Abstract
AbstractAn analytic solution for electromagnetic fields interacting with an axion field that violates global charge conservation is constructed. 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.
Highlights
Singularities play an interesting role in physics, and come in many different varieties, from the mathematically and philosophically challenging [1,2,3] to the more mundane [4,5,6]
In [9] we showed that a non trivial spacetime can in principle break global charge conservation, but without detailing a specific set of electromagnetic constitutive relations that might support this
We have investigated the behaviour of charge conservation, a usually sacrosanct principle of standard electromagnetism
Summary
Singularities play an interesting role in physics, and come in many different varieties, from the mathematically and philosophically challenging [1,2,3] to the more mundane [4,5,6]. In order to break global charge conservation it is necessary that both of these mechanisms no longer apply, i.e. we need an extension to Maxwell’s equations where D and H are not fundamental physical fields, but are merely gauge fields for the charge and current, and a topologically non-trivial spacetime M, such as in this article, where we consider spacetimes with a temporary singularity. In [10] a minimal extension to Maxwell’s equations was considered where D and H did not appear, and which provided an additional axionic term for Maxwell’s equations Using this axionic term, we give in this article an explicit construction of an electromagnetic field configuration which can lead to the breaking of global charge conservation.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
