Relativistic almost local hidden-variable theory

TL;DR

This paper proposes a relativistic hidden-variable theory for particle trajectories that aligns with quantum mechanics' predictions while minimizing nonlocality, challenging the extent of nonlocality in Bohm's theory.

Contribution

It introduces a relativistic hidden-variable model similar to Bohm's but without nonlocal forces, showing less nonlocality is sufficient for quantum predictions.

Findings

The theory reproduces quantum statistical predictions.

It demonstrates that Bohm's theory contains more nonlocality than necessary.

Initial probability density |psi|^2 is the key nonlocal element.

Abstract

A simple relativistic quantum hidden-variable theory of particle trajectories, similar to the Bohm theory but without nonlocal forces between the particles, is proposed. To provide compatibility with statistical predictions of quantum mechanics one needs to assume the initial probability density |psi|^2 of particle positions in spacetime, which is the only source of nonlocality in the theory. This demonstrates that the usual Bohm hidden-variable theory contains much more nonlocality than required by the Bell theorem.