On Wed, Jan 20, 2016 at 10:14 AM, David Roberson <[email protected]> wrote:

The bottom line is that it is easy to produce a non radiating structure of
> any degree of complexity as long as the currents flowing within that
> structure are constant.  An orbitsphere such as Mills appears to refer to
> is a simple example.
>

Stefan Israelsson Tampe explained sometime back that the orbitsphere is
characterized by a non-constant charge distribution in which the charge is
proportional to the real value of one of the spherical harmonics:

https://www.mail-archive.com/[email protected]/msg105034.html

If Stefan is correct, it seems that Mills is proposing a current that
varies along the surface of the orbitsphere, i.e., is not constant. Stefan
in a later email says that the non-radiation condition is not the only
requirement that must be met:

https://www.mail-archive.com/[email protected]/msg105060.html

I mention this not because I was persuaded of anything by that thread, but
because it seems relevant to your thought experiment.  As an aside, it
seems to me that in such thought experiments a two-dimensional sheet of
current is not sufficient to explain other experimental observations. I am
of the impression that the current distribution that describes an electron
orbital must be three dimensional, varying with the radius.

Eric

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