On the Problem of Ambiguity of Electromagnetic Potential

TL;DR

This paper proposes a new interpretation of electromagnetic potential as a physically real measure of system deviation, resolving gauge ambiguity by linking potential components to asymptotic behavior in Minkowski space-time.

Contribution

It introduces a self-sufficient potential formalism that treats electromagnetic potential as a real physical quantity based on system deviations from an undisturbed state.

Findings

Electromagnetic potential components tend to zero at large distances from charges.

Potential is interpreted as a relative measure of system deviation.

Potential becomes a physically real value in the proposed formalism.

Abstract

In the self-sufficient potential formalism, treating all electromagnetic phenomena as natural or forced oscillations of some distributed electromagnetic oscillating system (Minkowski space-time), the electromagnetic potential must be considered as some relative measure describing deviation of the system from its "undisturbed" state (when both natural and forced oscillations are absent). Therefore, there is no ambiguity in the gauge of one: all components of the potential four-vector are asymptotically verging towards zero while the distance from all free charges and currents enlarges. Such interpretation turns the electromagnetic potential into a physically real value.