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American Journal of Physics

RICHARD FEYNMAN AND BELL'S THEOREM

Andrew Whitaker

Published Jun 22, 2016• 13 citations
Publisher
DOI
10.1119/1.4948268

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The Einstein-Podolsky-Rosen (EPR) paradox that argues for the incompleteness of quantum mechanics as a description of physical reality has been put to rest by John Bell’s famous theorem, which inspired numerous experimental tests and brought about further affirmations of quantum reality. Nevertheless, in his writings and public presentations, Richard Feynman never acknowledged the significance of Bell’s contribution to the resolution of the EPR paradox. In this paper, we discuss several variants of the Bell inequalities (including one that was specifically espoused by Feynman), and explore the ways in which they demolish the arguments in favor of local hidden-variable theories. We also examine the roots of Feynman’s attitude toward Bell’s theorem in the context of Feynman’s special perspective on quantum mechanics.
I identify a number of errors in Richard Gill's purported refutation (arXiv:1203.1504) of my disproof of Bell's theorem. In particular, I point out that his central argument is based, not only on a rather trivial misreading of my counterexample to Bell's theorem, but also on a simple oversight of a freedom of choice in the orientation of a Clifford algebra. What is innovative and original in my counterexample is thus mistaken for an error, at the expense of the professed universality and generality of Bell's theorem.
This publication represents the materials of the discussion that took place in a form of a “round table” during the conference “Quantum Mechanics and Philosophical Discourse” (April 14–15, 2016, RAS Institute of Philosophy, Moscow, Russia). This discussion gives information, how the outcome of quantum experiments can chance the notion of reality. Experimental checks of Bell's theorem, Legett inequality, Leggett–Garg inequality and experimental delayed choice confirm, that for quantum objects it is necessary to revise classical realism very seriously. Different approaches to interpretation of observed phenomena also discussed. Within a framework of approach of modal metaphysics is shown how to resolve traditional paradoxes of quantum theory in particular it is shown for the first time what the “secret of quantum theory”, formulated by Richard Feynman, is related to.