Real-Valued Charged Fields and Interpretation of Quantum Mechanics II

TL;DR

This paper extends previous work on electromagnetic fields in quantum mechanics, demonstrating that certain models allow the electromagnetic field to evolve independently without the wave function, supporting a Bohmian interpretation.

Contribution

It introduces a new model based on Dirac-Maxwell electrodynamics that generalizes prior results, showing wave function elimination and independent electromagnetic field evolution.

Findings

Electromagnetic field can evolve independently in the models.

Wave function can be eliminated in the proposed models.

Supports a Bohmian interpretation of quantum mechanics.

Abstract

In the first part of this work (http://www.arxiv.org/abs/quant-ph/0509044), it was shown that the Klein-Gordon-Maxwell electrodynamics in the unitary gauge allows natural elimination of the particle wave function and describes independent evolution of the electromagnetic field. Therefore, the electromagnetic field can be regarded as the guiding field in the Bohm interpretation of quantum mechanics. An extension of those results to the Dirac-Maxwell electrodynamics was less general, but represented at least an interesting toy model of quantum theory. Another model based on the Dirac-Maxwell electrodynamics is considered in this work. The model also typically allows elimination of the wave function and describes independent evolution of the electromagnetic field.