Bell’s Theorem places limits on correlations between local spin measurements ofentangled particles whose properties are described by ”hidden variables” established priorto measurement. Bell’s derivation assumes that the density of states, or sampling rate, isindependent of the orientation of the measuring device. However, points on a rotating sphereare sampled at different rates at different positions, making Bell’s Theorem inapplicable. Wemodel spin one-half fermions as having a spherical distribution of observables with azimuthalsymmetry, and assume that a Stern-Gerlach device uniformly samples points on a sphericalsurface. Application of Bayes’ Theorem yields the joint density of states for two deviceorientations. Numerical calculations based on this model yield the fermion spin correlationsobserved in Stern-Gerlach experiments.
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