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On Noncontextual, Non-Kolmogorovian Hidden Variable Theories

Feintzeig, Benjamin H. and Fletcher, Samuel C. (2016) On Noncontextual, Non-Kolmogorovian Hidden Variable Theories. [Preprint]

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Abstract

One implication of Bell's theorem is that there cannot in general be hidden variable models for quantum mechanics that both are noncontextual and retain the structure of a classical probability space. Thus, some hidden variable programs aim to retain noncontextuality at the cost of using a generalization of the Kolmogorov probability axioms. We generalize a theorem of Feintzeig (2015) to show that such programs are committed to the existence of a finite null cover for some quantum mechanical experiments, i.e., a finite collection of probability zero events whose disjunction exhausts the space of experimental possibilities.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Feintzeig, Benjamin H.bfeintze@uw.edu
Fletcher, Samuel C.scfletch@umn.edu
Keywords: quantum mechanics, hidden variable theories, Bell's theorem, Kochen-Specker theorem, nonclassical probability theory
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Benjamin Feintzeig
Date Deposited: 12 Aug 2016 20:00
Last Modified: 12 Aug 2016 20:00
Item ID: 12356
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 11 August 2016
URI: https://philsci-archive.pitt.edu/id/eprint/12356

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