Proof of Kolmogorovian Censorship

Details Proof of Kolmogorovian Censorship Proof of Kolmogorovian Censorship

1997-01-10

arxiv.org/abs/quant-ph/9701012v1

Found.Phys. 27 (1997) 1355-1373

Physics

Quantum Physics

19 pages, LaTeX

Scientific paper

10.1007/BF02551517

Many argued (Accardi and Fedullo, Pitowsky) that Kolmogorov's axioms of classical probability theory are incompatible with quantum probabilities, and this is the reason for the violation of Bell's inequalities. Szab\'o showed that, in fact, these inequalities are not violated by the experimentally observed frequencies if we consider the real, ``effective'' frequencies. We prove in this work a theorem which generalizes this result: ``effective'' frequencies associated to quantum events always admit a Kolmogorovian representation, when these events are collected through different experimental set ups, the choice of which obeys a classical distribution.

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