TITLE:
Vacuum Dependent Bell Local Hidden Variable Models and Generalized C.H.S.H. Inequalities
AUTHORS:
Gianpaolo Bei
KEYWORDS:
Vacuum Index, Complex Hidden Variables, Vacuum Dependent Photons Imperfect Correlations, Vacuum Dependent Detector Efficiency, Generalized C.H.S.H. Inequalities
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.1,
January
7,
2022
ABSTRACT: We extend a previous model of the author which generalizes Bell local hidden variable models to the case of entangled photon pairs assuming that the standard Bell correlation functions depend on a hidden vacuum index. We deduce a generalization of Bell theorem assuming that classical observables are not dichotomic and that photon pair emission and detection is not a stationary stochastic process. We derive a photon imperfect polarization correlation functions due to rotational invariance breaking induced by hidden vacuum spin currents. We implement formally this approach deducing a generalization of C.H.S.H. inequalities which asymptotically converges to the standard one and which might be competitive with standard quantum mechanics predictions. We suggest to test this inequalities conceiving new E.P.R.-Bell like tests with time dependent detector efficiency and photon flux. Finally, we suggest to apply these generalized inequalities to the correlation functions of entangled classical spinning waves realized recently with metamaterials.