Electrodymanics with Toroid Polarization

TL;DR

This paper introduces a modified electrodynamics framework incorporating toroid moments through a new gauge-like formalism and extends the two potential formalism to include scalar potentials, enriching the theoretical description.

Contribution

It develops a novel gauge-like formalism for toroid moments and extends the two potential formalism with scalar potentials in electrodynamics.

Findings

New formalism incorporating toroid moments

Extended two potential formalism with scalar potentials

Theoretical framework for advanced electrodynamics

Abstract

A modified system of equations of electrodynamics has been obtained. Beside the Lagrangian one an alternative gauge-like formalism has been developed to introduce the toroid moment contributions in the equations obtained. The two potential formalism that was worked out by us earlier has been developed further where along with the two vector potentials we introduce two scalar potentials thus taking into account all the four equations of electromagnetism.