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Einstein's mass-energy relation is presented in pop-culture as E=mc² This is unfortunate: E=mc² is only true for a particle at rest (𝑝=0) For a particle in motion, its energy is given by the relation belowpic.twitter.com/qMfhYozGvh
Haha nice, but don't you need a (1/2) with the pc?
Don't think so. E is the time component and pc the space part of the momentum four-vector.
What would the mass-energy relation look like on a curved surface?
Yes 
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Closely relatedhttps://twitter.com/sfera314/status/1002599333513105408/ …
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Full paper (web and pdf) @ https://www.lucamoroni.it/the-trig-route-to-mc …²/ pic.twitter.com/Q4K7CbQyfxShouldn't it be called "pseudo-Pythagorean" because the metric is Minkowski, not Euclidean?
m is the "invariant mass" in fact the relation reads: -(mc^2)^2=-E^2+(pc)^2 Which is the "Minkowksi line element" (not Pythg) for the 4-momenta like: s^2=-(ct)^2+x^2 for spacetime. In that sense it is "non-Pythagorean" (++++), but "Minkowskian" (- +++) ;-) https://arxiv.org/abs/gr-qc/0407022 …
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