Rick, it is nice to discuss all the side topics but I’ll wait that you will answer to the criticism about your use of affine velocity. Your conclusion that power law is a side effect of control may be and quite surely is pertinent, but because the mathematical justification you use for it does not bear closer scrutiny, no one has to take you seriously. That is the price you have to pay if you abandon the truth.
(I have forgotten to reference to Adam’s message which shows that angular speed is very similar construct as affine velocity.)