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physics people: how accurate is this?


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This is an image from Relativity Visualized by Lewis Epstein, describing the tradeoff between traveling through space and traveling through time. Is this really how it works, or is it an over-simplification?  Is it really just a matter of traveling down the hypotenuse of space vs. time, using the pythagorean theorem?  

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Edited by daijobu
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