Authors: Steven Kauffmann
The space-time Galilean transformation is predicated on a salient theme of Galilean/Newtonian physics: relative motion at constant velocity has no physical consequences beyond the minimum which is required by that motion's existence. Therefore, since the electric field produced by a point charge at rest is spherically symmetric around the charge's location, and since a point charge at rest produces zero magnetic field, Galilean physics implies that a point charge moving at constant velocity produces an electric field which is spherically symmetric around that charge's instantaneous location and that it produces zero magnetic field. But the Biot-Savart-Maxwell Law has it that a point charge moving at nonzero constant velocity produces nonzero magnetic field, and Faraday's Law has it that this time-varying magnetic field, which has zero component along the line of the charge's motion, produces an electric field which isn't spherically symmetric around the charge's instantaneous location. Thus the space-time Galilean transformation is violated by electromagnetic phenomena in a definite way, and must be modified. The needed modification produces the space-time Lorentz transformation, which can straightforwardly be shown to never change the speed of electromagnetic radiation. The fate of the Galilean/Newtonian constant-velocity relative-motion paradigm was actually already sealed when it was observed that the presence of direct current in a wire deflects an adjacent compass needle.
Comments: 16 Pages.
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