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We prove that if the frame S is decaying surface non-radiating, in the senseof Definition 1.1, then if the charge and current are analytic, either theyboth vanish, or S is non-radiating, in the sense of a previous paper. Inparticularly, by the result there, the charge and current satisfy certain waveequations in all frames S', connected to S by a real velocity vector, whosemagnitude is less than the speed of light.

Some Arguments for the Wave Equation in Quantum Theory 2