Bell Test Correlations Under Dispersion and Sphere Hardening

Draft paper abstract: Bell test experiments exhibit correlation functions proportional to cos(∆θ) or cos2(∆θ), traditionally interpreted as evidence for non-locality or the failure of local realism. In this paper, we show that such correlations arise naturally and locally within Actualation Theory (AT) due to state dispersion, which invokes high dimensionality, resulting in normalization by sphere hardening. This normalization operationally eliminates amplitude variations, leaving only angular dependence of correlation according to the familiar cosine function of Bell test results. In this regime, the cosine relation emerges automatically and is not induced by non-locality.Thus, Bell tests, while valid as originally structured by Bell, do not demonstrate quantum non-locality. Instead, they show that local ”realism” must be redefined to include dispersions of value for any single instance of a measurement, which leads naturally to the cosine relation of correlation to relative detector angle.