Temporary Singularities and Axions : an analytic solution that challenges charge conservation

Gratus, Jonathan and Kinsler, Paul and McCall, Martin (2021) Temporary Singularities and Axions : an analytic solution that challenges charge conservation. Annalen der Physik, 533 (6): 2000565. ISSN 0003-3804

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Abstract

We construct an analytic solution for electromagnetic fields interacting with an axion field that violates global charge conservation. Despite providing a specific example where “physics breaks down” at a singularity, it nevertheless demonstrates that the physical laws on the surrounding spacetime still impose constraints on what is allowed to happen. The construction is valid for a spacetime containing a temporary singularity and a Maxwellian electrodynamics containing a proposed “topological” axion field. Further, the concepts of transformation optics can be applied to show that our specific mathematical solution has a much wider applicability.