Some arguments for the wave equation in Quantum theory 2

We prove that if the frame S is decaying surface non-radiating, in the sense of Definition 1, then if (ρ, ¯ J ) is analytic, either ρ=0 and ¯ J = ¯ 0 , or S is non-radiating, in the sense of [1]. In particularly, by the result there, the charge and current satisfy certain wave equations in all the frames S ¯ v connected to S by a real velocity vector ¯ v , with | ¯ v |<c.