Geodesic
EPR--Bohm experiment and Bell's inequality: Quantum physics meets
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 1, pp. 99-115

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Our main aim in this paper is to inform the physics community (and especially experts in quantum information) about investigations of the problem of the probabilistic compatibility of a family of random variables: the possibility of realizing such a family based on a single probability measure (of constructing a single Kolmogorov probability space). These investigations were started a hundred years ago by Boole. The complete solution of the problem was obtained by the Soviet mathematician Vorobiev in the 1960s. It turns out that probabilists and statisticians obtained inequalities for probabilities and correlations that include the famous Bell's inequality and its generalizations.
Keywords: Bell's inequality, nonlocality, “death of reality”, probabilistic incompatibility of random variables, Boole's necessary condition, Vorobiev theorem, contextual description of the EPR–Bohm experiment. 
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     author = {A. Yu. Khrennikov},
     title = {EPR--Bohm experiment and {Bell's} inequality: {Quantum} physics meets},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. Yu. Khrennikov. EPR--Bohm experiment and Bell's inequality: Quantum physics meets. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 1, pp. 99-115. http://geodesic.mathdoc.fr/item/TMF_2008_157_1_a6/