Experimental Data Does Not Violate Bell's Inequality for "Right Kolmogorov Space''

Paul Fischer, David Avis, Astrid Hilbert, Andrei Khrennikov

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    We show that paradoxical consequences of violations of Bell's inequality are induced by the use of an unsuitable probabilistic description for the EPR-Bohm-Bell experiment. The conventional description (due to Bell) is based on a combination of statistical data collected for different settings of polarization beam splitters (PBSs). In fact, such data consists of some conditional probabilities which only partially define a probability space. Ignoring this conditioning leads to apparent contradictions in the classical probabilistic model (due to Kolmogorov). We show how to make a completely consistent probabilistic model by taking into account the probabilities of selecting the settings of the PBSs. Our model matches both the experimental data and is consistent with classical probability theory.
    Original languageEnglish
    Title of host publicationAIP Proceedings
    PublisherAmerican Institute of Physics
    Publication date2008
    Publication statusPublished - 2008
    EventFoundations of Probability and Physics-5 - Växjö, Sweden
    Duration: 1 Jan 2008 → …


    ConferenceFoundations of Probability and Physics-5
    CityVäxjö, Sweden
    Period01/01/2008 → …


    • EPR-Bohm-Bell experiment


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