# Electromagnetic Classical Field Theory in a Form Independent of Specific Units

## TL;DR

This paper presents a unit-independent formulation of Maxwell's equations in vacuum, applicable across various unit systems, including SI, Gaussian, and natural units, with both differential and integral forms and covariant formulation.

## Contribution

It introduces a unified, unit-independent framework for Maxwell's equations, accommodating multiple unit systems and their differential, integral, and covariant forms.

## Key findings

- Unified formulation of Maxwell's equations in various units
- Explicit expressions for differential and integral forms in different systems
- Covariant formulation applicable across unit systems

## Abstract

In this article we have illustrated how is possible to formulate Maxwell's equations in vacuum in an independent form of the usual systems of units. Maxwell's equations, are then specialized to the most commonly used systems of units: International system of units (SI), Gaussian normal, Gaussian rational (Heaviside-Lorentz), C.G.S. (electric), C.G.S. (magnetic), natural normal and natural rational. Both, the differential and the integral formulations of Maxwell's equations in vacuum, are illustrated. Also the covariant formulation of Maxwell's equation is illustrated.