Stable knots and links in electromagnetic fields
Mathematical Physics
2021-10-13 v1 Geometric Topology
math.MP
Abstract
In null electromagnetic fields the electric and the magnetic field lines evolve like unbreakable elastic filaments in a fluid flow. In particular, their topology is preserved for all time. We prove that for every link there is such an electromagnetic field that satisfies Maxwell's equations in free space and that has closed electric and magnetic field lines in the shape of for all time.
Keywords
Cite
@article{arxiv.2102.12298,
title = {Stable knots and links in electromagnetic fields},
author = {Benjamin Bode},
journal= {arXiv preprint arXiv:2102.12298},
year = {2021}
}