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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.

In: Annalen der Physik, Vol. 533, No. 6, 2000565, 30.06.2021.

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@article{5551b0ae26264eadac2c6198981c1999,
title = "Temporary Singularities and Axions: an analytic solution that challenges charge conservation",
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.",
keywords = "Electromagnetism, topology, charge-conservation, constitutive relations, gauge freedom",
author = "Jonathan Gratus and Paul Kinsler and Martin McCall",
year = "2021",
month = jun,
day = "30",
doi = "10.1002/andp.202000565",
language = "English",
volume = "533",
journal = "Annalen der Physik",
issn = "0003-3804",
publisher = "Wiley-VCH Verlag",
number = "6",

}

RIS

TY - JOUR

T1 - Temporary Singularities and Axions

T2 - an analytic solution that challenges charge conservation

AU - Gratus, Jonathan

AU - Kinsler, Paul

AU - McCall, Martin

PY - 2021/6/30

Y1 - 2021/6/30

N2 - 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.

AB - 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.

KW - Electromagnetism

KW - topology

KW - charge-conservation

KW - constitutive relations

KW - gauge freedom

UR - https://arxiv.org/abs/2008.02135

U2 - 10.1002/andp.202000565

DO - 10.1002/andp.202000565

M3 - Journal article

VL - 533

JO - Annalen der Physik

JF - Annalen der Physik

SN - 0003-3804

IS - 6

M1 - 2000565

ER -