Correlations of components of prequantum field corresponding to biparticle quantum system

International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University S-35195, Vaxjo-Kalmar, Sweden, EU

Corresponding author: andrei.khrennikov@lnu.se

Received: 26 January 2010
Accepted: 12 May 2010

Abstract

In a series of previous papers we developed a purely wave model of microphenomena, the so-called prequantum classical statistical field theory (PCSFT). Important probabilistic predictions of QM including correlations of entangled systems can be reproduced by PCSFT. In this note we show that our model provides even a possibility to go beyond QM. By PCSFT each conventional QM-observable is represented by the corresponding quadratic functional of the prequantum field. Consideration of nonquadratic functionals in the PCSFT framework extends essentially the class of observables on microsystems, comparing with QM. In this note we restrict our studies to simplest functionals of such type, namely, to the linear functionals. In particular, components of the prequantum field are represented as these functionals. We find their correlations. As an example, we find the correlation between polarization vectors of a pair of entangled photons in the Bell state. This is a new prediction that in principle can be experimentally checked, even if actual experiments may require essential improvements of our present instrumentation.