Hidden variables with nonlocal time
arXiv:1102.1539 · doi:10.1007/s10701-012-9631-2
Abstract
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.
16 pages, accepted for publication in Found. Phys., misprints corrected, references updated
References in corpus (4)
- QFT as pilot-wave theory of particle creation and destruction
- Boson-fermion unification, superstrings, and Bohmian mechanics
- Probability in relativistic quantum mechanics and foliation of spacetime
- Classical and Non-Relativistic Limits of a Lorentz-Invariant Bohmian Model for a System of Spinless Particles