Abraham
Thnk you very much, reading your post has been delightful.
I always like to compare lift equation with friction force equation, when talking about lift theory.
Cambridge, Gottingen or MIT scientists could pursue and find an equation for friction which could be pages long, using all kinds of variables such as molecular mass and reach a point where physics would meet chemistry and even quantum theory, why not...
But then it is so much easier to make some experiments, tabulate, find relations of proportionality and find the constants for each material...
The equation obtained is so simple and beautiful, and so innocent because it does not challenge the mistery of creation, it only stares one of its laws. We could have an endless debate about "why is ther a friction force?" similar to "why airfoils lift".
That is why I love the lift Equation. It does not explain why air behaves the way it does when going past a wing. it accept it behaves that way. Then it describes how it affects the wing an what to expect if a few variables are known.