The scalar p p = m 2 c 2 is Lorentz invariant because it is
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The scalar pμpμ = −m2c2 is Lorentz invariant because it is the magnitude of a four-vector. Use the covariant equation of motion for a point charge in an electromagnetic field to prove, independently, that pμpμ is a constant, independent of proper time.
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The covariant equation of motion for a point charge in an electromagnetic field is dpds qFP where dp...View the full answer
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