On the EPR paradox and local causality principle

TL;DR

This paper presents formulas for joint measurement probabilities in entangled quantum systems based on non-relativistic quantum mechanics, proposing a local causality interpretation consistent with experimental results.

Contribution

It introduces a local causality-compatible interpretation of joint probabilities in entangled systems, supported by explicit formulas and analysis of spin measurements.

Findings

Formulas for joint probabilities in entangled systems

An interpretation consistent with local causality

Application to spin-1/2 particles in singlet state

Abstract

Formulas for calculating the joint probability of outcomes of measurements performed on mutually non-interacting component systems of a combined system prepared in an entangled state are presented. The formulas are based on non-relativistic quantum mechanics. An interpretation of the joint probability which conforms to the principle of local causality is proposed. The joint probability of outcomes of spin measurements performed on the well-known system of two spatially separated spin-1/2 particles prepared initially in the singlet state is used to illustrate the proposed interpretation of theoretical and experimental results.