It is intriguing that since 1964 it has been known in the literature that there are radiationless charge current configurations, the general form of solutions for which have the same form as the uncertainty relation of quantum theory.
I ran across this body of work while searching for ways of constructing an “antenna” that would not emit EM for our work on longitudinal vector potential wave radio. There is at least one “crackpot” theory of physics based on a model of the electron as a charge current configuration which, in a stable condition (whether an orbital or free electron) does not radiate. But I’ll not discuss that here as it is probably the most extreme point on the scatter plot I described elsewhere and therefore makes people go completely bonkers when I bring it up.
