Classical Field Theory and Analogy Between Newton's and Maxwell's Equations

TL;DR

This paper presents a unified classical field theory that encompasses Newtonian mechanics and Maxwell's electromagnetism, highlighting formal analogies between the two frameworks.

Contribution

It introduces a bivertical classical field theory unifying Newtonian and Maxwell's theories, revealing formal analogies between their fundamental notions.

Findings

Unified framework for Newtonian and Maxwell's theories

Recognition of formal analogies between mechanics and electromagnetism

Potential for new insights through unification

Abstract

A bivertical classical field theory include the Newtonian mechanics and Maxwell's electromagnetic field theory as the special cases. This unification allows to recognize the formal analogies among the notions of Newtonian mechanics and Maxwell's electrodynamics.