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

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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.

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Notes

  1. This can be Kleene’s (strong) logic \(K_3\) or the three-valued Łukasiewicz system [5, 6].

  2. As long as the conjunction of two propositions is the weakest proposition among the two.

References

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Authors and Affiliations

  1. Ben-Gurion University of the Negev, Beersheba, Israel

    Arkady Bolotin

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  1. Arkady Bolotin
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Correspondence to Arkady Bolotin.

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Bolotin, A. The quantum pigeonhole principle as a violation of the principle of bivalence. Quantum Stud.: Math. Found. 6, 55–60 (2019). https://doi.org/10.1007/s40509-018-0157-y

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  • DOI: https://doi.org/10.1007/s40509-018-0157-y

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