On Noncontextual, Non-Kolmogorovian Hidden Variable Theories

11 Aug 2016  ·  Feintzeig Benjamin H., Fletcher Samuel C. ·

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. read more

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Quantum Physics History and Philosophy of Physics