Dynamical state reduction in an EPR experiment

TL;DR

This paper presents a relativistically-invariant, stochastic model for quantum state reduction in EPR experiments, demonstrating covariance, Bell inequality violation, and no superluminal signaling, challenging claims that such models are impossible.

Contribution

It introduces a novel dynamical, covariant model for state reduction in entangled systems, explicitly solving stochastic equations and addressing key philosophical debates.

Findings

Model is covariant and consistent with relativity

Violates Bell inequalities without superluminal signaling

Challenges the Free Will Theorem claims

Abstract

A model is developed to describe state reduction in an EPR experiment as a continuous, relativistically-invariant, dynamical process. The system under consideration consists of two entangled isospin particles each of which undergo isospin measurements at spacelike separated locations. The equations of motion take the form of stochastic differential equations. These equations are solved explicitly in terms of random variables with a priori known probability distribution in the physical probability measure. In the course of solving these equations a correspondence is made between the state reduction process and the problem of classical nonlinear filtering. It is shown that the solution is covariant, violates Bell inequalities, and does not permit superluminal signaling. It is demonstrated that the model is not governed by the Free Will Theorem and it is argued that the claims of Conway and Kochen, that there can be no relativistic theory providing a mechanism for state reduction, are false.