The natural relativistic generalization of the Abraham-Lorentz formula (Eq. 11.80) would seem to be This is certainly

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The natural relativistic generalization of the Abraham-Lorentz formula (Eq. 11.80) would seem to be This is certainly a 4-vector, and it reduces to the Abraham-Lorentz formula in the non-relativistic limit v << c.

(a) Show, nevertheless, that this is not a possible Minkowski force.

(b) Find a correction term that, when added to the right side, removes the objection you raised in (a), without affecting the 4-vector character of the formula or its non-relativistic limit.

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