Hidden-Variable Example Based upon Data Rejection

Philip M. Pearle
Phys. Rev. D 2, 1418 – Published 15 October 1970
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Abstract

A deterministic local hidden-variable model is presented which describes the simultaneous measurement of the spins of two spin-½ particles which emerged from the decay of a spin-zero particle. In this model the measurement of the spin of a particle has one of three possible outcomes: spin parallel to the apparatus axis, spin antiparallel to the apparatus axis, or the particle goes undetected. It is shown that agreement with the predictions of quantum theory is obtained provided the experimenter rejects the "anomalous" data in which only one particle is detected. A reasonably model-independent lower bound to the fraction of undetected particles is also computed: It is found that in 14% of the decays or more, one or both of the particles will go undetected.

  • Received 15 May 1970

DOI:https://doi.org/10.1103/PhysRevD.2.1418

©1970 American Physical Society

Authors & Affiliations

Philip M. Pearle

  • Department of Physics, Hamilton College, Clinton, New York 13323

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Vol. 2, Iss. 8 — 15 October 1970

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