(quant-ph/0105020) Does Bell’s theorem apply if the perceived pseudo-Euclidean space is emergent?

View a PDF of the article Does Bell’s Theorem Hold if Perceived Pseudo-Euclidean Space Is Emergent?, by Bart Jongejan

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Abstract:Einstein, Podolsky, and Rosen (EPR) showed that it is possible to predict with certainty the value of a property without disturbing the object in question. In contrast, quantum mechanics (QM) holds that if different measurement configurations cannot coexist, then neither can predictions about them. Using an EPR-inspired experiment with distant measurements on pairs of rotating entangled particles, Bell proved that no local hidden variable (HV) theory can describe reality in more detail than QM. However, it is possible to devise a viable HV theory based on the assumption that the perceived structure of spacetime emerges from a hidden curved spacetime. According to this theory, locality can be maintained for each of the measurements while what is perceived as nonlocality can be attributed to the emergence of spacetime correlations between the instruments of the two parties. The theory predicts correlations that agree with QM, provided that the hidden spacetime has three spatial dimensions. If it had fewer than three dimensions, the CHSH inequality would not be violated, and if it had more, the Tsirelson limit would be violated. According to this HV theory, the laboratory frame is a corollary of correlations of the type that are the subject of Bell’s thought experiment.