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Entropy 2017, 19(4), 180; doi:10.3390/e19040180

Using Measured Values in Bell’s Inequalities Entails at Least One Hypothesis in Addition to Local Realism

Centro de Investigaciones en Láseres y Aplicaciones (CEILAP), UNIDEF (MINDEF-CONICET), CITEDEF, J.B. de La Salle 4397, Villa Martelli 1603, Argentina
Academic Editors: Giorgio Kaniadakis, Olimpia Lombardi and Kevin H. Knuth
Received: 22 February 2017 / Revised: 17 April 2017 / Accepted: 20 April 2017 / Published: 22 April 2017
(This article belongs to the Special Issue Foundations of Quantum Mechanics)
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Abstract

The recent loophole-free experiments have confirmed the violation of Bell’s inequalities in nature. Yet, in order to insert measured values in Bell’s inequalities, it is unavoidable to make a hypothesis similar to “ergodicity at the hidden variables level”. This possibility opens a promising way out from the old controversy between quantum mechanics and local realism. Here, I review the reason why such a hypothesis (actually, it is one of a set of related hypotheses) in addition to local realism is necessary, and present a simple example, related to Bell’s inequalities, where the hypothesis is violated. This example shows that the violation of the additional hypothesis is necessary, but not sufficient, to violate Bell’s inequalities without violating local realism. The example also provides some clues that may reveal the violation of the additional hypothesis in an experiment. View Full-Text
Keywords: Bell’s inequalities; non-ergodic dynamics; optical tests of quantum theory Bell’s inequalities; non-ergodic dynamics; optical tests of quantum theory
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Hnilo, A.A. Using Measured Values in Bell’s Inequalities Entails at Least One Hypothesis in Addition to Local Realism. Entropy 2017, 19, 180.

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