The quantum pigeonhole principle as a violation of the principle of bivalence

Abstract

In the paper, it is argued that the phenomenon known as the quantum pigeonhole principle (namely, three quantum particles are put in two boxes, yet no two particles are in the same box) can be explained not as a violation of Dirichlet's box principle in the case of quantum particles but as a nonvalidness of a bivalent logic for describing not-yet verified propositions relating to quantum mechanical experiments.

This is a pre-print of an article published in Quantum Studies: Mathematics and Foundations. The final authenticated version is available online at: https://doi.org/10.1007/s40509-018-0157-y

References in corpus (2)

• A variant of the Kochen-Specker theorem localising value indefiniteness
• The quantum pigeonhole principle and the nature of quantum correlations