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