de Broglie-Bohm formulation of Dirac fields

TL;DR

This paper reformulates Dirac spinor fields using the de Broglie-Bohm approach, representing quantum relativistic matter as a classical fluid and exploring non-local hidden variables in a relativistic setting.

Contribution

It introduces a novel Bohmian formulation for Dirac fields, providing a classical fluid interpretation and discussing potential extensions.

Findings

Relativistic Dirac fields can be expressed as classical fluids.

The formulation captures non-local hidden-variable aspects.

Extensions to the theory are proposed.

Abstract

We present the theory of Dirac spinors in the formulation given by Bohm on the idea of de Broglie: the quantum relativistic matter field is equivalently re-written as a special type of classical fluid and in this formulation it is shown how a relativistic environment can host the non-local aspects of the above-mentioned hidden-variables theory. Sketches for extensions are given at last.