Mark Keith wrote:
"Why would I even "need" to do your work?"

Good question.

Art`s full wavelength of wire is rolled up so its individual elements
aren`t strung up to fully reinforce each other`s fields. Resistance loss
of the elements adds even when rolled up.

Art wrote:
"What blows my mind John there is nobody willing to do the math with
respect to my extension of GAUSS."

Who needs it?

Terman`s 1955 opus says on page 864:
"Radio waves represent electrical energy that has escaped into free
space: they are described in detail in Sec. 1-1. Radio waves are
produced to some extent whenever a wire in open space carries a
high-frequency current. The laws governing such radiation are obtained
by using Maxwell`s equations to express the fields associated with the
wi when this is done there is found to be a component, termed the
radiated field, having a strength that varies inversely with distance."

Best regards, Richard Harrison, KB5WZI