Art wrote:
"This idea of waves moving along with the current flow and various other
ideas put forward by book authors seems to be a never ending attempt to
provide substance(d) to long ago thought out bad theory which would be
disrupted if current was observed to flow in the center of a radiator."

The theory is well tested and good.

Authors often write books to inform. They are paid for their efforts.

Skin effect is a fact of agreement among the scientific community. A
proof is readily at hand. Coaxial cable keeps what`s inside in and
what`s outside out.

The best exposition of "skin effect" that I know of is found in chapter
27 of "Radio-Electronic Transmission Fundamentals" by B. Whitfield
Griffith. The 1st edition was published in 1962. It was republished by
Scitech in 2006. Art would enjoy and benefit from all 638 pages.

Best regards, Richard Harrison, KB5WZI