Have you thought about the composition of the dot of your dot-wave. Is it possible that it might be a saturated point where electric and magnetic amplitude is the maximum that it can ever be in space?

The dot-size that I accept is the plank radius 1.616E-35 meters. At this radius all the dimensions exist.

The dot-voltage is

KQd/R

For the high density dot, Q is 5.39E-37 coulombs

For the low density dot, Q = 8.1E-61 coulombs

As you see from the equations, the dot-voltage at the Plank radius is the highest level.Around 300 million volts at the Plank radius for the high density dot wave. Much lower for the low density dow wave.

As the dot moves it produces a corresponding high magnetic field at the plank radius. Much lower further out.

Does the dot always move? Can it be perfectly stationary. If it always moves it always will have an electric and magnetic field. Perhaps it oscillates within the Plank radius.

Thanks for the question because I have not really thought about the electric and magnetic fields at the plank radius. I was just happy that the moving dot produces a magnetic field. Now your comments bring up the possibility that a spherical magnetic field could always exist as the dot spins around the plank radius. If this is true than moving dot changes a spherical field into a linear field. Thus it could be argued that the magnetic field of the dot-wave always exists. It merely changes from spherical to linear.