A unifying physically meaningful relativistic action

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.