Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-08
Found. Phys. 42, 632-646 (2012)
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, accepted for publication in Found. Phys., misprints corrected, references updated
Scientific paper
To relax the apparent tension between nonlocal hidden variables and relativity, we propose that the observable proper time is not the same quantity as the usual proper-time parameter appearing in local relativistic equations. Instead, the two proper times are related by a nonlocal rescaling parameter proportional to |psi|^2, so that they coincide in the classical limit. In this way particle trajectories may obey local relativistic equations of motion in a manner consistent with the appearance of nonlocal quantum correlations. To illustrate the main idea, we first present two simple toy models of local particle trajectories with nonlocal time, which reproduce some nonlocal quantum phenomena. After that, we present a realistic theory with a capacity to reproduce all predictions of quantum theory.
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