Cecil,

In a simple monopole with one inductor, let L1 be the distance from the
base of an antenna to the bottom of the loading coil in meters, L2 the
length of the loading coil, L3 the distance from the top of the loading
coil to the top of the antenna. I is the base current, L the inductance
value and F the frequency. You can assume the antenna is very thin.

Since your theory is so elegant and well developed, and you've had such
an excellent education at Texas A&M, it shouldn't be difficult at all
for you to write a couple of simple equations which give the currents at
the two ends of the coil. In the time-honored methods of science, your
equations can then be tested against modeled and measured results to
prove the validity of your theory.

Roy Lewallen, W7EL