Electromagnetic Mach principle

TL;DR

This paper proposes a gauge model linking the electromagnetic coupling constant and local mass to the total charge in the universe, embodying a Mach principle for electromagnetism, with Lorentz invariance restored via a phase transformation.

Contribution

It introduces a novel gauge model where electromagnetic parameters depend on the universe's total charge, extending Mach's principle to electromagnetism.

Findings

The model relates electromagnetic coupling and mass to universal charge.

Lorentz invariance can be restored through a phase transformation.

The formalism provides a new perspective on Mach's principle in electromagnetism.

Abstract

We will introduce a gauge model which an electromagnetic coupling constant and local mass are related to all the charge in the universe. we will use the standard Dirac action, but where the mass and the electromagnetic coupling constant are a function of the sum of all the charge in the universe, which represent Mach principle for electromagnetic coupling constant. The formalisation is not manifestly Lorentz invariant, however Lorentz invariance can be restored by performing a phase transformation of the Dirac field.