6 v 1 1 3 A ug 2 00 2 Classical information and Mermin ’ s non - technical proof of the theorem of Bell

Abstract

We show that Mermin’s reasoning against our refutation of his non-technical proof for Bell-type inequalities is of limited significance or contains mathematical inconsistencies that, when taken into account, do not permit his proof to go forward. Our refutation therefore stands. We discuss two recent notes of Mermin [1], [2] that deal with our refutation [3] of Mermin’s non-technical proof [4] of Bell’s inequalities and other publications related to this discussion [5]-[8]. We first show, that the latest note [2] does not add any substance to our original refutation [3], [9]. Secondly, we give a more detailed explanation of our original refutation. Mermin discusses in his latest note [2] the admissibility of certain classical information that can be exchanged between the stations S1 and S2 in EinsteinPodolsky-Rosen (EPR) type experiments. All classical information is permitted except “ ...any information whatever about the setting it has randomly been given in that run.” Mermin writes: “Let us turn Hess and Philipp upside down and explore the extent to which Bell’s theorem survives, not only if, following Hess and Philipp, we take advantage of properties of the detectors correlated by the time on local synchronized clock’s, but even if we allow further correlation of the detectors through direct straightforward ongoing classical communication between them.” What Mermin does not appreciate here is, that our introduction of time as an independent variable in Bell’s functions A,B adds not only time as a variable but also adds the set of all functions of time and settings. Indeed, we have stated repeatedly and clearly that our extension of Bell’s parameter space is the addition of functions of time and settings, namely the addition of time and setting dependent parameter random variables λ∗a,t, λ ∗ b,t, λ∗c,t for station S1 and λ ∗∗ a,t, λ ∗∗ b,t, λ ∗∗ c,t for station S2. The structure of these functions may be constituted such as to carry information about some of the history of how and when the settings were and are actually chosen and thus may contain information on the setting of the given run. Therefore these functions (parameter random variables) cannot be communicated

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Cite this paper

@inproceedings{Philipp20026V1, title={6 v 1 1 3 A ug 2 00 2 Classical information and Mermin ’ s non - technical proof of the theorem of Bell}, author={Walter Philipp}, year={2002} }