Foundations of Physics 47 (2):294-315 (2017)

Authors
Benjamin Feintzeig
University of Washington
Samuel C. Fletcher
University of Minnesota
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 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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DOI 10.1007/s10701-017-0061-z
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References found in this work BETA

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Imprecise Probabilities.Seamus Bradley - 2019 - Stanford Encyclopedia of Philosophy.

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Citations of this work BETA

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