I do not know what he thinks about this situation but it would be interesting for him to acknowledge that the math he uses demonstrates that zero far field radiation is emitted by a construction of this type. It is likely that he assumed a spherical orbital shape and then derived that it would not radiate when the electron currents are constant. The math would become very difficult to handle with more complex current paths which might prevent anyone from taking that leap.
It can be shown that the actual shape of the current orbital is not important as long as the electron current remains constant at every point upon its surface. Of course the math required to prove this statement is way beyond my capability with anything but the simplest structures. A simple analogy is available. You can construct a fixed inductor by winding wire into any three dimensional path that you wish and will find that the final component does not radiate as long as the current fed into that structure retains a constant DC value. The magnetic field associated with the above mentioned inductor could be extremely complicated in three dimensional space with many knots, loops, etc. appearing within the near field. But, far field radiation would balance out to zero in all directions. Also, there is no requirement for the current to remain at the same constant value throughout the inductor's three dimensional space. Any structure that you wish can be generated as long as it can be built up from individual constant current sections. 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. Dave -----Original Message----- From: Eric Walker <[email protected]> To: vortex-l <[email protected]> Sent: Wed, Jan 20, 2016 10:27 am Subject: Re: [Vo]:quantum knots accomplished! On Wed, Jan 20, 2016 at 12:39 AM, David Roberson <[email protected]> wrote: An sphere can be constructed from a large number of individual toroids. As I have mentioned many times before, this toroid type of structure would not radiate provided the current is constant at every point within the toroid. Perhaps. But will Mills agree with it in connection with his theory? Eric
