Charged and electromagnetic fields from relativistic quantum geometry

TL;DR

This paper explores how electromagnetic fields generated by quantum complex vector fields can be modeled within the Relativistic Quantum Geometry framework, revealing extended Maxwell dynamics on a Weyl-like manifold.

Contribution

It introduces a novel approach to represent electromagnetic phenomena using quantum complex vector fields in a Weylian manifold within RQG.

Findings

Complex fields act as sources of tetra-vector fields.

Extended Maxwell dynamics are demonstrated.

Framework connects quantum fields with geometric structures.

Abstract

In the Relativistic Quantum Geometry (RQG) formalism recently introduced, was explored the possibility that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian integrable manifold, described by the dynamics of an auxiliary geometrical scalar field $\theta$, in order that the Einstein tensor (and the Einstein equations) can be represented on a Weyl-like manifold. In this framework we study jointly the dynamics of electromagnetic fields produced by quantum complex vector fields, which describes charges without charges. We demonstrate that complex fields act as a source of tetra-vector fields which describe an extended Maxwell dynamics.