Bell's inequality violation due to misidentification of spatially non-stationary random processes

Abstract

Correlations for the Bell gedankenexperiment are constructed using probabilities given by quantum mechanics, and non-local information. They satisfy Bell's inequality and exhibit spatial non-stationarity in angle. Correlations for three successive local spin measurements on one particle are computed as well. These correlations also exhibit non-stationarity, and satisfy the Bell inequality. In both cases, the mistaken assumption that the underlying process is wide-sense-stationary in angle results in violation of Bell's inequality. These results directly challenge the wide-spread belief that violation of Bell's inequality is a decisive test for non-locality.