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Quantum Matter

The Irrelevance of Bell Inequalities in Physics: Comments on the DRHM Paper

Elemér Elad Rosinger

Published Mar 25, 2014• 4 citations
Publisher

Abstract

It was shown in [1], cited in the sequel as DRHM, that upon a correct use of the respective statistical data, the celebrated Bell inequalities cannot be violated by quantum systems. This paper presents in more detail the surprisingly elementary, even if rather subtle related basic argument in DRHM, and does so together with a few comments which, hopefully, may further facilitate its wider understanding. 1.

DOI
10.1166/qm.2014.1153

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It was shown in [1], cited in the sequel as DRHM, that upon a correct use of the respective statistical data, the celebrated Bell inequalities cannot be violated by quantum systems. This paper presents in more detail the surprisingly elementary, even if rather subtle related basic argument in DRHM, and does so together with a few comments which, hopefully, may further facilitate its wider understanding. 1.
In a remarkably insightful pair of papers recently, Sica demonstrated that: dichotomic data taken in any experiment that violates Bell’s inequalities “cannot represent any data streams that could possibly exist or be imagined” if it is to be consistent with the derivation of the inequalities.[1] The present writer maintains, however, that corrections in the formulation of Bell’s analysis loosen restrictions imposed by Bell inequalities. Moreover, it is argued that the resolution proposed by Sica for the conflict arising from the fact that real data does violate Bell inequalities, namely that the functional form of the correlations considered by Bell must be amended, is untenable on physical grounds. Finally, an alternate resolution is
The aim of this note is to attract once again attention of the quantum community to statistical analysis of data which was reported as violating Bell's inequality. This analysis suffers of a number of problems. And the main problem is that rough data is practically unavailable. However, experiments which are not followed by the open access to the rough data have to be considered as with no result. The absence of rough data generates a variety of problems in statistical interpretation of the results of Bell's type experiment. One may hope that this note would stimulate experimenters to create the open access data-base for, e.g., Bell tests. Unfortunately, recently announced experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km was not supported by open-access data. Therefore in accordance with our approach "it has no result." The promising data after publication is, of course, a step towards fair analysis quantum experiments. May be this is a consequence of appearance of this preprint, v1. But there are a few questions which would be interesting to clarify before publication (and which we shall discuss in this note).
In a remarkably insightful pair of papers recently, Sica demonstrated that: dichotomic data taken in any experiment that violates Bell's inequalities ``cannot represent any data streams that could possibly exist or be imagined'' if it is to be consistent with the derivation of the inequalities.\cite{sica} The present writer maintains, however, that corrections in the formulation of Bell's analysis loosen restrictions imposed by Bell inequalities. Moreover, it is argued that the resolution proposed by Sica for the conflict arising from the fact that real data does violate Bell inequalities, namely that the functional form of the correlations considered by Bell must be amended, is untenable on physical grounds. Finally, an alternate resolution is proposed.
Ever since the celebrated 1964 paper of John Bell, the statement that " Quantum systems violate the Bell inequalities " , [1,2], has a very large support among quantum physicists as well as others claiming some knowledge about quanta. Amusingly, it has so far escaped the general notice that, if indeed, quanta do violate that Bell inequalities, then-due to elementary facts of Logic-they must also violate all other valid mathematical relations, thus among them, the equation 0 = 0. Here the respective elementary facts of Logic are presented.