Quit that . You said I was playing cavalier with Newton. So you rephrase it to mean you are not criticizing Newton. Why do you pull this ?
Caught up yet? Seriously...
You really think I don't get it.
From what I can tell you are one of the people who walks into a room and yells "physics, calculus, quantum mechanics" just because a majority of people don't find these things interesting or were taught poorly in the first place. I think I could take 90% of the people on this board and take them slowly though science starting with physics and work up to some biological phenomena. I think I could get them to understand why biological systems only use very discrete energy levels to sense the world around them thus giving them a feel for how little we can understand without physical analogy. They would understand more than you in your quantum world. Because you happen to be concentrating on that right now hardly makes you an expert in anything useful. This would be more like an idiot savant stemming off one specific area of human endeavor.
And Just because one goes through a subject quickly or slowly does not necessarily indicate how profoundly they understand. You can use your Hibbert fields to impress people with a way to more usefully express wave functions, But the physical reality of what all this means is much more important. One can easily illustrate how a good algebra background makes slightly complex calculus doable, but the central idea of limits are not appreciated in differentiation or integration as it applies to some physical reality. This is the real beauty. Not getting a hard on for some very specific part of math that allows you to do other math.
I bet I could give find a version of a first year physics in HS as given by the new introductary AP1 exam and you would fail to make a good score. (A colleague told me it was more difficult than the calculus based physics because it dealt with ideas with much less math and more with concepts; his son was not one of the 4% nationwide who got a 5) Probably because you have not done it in a while. And this would make you stupid? Because it covers Newtonian mechanics and you are way, way beyond that.
So maybe I go and intensely study topology and come back and insult people on a basketball board. That would make me feel so good.
Enough already. I hope the majority of the board just skips all this drivel, I would.