Electromagnetic fields from contact forms

TL;DR

This paper proves that every contact form on a 3-manifold naturally induces a solution to Maxwell's equations, linking geometric structures with electromagnetic theory.

Contribution

It establishes a novel connection between contact geometry and solutions to Maxwell's equations on 3-manifolds.

Findings

Every contact form on a 3-manifold induces a Maxwell solution

Links geometric contact structures with electromagnetic fields

Provides a new perspective on geometric analysis of Maxwell's equations

Abstract

In this short note we prove that every contact form on a 3-manifold M induces a solution to Maxwell's equations on M.