Reception of Light Signals in Galilean Space-Time

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Scientific Paper
Title Reception of Light Signals in Galilean Space-Time
Author(s) Adolphe Martin
Keywords special relativity, Galilean relativity, light speeds
Published 1997
Journal None
Pages 47-55

Abstract

Ny interpreting Relativity in Galilean space and time, it was found that the time of light reception by an observer moving relative to a source is a different event from the reception of the same light by an observer at rest. The Einstein viewpoint considers these two events to be the same, thus introducing the Special Relativity paradoxes. Using only Einstein's own coordinates and speed parameter as given by the Lorentz equations but introducing his Doppler factor and reasonning as a Galilean, we arrive at a different viewpoint from Einstein's with light speeds c', relative to the source and c', relative to the observer, different from Einstein's constant co. This viewpoint becomes an isomorphism of a truly Galilean viewpoint with relative velocity V given by v/co = tanh (V/co) and light speeds C = C' + V and C' = C - V, where angles remain the same as in Einstein space-time, and all corresponding distances have the same ratio sinhB/B, the Galilean coordinates being given by both the Lorentz equations and Galilean transformation. This eliminates the Special Relativity paradoxes, though respecting the relativity principle and invariance of space and time of Galilean Relativity.