A simple model for the spin-singlet: mathematical equivalence of non-locality, slave will, and conspiracy
arXiv:1104.1797 · doi:10.1088/1751-8113/45/26/265302
Abstract
A hidden variable model reproducing the quantum mechanical probabilities for a spin singlet is presented. The model violates only the hypothesis of independence of the distribution for the hidden variables from the detectors settings and vice versa (Measurement Independence). It otherwise satisfies the hypotheses of Setting Independence, Outcome Independence -- made in the derivation of Bell inequality -- and that of compliance with Malus's Law -- made in the derivation of Leggett inequality. It is shown that the violation of the Measurement Independence hypothesis may be explained alternatively by assuming a non-local influence of the detectors settings on the hidden variables, or by taking the hidden variable to influence the choice of settings (limitation of free will), or finally by purporting a conspiracy. It is demonstrated that the last two cases admit a realization through existing local classical resources.
10 pages, 1 fig
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Cited by in corpus (7)
- Rethinking Superdeterminism
- Bell's Theorem and Locally-Mediated Reformulations of Quantum Mechanics
- Are Hidden-Variable Theories for Pilot-Wave Systems Possible ?
- Determination of hidden variable models reproducing the spin-singlet
- Are quantum correlations genuinely quantum?
- Is nonlocality responsible for the violation of Bell's inequalities?
- Beyond Bell's theorem: Admissible hidden-variable models for the spin-singlet