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I quote from the article:
I'm fairly certain this isn't true on at least two accounts. Firstly, Lorentz covariance applies only to two different '''inertial''' frames of reference. And secondly, not all predictions are the same: even in Galilean relativity, we predict different values of kinetic energy in different reference frames. The situation is similar in special relativity: various physical quantities (energy, momentum, B-field etc) transform (note this is NOT the same!) as components of various ''spacetime vectors''.
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