Adjoint charge in electromagnetic field

TL;DR

This paper introduces a theoretical framework using octonions to describe an adjoint electromagnetic field, suggesting the adjoint charge influences mass distribution and could be a candidate for dark matter.

Contribution

It proposes a novel octonion-based approach to model the adjoint electromagnetic field and its effects on mass and gravity, linking it to dark matter hypotheses.

Findings

Adjoint charge affects gravitational mass and distribution.

The model predicts slight deviations from mass conservation.

Adjoint charge may serve as a dark matter candidate.

Abstract

Making use of the octonion operator, the electromagnetic field generates an adjoint field theoretically. The source of adjoint field includes the adjoint charge and the adjoint current. The adjoint charge has an impact on the gravitational mass and the mass distribution in the electromagnetic field with its adjoint field, and causes further the predictions to departure slightly from the conservation of mass. The inferences can explain why the adjoint charge will influence the mass distribution in the gravitational field and electromagnetic field of celestial bodies. And then the adjoint charge can be considered as one kind of candidate for the dark matter.