Mathematical Physics


Real and Complex Amended Maxwell’s Equations for Non-Abelian Gauge Groups

Authors: Richard L Amoroso, Elizabeth A Rauscher

In this work we analyze, calculate and extend modification of Maxwell’s equations in a complex Minkowski metric, M4 in a C2 complexified space using the SU2 gauge, SL(2,c) and other gauge groups, such as SUn for n > 2 expanding the U1 gauge theories of Weyl. Weyl identified the U1 gauge group for the standard Maxwell’s equations in its nonrelativistic form in M4 space. We expand the form of the elegant electromagnetic equations and express them in C4 space for the nonrelativistic formalism and for the relativistic formalism of the equations. The advanced and retarded formalisms are also examined. In the case where Maxwell’s equations are solved in C4 space, or the complex 8-space, we can extend the theory to considerations of other gauge groups such as SL(2,c), SUn for n > 2 and SU2 expanding the approach beyond U1 gauge conditions.

Comments: 8 Pages.

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Submission history

[v1] 2018-02-28 10:40:02

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