A unifying physically meaningful relativistic action

TL;DR

This paper presents a new Lorentz covariant relativistic action unifying particle dynamics with gravitational and electromagnetic interactions, offering a fresh perspective on relativistic physics.

Contribution

It introduces a physically meaningful, unified relativistic action that incorporates multiple fundamental interactions within a single covariant framework.

Findings

The action reduces to classical physics in the appropriate limit.

It yields equations of motion consistent with known laws.

Provides a new approach toward unification of interactions.

Abstract

We introduce a relativistic action that provides a unified and physically meaningful description of particle dynamics in external fields. The proposed action is constructed to be Lorentz covariant and reduces to the standard classical action in the appropriate limit. It incorporates gravitational and electromagnetic interactions within a single framework and leads to equations of motion consistent with known physical laws. The formulation offers a new perspective on relativistic dynamics and suggests a pathway toward unification of fundamental interactions.