Relativity and Cosmology


Speed Of Light From Motion Of Light Source

Authors: Eric Su

The relative motion between a pair of observers represents a reflection symmetry. In the rest frame of first observer, the second observer moves at a distance away. In the rest frame of the second observer, the first observer moves with the same speed at an identical distance away but in the opposite direction. The reflection symmetry shows that the elapsed time in each observer's rest frame is conserved in both rest frames. The light takes the same elapsed time to move between two observers in both rest frames. However, the distance traveled by the light is different in different rest frame. With identical elapsed time but different distance, the speed of light is proved to be different in different reference frame.

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[v1] 2019-05-11 00:38:42

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