The Radiation Continuum Model of Light and the Galilean Invariance of Maxwell's Equations

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Scientific Paper
Title The Radiation Continuum Model of Light and the Galilean Invariance of Maxwell\'s Equations
Author(s) Curtis E Renshaw
Keywords radiation, continuum, invariance
Published 1996
Journal Galilean Electrodynamics
Volume 7
Number 2
Pages 13-22


Maxwell's equations do not in themselves predict a specific value for the constant (or variable) c which appears in them.  This value is determined experimentally as the relative velocity at which a photon must strike an observer in order to be absorbed.  By modifying the second postulate to state:  "The observed velocity of light is c from all frames of reference," the radiation continuum model (RCM) of electromagnetic radiation is developed.  On the basis of this model, a Galilean invariant form of Maxwell's equation if obtained.  Equations for transverse and radial Doppler shift are derived.  An analysis of the force on a moving charge above a neutral current carrying wire is provided from varying reference frames without reporting to SRT or Lorentz transformations.  An application to particle accelerators explains the apparent mass increase with velocity.