Let be two four-vectors. Show that the scalar product is a Lorentz invariant scalar. It will be
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Let be two four-vectors. Show that the scalar product is a Lorentz invariant scalar. It will be convenient to write a = aΙΙ + a⊥ and similarly for b.
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à = (a, a4) and b = (b, b4)
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To show that the scalar product a b ab ab a4b4 is a Lorentz invariant scalar we need to demonstrate that it has the same value in all inertial frames ...View the full answer
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