Quantum Mysteries for No One

Lad, Frank

doi:10.4236/jmp.2021.129082

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…It will be shown in the bulk of this review that Mermin's approach is not "elementary" but oversimplified and does no justice to the complexities of the actual experiments. Similar conclusions have also been reached by other authors (see, e.g., [27]) for a variety of different reasons. With regard to more complex codomains of the Bell functions, see also [28].…”

Section: The Actual Model Of Bell-chshsupporting

confidence: 91%

A Critical Review of Works Pertinent to the Einstein-Bohr Debate and Bell’s Theorem

Hess

2022

Symmetry

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This review is related to the Einstein-Bohr debate and to Einstein–Podolsky–Rosen’s (EPR) and Bohm’s (EPRB) Gedanken-experiments as well as their realization in actual experiments. I examine a significant number of papers, from my minority point of view and conclude that the well-known theorems of Bell and Clauser, Horne, Shimony and Holt (CHSH) deal with mathematical abstractions that have only a tenuous relation to quantum theory and the actual EPRB experiments. It is also shown that, therefore, Bell-CHSH cannot be used to assess the nature of quantum entanglement, nor can physical features of entanglement be used to prove Bell-CHSH. Their proofs are, among other factors, based on a statistical sampling argument that is invalid for general physical entities and processes and only applicable for finite “populations”; not for elements of physical reality that are linked, for example, to a time-like continuum. Bell-CHSH have, furthermore, neglected the subtleties of the theorem of Vorob’ev that includes their theorems as special cases. Vorob’ev found that certain combinatorial-topological cyclicities of classical random variables form a necessary and sufficient condition for the constraints that are now known as Bell-CHSH inequalities. These constraints, however, must not be linked to the observables of quantum theory nor to the actual EPRB experiments for a variety of reasons, including the existence of continuum-related variables and appropriate considerations of symmetry.

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Section: The Actual Model Of Bell-chshsupporting

confidence: 91%

A Critical Review of Works Pertinent to the Einstein-Bohr Debate and Bell’s Theorem

Hess

2022

Symmetry

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Resurrecting the Prospect of Supplementary Variableswith the Principle of Local Realism

Lad¹

2022

AppliedMath

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I produce a coherent mathematical formulation of the supplementary variables structure for Aspect’s experimental test of Bell’s inequality as devised by Clauser, Horne, Shimony, and Holt, a formalization which has been widely considered to be impossible. Contrary to Aspect’s understanding, it is made clear that a supplementary variable formulation can represent any tendered probability distribution whatsoever. This includes both the QM distribution and the “naive distribution”, which he had suggested as a foil. It has long been known that quantum theory does not support a complete distribution for the components of the thought experiment that underlies the inequality. However, further than that, here I identify precisely the bounding polytope of distributions that do cohere with both its explicit premises and with the prospect of supplementary variables. In this context, it is found once again that every distribution within this polytope respects the conditions of Bell’s inequality, and that the famous evaluation of the gedankenexpectation defying it as 22 is mistaken. The argument is relevant to all subsequent embellishments of experimental methodology post Aspect, designed to block seven declared possible loopholes. The probabilistic prognostications of quantum theory are not denied, nor are the experimental observations. However, their inferential implications have been misrepresented.

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Quantum Mysteries for No One

Cited by 2 publications

References 13 publications

A Critical Review of Works Pertinent to the Einstein-Bohr Debate and Bell’s Theorem

A Critical Review of Works Pertinent to the Einstein-Bohr Debate and Bell’s Theorem

Resurrecting the Prospect of Supplementary Variableswith the Principle of Local Realism

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