Hidden Variables and Incompatible Observables in Quantum Mechanics

作者:Feintzeig Benjamin*
来源:British Journal for the Philosophy of Science, 2015, 66(4): 905-927.
DOI:10.1093/bjps/axu017

摘要

This article takes up a suggestion that the reason we cannot find certain hidden variable theories for quantum mechanics, as in Bell's theorem, is that we require them to assign joint probability distributions on incompatible observables. These joint distributions are problematic because they are empirically meaningless on one standard interpretation of quantum mechanics. Some have proposed getting around this problem by using generalized probability spaces. I present a theorem to show a sense in which generalized probability spaces can't serve as hidden variable theories for quantum mechanics, so the proposal for getting around Bell's theorem fails.

  • 出版日期2015-12