This is just flat out wrong and you've been corrected on it several times. No one denies that quantum mechanics was developed after Lagrangian and Hamiltionian methods and after Noether's theorem but that doesn't mean they don't apply to it. That's like saying that calculus predates all physics from 1700 onwards therefore we can't use calculus in any modern physics. No, it is much more general than that. The mathematical similarities between classical mechanics and quantum mechanics are stricking, anyone whose looked into Hamiltonian mechanics enough will see that. And the claim that no one has checked whether these formalisms apply is just nonsense. Your website is full of half truths and flat out mistakes. Your bit about the GPS setup has also been high lighted in this thread.