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A careful examination of the fundamentals of electromagnetic theory shows that due to the underlying mathematical assumptions required for Stokes' Theorem, global charge conservation cannot be guaranteed in topologically non-trivial spacetimes.
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G. Matteucci, D. Iencinella, C. Beeli, The Aharonov–Bohm phase shift and Boyer’s critical considerations: New experimental result but still an open subject?, Foundations of Physics 33 · 2003
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T. Dereli, J. Gratus, R.W. Tucker, The covariant description of electromagnetically polarizable media, Phys. Lett. A 361 · 2006
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J. Gratus, P. Kinsler, M.W. McCall, R.T. Thompson, On spacetime transformation optics: temporal and spatial dispersion, New J. Phys. 18 · 2016
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J. Gratus, P. Kinsler, M.W. McCall, Maxwell’s (D,H) excitation fields: lessons from permanent magnets, Eur. J. Phys., 40 · 2019
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J. Gratus, M.W. McCall, P. Kinsler, Generalized electromagnetic constitutive relations (2019), · 2019
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doi:10.1088/2040-8978/13/2/024003
M.W. McCall, A. Favaro, P. Kinsler, A.Boardman A spacetime cloak, or a history editor, J. Opt. 13 · 2040
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