A Path Integral Generalization of Bell Local Hidden Variable Models for Unstable Particles

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.

A Realistic Interpretation of Quantum Wavefunctions as Temperature Dependent Vacuum Polarization Waves

“…This debate between the fathers of Quantum Mechanics inspired then Bell to discover his Theorem [10], whose famous inequality paved the way to the subsequent Aspect's experiment [11] aimed to test the validity of the Copenhagen interpretation against the Einstein realistic approach (called by Bell "hidden variable models"). Even if recently there has been a revival of interest and papers against Bell Theorem and its loopholes [12] [13] [14] [15] [16], till now, the majority of physics believes that E.P.R. like experiments confirmed the Copenhagen interpretation, since the Bell ideal inequality was considered to be violated in laboratory experiments (we note that his theorem was deduced assuming constant light speed).…”