "fast variables". | |
Apr 23, 2013 at 15:08 | comment | added | Qmechanic♦ | Dear Manuel Morales: For your information, Physics.SE has a policy that it is OK to cite oneself, but it should be stated clearly and explicitly in the answer itself, not in attached links. | |
S Apr 23, 2013 at 8:31 | review | Late answers | |||
Apr 23, 2013 at 10:34 | |||||
S Apr 23, 2013 at 8:31 | review | First posts | |||
Apr 23, 2013 at 9:24 | |||||
Apr 23, 2013 at 8:13 | history | answered | Manuel Morales | CC BY-SA 3.0 |