On Noncontextual, NonKolmogorovian Hidden Variable Theories
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 (Br J Philos Sci 66(4): 905927, 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.
 Publication:

Foundations of Physics
 Pub Date:
 February 2017
 DOI:
 10.1007/s107010170061z
 arXiv:
 arXiv:1608.03518
 Bibcode:
 2017FoPh...47..294F
 Keywords:

 Quantum mechanics;
 Hidden variables;
 NonKolmogorovian probability;
 Quantum Physics;
 Physics  History and Philosophy of Physics
 EPrint:
 doi:10.1007/s107010170061z