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Why god might play dice

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Abstract

We study the question of the existence of hidden variables within the formalism of Pitowsky. We show that probabilities admit factorizable hidden variable models iff they admit a Kolmogorovian representation. In particular, directly deduced experimental frequencies always admit a factorizable hidden variable model and thus a Kolmogorovian representation. We apply this result in the framework of Bell's inequalities. We show that a deterministic interpretation of the hidden variables associated with this situation refutes the possibility for the experimenter of choosing freely the conditions of experimentation.

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Authors and Affiliations

  1. Department of Theoretical Physics, Free University of Brussels, Pleinlaan 2, B-1050, Brussels, Belgium

    Thomas Durt

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  1. Thomas Durt
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Additional information

According to the convention introduced by Pitowsky (Pitowsky, 1989), we mean by the truth-value of an experimental outcome the probability of realization of this outcome. A deterministic truth-value is equal to 0 or 1 by definition.

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Durt, T. Why god might play dice. Int J Theor Phys 35, 2271–2284 (1996). https://doi.org/10.1007/BF02302446

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  • DOI: https://doi.org/10.1007/BF02302446

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