Low Dimension Dynamics in the EPRB Experiment with Random Variable Analyzers

Foundations of Physics 37 (1):80-102 (2007)

The Einstein–Podolsky–Rosen–Bohm (EPRB) experiment performed with random variable and spatially separated analyzers is a milestone test in the controversy between Objective Local Theories (OLT) and Quantum Mechanics (QM). Only a few OLT are still possible. Some of the surviving OLT (specifically, the so called non-ergodic theories) would be undetectable in the averaged statistical values, but they may leave their trace in the time dynamics. For, while QM predicts random processes, the OLT of this kind predict the existence of regularities that may be revealed as a low dimensional object in the phase space. We perform a numerical analysis of the time-resolved data recorded in that experiment to unveil any hypothetical low dimensional dynamics that may be present. We find no consistent indication of such dynamics except for one data file, the longest of all in the real time. The possible causes of these dynamics are discussed
Keywords tests of local realism  time series analysis  non-ergodic theories  chaos
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DOI 10.1007/s10701-006-9091-7
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On Fine's Resolution of the EPR-Bell Problem.László E. Szabó - 2000 - Foundations of Physics 30 (11):1891-1909.
Hidden Variables with Directionalization.Alejandro A. Hnilo - 1991 - Foundations of Physics 21 (5):547-567.

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