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Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge. / Gratus, Jonathan; Kinsler, Paul; McCall, Martin.
In: arXiv, 06.11.2020.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Gratus, J, Kinsler, P & McCall, M 2020, 'Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge', arXiv. <https://arxiv.org/abs/2008.02135>

APA

Gratus, J., Kinsler, P., & McCall, M. (2020). Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge. arXiv. https://arxiv.org/abs/2008.02135

Vancouver

Gratus J, Kinsler P, McCall M. Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge. arXiv. 2020 Nov 6.

Author

Gratus, Jonathan ; Kinsler, Paul ; McCall, Martin. / Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge. In: arXiv. 2020.

Bibtex

@article{dbf0ad392b714228ae345957334c4dbd,
title = "Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge",
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 proposed {"}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. ",
author = "Jonathan Gratus and Paul Kinsler and Martin McCall",
year = "2020",
month = nov,
day = "6",
language = "English",
journal = "arXiv",
issn = "2331-8422",

}

RIS

TY - JOUR

T1 - Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge

AU - Gratus, Jonathan

AU - Kinsler, Paul

AU - McCall, Martin

PY - 2020/11/6

Y1 - 2020/11/6

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 proposed "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 proposed "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.

M3 - Journal article

JO - arXiv

JF - arXiv

SN - 2331-8422

ER -