The scalar p p = m 2 c 2 is Lorentz invariant because it is
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The scalar p_{μ}p_{μ} = −m^{2}c^{2} is Lorentz invariant because it is the magnitude of a fourvector. Use the covariant equation of motion for a point charge in an electromagnetic field to prove, independently, that p_{μ}p_{μ} 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 dp ds qFP where d...View the full answer
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