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Temporary Singularities and Axions an analytic solution that challenges charge conservation

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Temporary Singularities and Axions an analytic solution that challenges charge conservation. / Gratus, Jonathan; Kinsler, Paul; McCall, Martin W.

In: arxiv.org, 05.08.2020.

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@article{9168ab166194476d850124fbbf94c4c7,
title = "Temporary Singularities and Axions an analytic solution that challenges charge conservation",
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. ",
keywords = "gr-qc, physics.class-ph",
author = "Jonathan Gratus and Paul Kinsler and McCall, {Martin W.}",
note = "13 pages, 19 figures",
year = "2020",
month = aug,
day = "5",
language = "Undefined/Unknown",
journal = "arxiv.org",

}

RIS

TY - JOUR

T1 - Temporary Singularities and Axions an analytic solution that challenges charge conservation

AU - Gratus, Jonathan

AU - Kinsler, Paul

AU - McCall, Martin W.

N1 - 13 pages, 19 figures

PY - 2020/8/5

Y1 - 2020/8/5

N2 - 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.

AB - 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.

KW - gr-qc

KW - physics.class-ph

M3 - Journal article

JO - arxiv.org

JF - arxiv.org

ER -