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By A.. Khrennikov, A. Khrennikov
During this quantity, prime specialists in experimental in addition to theoretical physics (both classical and quantum) and chance conception supply their perspectives on many exciting (and nonetheless mysterious) difficulties concerning the probabilistic foundations of physics. the issues mentioned through the convention comprise Einstein-Podolsky-Rosen paradox, Bell's inequality, realism, nonlocality, position of Kolmogorov version of chance thought in quantum physics, von Mises frequency thought, quantum info, computation, "quantum results" in classical physics.
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Formula (13) in Bell's '64 paper) is true almost everywhere. Proof. Follows from Lemma (1) with the choice f = Sx , g = Si'. Summing up: if you want to compare the predictions of a hidden variable theory with quantum theory in the EPR experiment (so that at least we admit the validity of the singlet law) then the hidden assumption, of realizability of all the random variables in (3) in the same probability space, (without which Bell's inequality cannot be proved) implies the same conclusion of the counterfactual argument.
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8. J. S. Bell, in Proceedings of the international School of physics 'Enrico Fermi', course IL: Foundations of quantum mechanics (Academic, New York, 1971), p. 171. 9. J. S. Bell, Epistemological Letters, p. 2 (July, 1975). 10. J. F. Clauser, M. A. Home, A. Shimony and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969). 11. B. d'Espagnat, Veiled Reality: An Analysis of Present Day Quantum Mechanical Concepts, (Addison-Wesley, 1995). 12. B. d'Espagnat, http://arXiv/abs/quant-ph/9802046. 13. A. Aspect, J.