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  • Gratus-KM-2020adp

    Accepted author manuscript, 1.61 MB, PDF document

    Embargo ends: 1/01/50

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

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

Research output: Contribution to journalJournal articlepeer-review

Forthcoming
<mark>Journal publication date</mark>17/03/2021
<mark>Journal</mark>Annalen der Physik
Publication StatusAccepted/In press
<mark>Original language</mark>English

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.