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The CM frame is only accelerating from the point of view of an observer
at rest in the lab frame (lab observer). But the forces on the electrons
are equal and opposite in the CM frame, so from the point of view of an
observer at rest in the CM frame (CM observer), the CM frame is
inertial."
I'm aware of the traditional explanation, but no one has yet shown me
that the momentum of particles plus fields is conserved in both
frames, for the specific cases I gave.