Question: The scalar p p = m 2 c 2 is Lorentz invariant because it is the magnitude of a four-vector. Use the covariant

The scalar p_μp_μ = −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 p_μp_μ is a constant, independent of proper time.

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