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A stochastic model with a \(p\)-adic distribution of latent variables and Kolmogorov physical probabilities (Q1595672)

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scientific article; zbMATH DE number 1564494
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English
A stochastic model with a \(p\)-adic distribution of latent variables and Kolmogorov physical probabilities
scientific article; zbMATH DE number 1564494

    Statements

    A stochastic model with a \(p\)-adic distribution of latent variables and Kolmogorov physical probabilities (English)
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    13 February 2001
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    The author considers a stochastic model of hidden variables, in which the distribution of hidden variables is \(p\)-adic-valued while the distribution of responses is understood in the sense of the conventional probability theory. It is shown that the Bell inequality (in its probabilistic version introduced by \textit{J. F. Clauser} and \textit{M. A. Horne} [Phys. Rev. D 10, 526-536 (1974)]) is violated for this model. Within this approach the violation of the Bell inequality is not related to the problem of space-time locality.
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    Bell inequality
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    \(p\)-adic probability
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    \(p\)-adic numbers
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    hidden variables
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    space-time locality
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