> This is a weird sort of hubris. “I’m not qualified to do this job but I can certainly tell you how it needs to be done.”

A quantum state is a mathematical entity that represents a physical system. Since waves are not physical can you see where I can assume that the math needs to start from a different place? If it is even useful at all?

> it’s known that these particles exhibit quantum behavior. Many measures are in fact quantized.

To measure is to quantize, so this is circular reasoning. If particles are always waves we would still see the quantum behavior.

> Second, existing as a wave does not mean no discrete quantities.

Where is the precise point a standing wave ends and begins? The best we can do is guess with calculus and differential equations. Again, yoiu are quantifying things that in and of themselves are not quantized outside of our conception.