Constraints for electric charge from Maxwell's equations and boundary conditions

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Cameron, Robert P (2022) Constraints for electric charge from Maxwell's equations and boundary conditions. Physica Scripta, 97 (3). 035502. ISSN 0031-8949 (https://doi.org/10.1088/1402-4896/ac50c7)

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Abstract

Certain boundary conditions constrain the forms that the electromagnetic field can take in a theory, in particular the boundary conditions inherent to closed spaces. According to Maxwell's equations, this can give rise to constraints for the electric charge in the theory. We identify three such "boundary constraints" for electric charge and highlight some of their myriad implications, touching upon a wealth of topics including the self-consistency of practical calculations, the nature of dark matter, the origin of electric-charge quantisation and the shape of the Universe. Furthermore, we explain that magnetic analogues of our boundary constraints offer new insights into the possible existence of magnetic monopoles and dyons.

ORCID iDs

Cameron, Robert P ORCID logoORCID: https://orcid.org/0000-0002-8809-5459;
  • Item type:Article
    ID code:79547
    Dates:
    Date
    Event
    10 February 2022
    Published
    1 February 2022
    Published Online
    1 February 2022
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:10 Feb 2022 11:53
    Last modified:11 Nov 2024 13:23
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/79547
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