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 worldlines of test charges in external potentials, while the spacetime metric remains invariant under, and all other fields in spacetime remain independent of, any rescaling, i.e., re-gauging of the charge-to-mass ratio q/m. In order for this to occur, time is dilated or contracted due to repulsive and attractive electromagnetic interactions respectively, in very much the same way that time is dilated due to relative motion in special relativity and due to gravitational fields in general relativity, without contradicting the well-corroborated experimental content of standard electrodynamic theory and both special and general relativity. As such, it becomes possible to lay an entirely geometrodynamic foundation for classical electrodynamics in four spacetime dimensions, in which mechanical motions and objects are merely promoted into canonical motions and objects in accordance with well-established local symmetry principles. Further, when we consider the self-interactions of individual leptons understood to be responsible for the magnetic moment anomalies, and upon identifying a universal relation between time and energy whereby all forms of energy dilate (or contract) time regardless of their kinetic or interaction origin, it is shown how these magnetic moment anomalies which are quintessential hallmarks of quantum field theory, both measure and empirically validate electromagnetic time dilation, and are a direct and immediate consequence of local abelian and non-abelian gauge symmetries.
Comments: 74 Pages.
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[v1] 2016-09-26 17:14:28
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