On Noncontextual, Non-Kolmogorovian Hidden Variable Theories

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• 作者：Benjamin H. Feintzeig ; Samuel C. Fletcher
• 关键词：Quantum mechanics ; Hidden variables ; Non ; Kolmogorovian probability
• 刊名：Foundations of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：47
• 期：2
• 页码：294-315
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：History and Philosophical Foundations of Physics; Quantum Physics; Classical and Quantum Gravitation, Relativity Theory; Statistical Physics and Dynamical Systems; Classical Mechanics; Philosophy of S
• 出版者：Springer US
• ISSN：1572-9516
• 卷排序：47

文摘

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 (Br J Philos Sci 66(4): 905–927, 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.