On a local hidden-variable model with `isolato' hypothesis of the EPR--Bohm Gedanken experiment

Abstract

A local hidden-variable model based on `isolato' hypothesis of the EPR--Bohm Gedanken experiment is presented. The `isolato' hypothesis states that one of a pair of spin-${1}/{2}$ particles can be in `isolato' mode in which the spin-${1}/{2}$ particle shuts itself from any external interactions, and hence it can never be detected. As a result of this, data rejection is made; Bell's inequality is violated, although the model is genuinely local. In this model, $2/\pi$ ($\simeq$ 63.6%) of the initially prepared ensemble of pairs of spin-${1}/{2}$ particles are detected as a pair of particles, and others are detected as a single particle. This does not disagree with the results of the experiments performed before, since these single spin-${1}/{2}$ particles were regarded as noise.