Deterministic model of spin and statistics

A deterministic model that accounts for the statistical behavior of random samples of identical particles is presented. The model is based on some nonmeasurable distribution of spin values in all directions. The mathematical existence of such distributions is proved by set-theoretical techniques, and the relation between these distributions and observed frequencies is explored within an appropriate extension of probability theory. The relation between quantum mechanics and the model is specified. The model is shown to be consistent with known polarization phenomena and the existence of macroscopic magnetism. Finally..
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The Bell–Kochen–Specker Theorem.D. M. Appleby - 2005 - Studies in History and Philosophy of Science Part B 36 (1):1-28.
Reality, Locality, and Probability.Stanley P. Gudder - 1984 - Foundations of Physics 14 (10):997-1010.
Non-Contextuality, Finite Precision Measurement and the Kochen–Specker Theorem.Jonathan Barrett & Adrian Kent - 2004 - Studies in History and Philosophy of Science Part B 35 (2):151-176.
Generalizations of Kochen and Specker's Theorem and the Effectiveness of Gleason's Theorem.Ehud Hrushovski & Itamar Pitowsky - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (2):177-194.

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