On the mathematical error of Aspect/Bell, and its resolution

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.