QM is many things

You might want to be a little more specific, and rely less on approximations.

I am aware of what the Copenhagen interpretation states, thanks

To what approximations do you refer?

Here we discard Copenhagen and move forward.

Take your pick

Schrodinger/Dirac/Feynman.

A wave is a product, trigonometric functions do not exist.

Gerard hooft was on Curt Jaimungal's youtube channel a while back, I generally agree with him, discrete systems cannot be explained by real numbers, only integers

Not following youtube, sorry.

uhuh, well I'm sure you know how to use a search engine