Electromagnetic Torus Knots

TL;DR

This paper introduces a new class of electromagnetic field solutions in vacuum where magnetic and electric field lines form complex torus knot topologies, with potential applications in physics and information encoding.

Contribution

It presents novel vacuum solutions of Maxwell's equations featuring torus knot topologies of field lines, expanding the understanding of knotted electromagnetic fields.

Findings

Field lines form torus knots with specific topologies

Solutions could impact plasma confinement and information coding

Advances the theoretical understanding of knotted electromagnetic fields

Abstract

We present a new range of solutions of the Maxwell equations in vacuum in which the topology of the field lines is that of the whole torus knots set. Knotted electromagnetic fields are solutions of the Maxwell equations in vacuum in which magnetic lines, and also electric lines, have some kind of linkage. These solutions may play an important role in fundamental physics problems from the stability of field configurations, such as plasma confinement, to coding information.