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Yes, that was my point, and until you bridge that gap the person risks taking it as yet another weird theory of turning copper into gold.
But that gap can be bridged in a matter of three years' worth of university education.
So Newton wouldn't understand QM and GR in the sense that if you presented him with the results, he'd say that they were nonsense. But he would certainly be able to understand them if you explained their basis in experiment and theory. Only, that explanation would take a couple of years, because there's a limit to how much you can compress this stuff...
A couple of centuries gap is a leap sufficiently big to turn a heresy to material fact, or to make walking on air accepted by empiricists :)
I'm not sure what the point is here? That the world is weirder than we imagine? Certainly. But it is also weird in different ways than what we imagine. Of all the weird ideas about the world - from Newton going forward - only a minuscule fraction of a percent have turned out to be correct.
Your comparison is of the wrong category. It would be weird if they were made of two different kinds of molecules at the same time.
But who promised you that waves and particles were two different kinds of phenomena? At the quantum level, they are no more different than electricity and magnetism are different in the relativistic picture. That is equally weird if you stop to think about it.
As to the equations, you're probably aware that the issue is about statistics involved in explaining a fundamental property of the matter, and with it, the fact that we still don't know what a photon is.
But we do. It's what comes out when you quantize the Maxwell equations. Why does there need to be more to it than that?
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