Sunday, 12 July 2015

spacetime - What is so special about the factor $sqrt{1-{v^2/c^2}}$ in special relativity?


I am studying a book about relativistic equations and special relativity, and I keep seeing $\sqrt{1-{v^2/c^2}}$ everywhere. It is not, as with most of the concepts in special relativity, simply a mathematical construct; it is a logical consequence of accepting the experimental fact that the speed of light is the same in every inertial reference frame. Why, then, is this expression so significant?




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