Frank Lad
On the mathematical error of Aspect/Bell, and its resolution
(362K, Postscript)
ABSTRACT. Long claimed violations of Bell's inequality by the predictions of quantum mechanics are
found to arise from the neglect of symmetric functional relations among the products of
paired photon polarization observations. Bruno de Finetti's fundamental theorem of
probability is used to derive a 4-dimensional coherent space of expectations that quantum
theory actually supports and which respect the inequality everywhere. Aspect's empirical
estimations which have been understood to support the violations are shown to depend on
the same oversight. Their corrected versions are stable with simulation data, yielding
estimates well within Bell's recognized bounds. The error is fundamental, impinging on
all subsequent experimental results from more sophisticated experimental procedures.