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Physics
Special and General Relativity
Derivation of SR's time-dilatation in 1d?
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[QUOTE="Pony, post: 6851476, member: 643077"] I claimed in my opening post that this set of equations are equivalent, and my goal is to derive them, using the fact that c is constant. The common approach goes like (for example on the wiki [URL]https://en.wikipedia.org/wiki/Time_dilation#Simple_inference[/URL] but everywhere else that I can find) : you move a light clock with velocity v, you get a right triangle with sides x, ct, cτ (the green triangle on the wiki page), Pythagoras gives you $$ c^2\tau^2 + x^2 = c^2t^2 $$ then you do what you wrote. I am not satisfied that it uses the fact that perpendicular length contraction is zero, and I am looking for an another approach. [/QUOTE]
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Physics
Special and General Relativity
Derivation of SR's time-dilatation in 1d?
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