The field equation from Newton's law of motion and absence of magnetic monopole

TL;DR

This paper derives the classical electromagnetic field equations from Newton's laws by imposing self-adjointness, revealing a fundamental relation between electric and magnetic monopoles that suggests only one type of charge exists.

Contribution

It introduces a novel derivation of electrodynamics from Newtonian mechanics and proposes a universal relation linking electric and magnetic monopoles.

Findings

Derived classical field equations from Newton's laws.

Established a fundamental relation between electric and magnetic monopoles.

Suggested the possible non-existence of magnetic monopoles as independent entities.

Abstract

By requiring the linear differential operator in Newton's law of motion to be self adjoint, we obtain the field equation for the linear theory, which is the classical electrodynamics. In the process, we are also led to a fundamental universal chiral relation between electric and magnetic monopoles which implies that the two are related. Thus there could just exist only one kind of charge which is conventionally called electric.