Dynamical state reduction in an EPR experiment

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.

19 pages, 3 figures

References in corpus (7)

• The Free Will Theorem
• A Relativistic Version of the Ghirardi-Rimini-Weber Model
• The Conway-Kochen argument and relativistic GRW models
• Comment on "The Free Will Theorem"
• Quasirelativistic quasilocal finite wave-function collapse model
• Quantum noise and stochastic reduction
• Reply to Comments of Bassi, Ghirardi, and Tumulka on the Free Will Theorem

Cited by in corpus (10)

• Relativistic state reduction dynamics
• Non-Paradoxical Loss of Information in Black Hole Evaporation in a Quantum Collapse Model
• In Praise and in Criticism of the Model of Continuous Spontaneous Localization of the Wave-Function
• Wave Function Collapse and the No-Superluminal-Signaling Principle
• Does quantum nonlocality irremediably conflict with Special Relativity?
• Hidden variable interpretation of spontaneous localization theory
• Causality, Measurement, and Elementary Interactions
• Relativistic Model for Gravity-Induced Quantum State Reduction
• The quantum mechanics needs the principle of wave function collapse, but this principle should not be misunderstood
• Parameter Independence and Outcome Independence in Dynamical Collapse Theories