The Abraham Zelmanov Journal
The journal for General Relativity, gravitation and cosmology
Maxwell's Equations and the Absolute Lorentz Transformation
This note supplements Chapter 8 of my thesis that studies Maxwell's equations under the Absolute Lorentz Transformation (A.L.T.), and it compares in greater detail the fields transformed under the A.L.T. with those under the L.T. The general covariance of Maxwell's equations is reviewed, and it is noted that in the case of flat spacetime this includes the A.L.T. The d'Alembertian equation under the A.L.T. is given for the vector potential in the Landau gauge which is shown to be invariant under linear transformations. It is also pointed out that the trajectory of a particle will be the same with the L.T. or the A.L.T., except that the two sets of clocks will record different travel times; although they will agree for a round-trip journey.
Ref: The Abraham Zelmanov Journal, 2009, volume 2, pages 111-120
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