One particle self correlations for a separable representation of the singlet spin state beyond standard Quantum Mechanics

TL;DR

This paper introduces a new quantum state in an extended spin phase space that allows representing entangled singlet states in a separable form, challenging standard quantum mechanics and explaining correlations via hidden variables.

Contribution

It proposes a novel pure quantum state beyond standard quantum mechanics that models entangled singlet states as separable, with implications for understanding quantum correlations.

Findings

Violates Bell's inequalities due to wave-like interference effects.

Represents entangled states as separable in an extended phase space.

Explains quantum correlations through self correlations of hidden spin values.

Abstract

A new pure quantum state, isotropic in spin variables, is defined in an extended spin phase space beyond standard quantum mechanics. It allows to represent the entangled singlet state in separable form. The statistical correlations between Alice and Bob measurements become self correlations between hidden spin values for each particle, together with perfect anti correlation between spin values on the pair. Alice determines through measurement on her particle the value of spin in some direction. Spin in another direction is inferred from Bob measurement on the companion. Bell's inequalities are violated because of the wave like behaviour of quantum systems. In full analogy with the two slit experiment, interference terms between spin field components appear determining the contextual character of quantum distributions of probability.