Electromagnetic Waves, Inertial Transformations and Compton Effect

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Scientific Paper
Title Electromagnetic Waves, Inertial Transformations and Compton Effect
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Author(s) Biagio Buonaura
Keywords Electromagnetic Waves, Inertial Transformations, Compton Effect
Published 2007
Journal Apeiron
Volume 14
Number 3
No. of pages 30
Pages 184-213

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Abstract

The Inertial Transformations (IT) are a new set of transformations of the space and time variables providing an alterative (but empirically equivalent) approach to the Theory of Special Relativity (TSR). With the IT, the one way velocity of light is isotropic only in a privileged reference frame, S0. In this new theory only a weak form of relativity principle holds. We apply the IT to the collision of an energetic photon with an electron (Compton effect). A theoretical description of the dual quantum mechanical photon having both wave and particle properties is required. From the undulatory point of view we use the IT to deduce the e.m. wave equations in an inertial reference frame S moving with respect to S0 with (absolute) velocity V. Using the Maxwell equations in the form suitable to S, we show that the e.m. plane waves in S have the same properties as in S0: the fields are perpendicular to one another and perpendicular to the propagation direction of the field energy. The latter direction, however, does not coincide, in S, with the propagation direction of the e.m. plane wave. From the corpuscular point of view, we show that in the framework of the IT the usual equations relating the photon energy and momentum to frequency also hold. The result of this research on the Compton effect is a complete empirical equivalence between the TSR and the IT approach.