Paper
25 August 2015 Continuum electrodynamics and the Abraham-Minkowski momentum controversy
Michael E. Crenshaw
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Abstract
Continuum electrodynamics is an axiomatic formal theory based on the macroscopic Maxwell equations and the constitutive relations. We apply the formal theory to a thermodynamically closed system consisting of an antireection coated block of dielectric situated in free-space and illuminated by a quasimonochromatic field. We show that valid theorems of the formal theory are proven false by relativity and by conservation laws. Then the axioms of the formal theory are proven false at a fundamental level of mathematical logic. We derive a new formal theory of continuum electrodynamics for macroscopic electric and magnetic fields in a four-dimensional at non-Minkowski material spacetime in which the speed of light is c/n.
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Michael E. Crenshaw "Continuum electrodynamics and the Abraham-Minkowski momentum controversy", Proc. SPIE 9548, Optical Trapping and Optical Micromanipulation XII, 95480J (25 August 2015); https://doi.org/10.1117/12.2188132
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KEYWORDS
Electrodynamics

Dielectrics

Maxwell's equations

Electromagnetism

Radon

Magnetism

Relativity

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