Temporary Singularities and Axions an analytic solution that challenges charge conservation

Gratus, Jonathan and Kinsler, Paul and McCall, Martin W. (2020) Temporary Singularities and Axions an analytic solution that challenges charge conservation. arxiv.org.

Text (2008.02135v1)
2008.02135v1.pdf - Published Version
Download (1MB)

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 "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.