Temporary Singularities and Axions: an analytic solution that challenges charge conservation
General Relativity and Quantum Cosmology
2022-03-18 v4 Classical Physics
Abstract
We construct an analytic solution to Maxwell's equations that violates global charge conservation, by building on the possibilities demonstrated in [Foundations of Physics 49, 330 (2019)]. The construction is valid for a spacetime containing a temporary singularity and a Maxwellian electrodynamics containing a proposed "topological" axion field. As such, it demonstrates that although "physics breaks down" at a singularity, the physical laws on the spacetime still impose constraints on what can happen. Further, the concepts of transformation optics can be applied to show that our specific mathematical solution has a much wider applicability.
Cite
@article{arxiv.2008.02135,
title = {Temporary Singularities and Axions: an analytic solution that challenges charge conservation},
author = {Jonathan Gratus and Paul Kinsler and Martin W. McCall},
journal= {arXiv preprint arXiv:2008.02135},
year = {2022}
}
Comments
15 pages, 19 figures