Relativity and Cosmology

    

Geometrodynamic Foundation of Classical Electrodynamics

Authors: Jay R. Yablon

We summarize how the Lorentz Force motion observed in classical electrodynamics may be understood as geodesic motion derived by minimizing the variation of the proper time along the worldline of test charges in external potentials, while the spacetime metric remains invariant under, and all other fields in spacetime remain independent of, any rescaling of the charge-to-mass ratio q/m. In order for this to occur, time is dilated or contracted due to attractive and repulsive electromagnetic interactions respectively, in very much the same way that time is dilated due to relative motion in special relativity, without contradicting the latter’s well-corroborated experimental content. As such, it becomes possible to lay an entirely geometrodynamic foundation for classical electrodynamics in four spacetime dimensions.

Comments: 28 Pages. v4 contains an improved development of the Lagrangian and geodesic gauge conditions, and a new section 7 presenting an energy flux equation for both gravitational and electrodynamic sources.

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Submission history

[v1] 2016-05-24 22:26:53
[v2] 2016-05-26 09:58:36
[v3] 2016-06-03 10:49:28
[v4] 2016-06-16 21:52:43

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