Mathematical Physics


The Complexification of Maxwell's Equations

Authors: Richard L Amoroso, Elizabeth A Rauscher

In this work we demonstrate that complex electric and magnetic fields are consistent with a geometry consisting of complex spacetime. We thus demonstrate that complex spacetime coordinates are not inconsistent with electromagnetic phenomena and may point to a direction for its unification with gravitational phenomena, in the weak Weyl field limit. The particular case we examine in detail is for an electron in a field where we derive Coulomb's equation. We examine this unification using the Weyl geometry in the linear approximation of the gravitational field.

Comments: 27 Pages.

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[v1] 2018-02-27 17:30:47

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