The real identity or ultimate nature. I.E answer to whst is question of Wade function has puzzled physicists.

In Lagrangian vs Hamiltonian, the later is Constant wheress the reviews is altering and thus express something about the state of motion or carries info about it.

Coinvidence, Wf also does just this. In special applications i.e pendukum, Lagrangian is wave like.

So one comes to wonder if the Wf is just a Langrangian function given a different name* where as its functional identity iis just this

*plus a new equation to calculate it, not just the simple K-V but the Schrodinger one, which in its guts has K and V elements, why however it eventually tends to express a difference of these via a pde needs research and a proof would be interesting to see or someone in validate my above argument..