TITLE:
A Path Integral Generalization of Bell Local Hidden Variable Models for Unstable Particles
AUTHORS:
Gianpaolo Bei
KEYWORDS:
Entangled Unstable Particles, Complex Hidden Variables, Path Dependent Expectation Values, Time Dependent Bell Inequalities
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.10,
October
12,
2021
ABSTRACT: We discuss the problem of the generalization of Bell local hidden variable models for unstable particles as nucleons or decaying quantum bound states. We propose to extend the formalism of real deterministic hidden variables in the complex domain, in analogy with the quantum Gamow ket formalism, and we introduce a time dependent classical probability density distribution by which we implement hidden time dependence in the quantum expectation values. We suggest therefore a classical framework which may recover by asymptotic temporal limits the standard Bell stationary quantum statistical averages. Endly we discuss the possible relevance of our proposal for general non-isolated quantum systems in noninertial frames and the consequent dynamic effects of vacuum instabilities on E.P.R tests and Q.M. ensemble statistical averages.