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

TL;DR

The paper explains the quantum pigeonhole principle as a challenge to bivalent logic in quantum mechanics, rather than a violation of classical box principles, highlighting the role of logical frameworks in quantum phenomena.

Contribution

It proposes that the quantum pigeonhole effect arises from the non-validity of bivalent logic for unverified quantum propositions, offering a new interpretative perspective.

Findings

Quantum pigeonhole principle explained via logic

Challenges classical assumptions about quantum particles

Highlights importance of logical frameworks in quantum theory

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.