Vignette

But I'm pretty sure that if integers are coming back in after we have a continuum it's because of topology; making a full cycle or turning back. Returning to start having completed something or not.

Some kind of topological invariant.

I'd like to explain quantum mechanics in terms of geometry which may or may not be classical. I by no means want to explain it by deciding it is an axiom.

Especially if the axiom is that 'there are things we fundamentally cannot know described as if they were perfectly known as perfect sources of randomness'

I am convinced that quantum mechanics is going to stop looking mysterious when we see how correlations are something we learn about our perspective and not something we assume about superluminal information communication

What is geometry that is not classical? Also, what specific quantum things do you find conceptually problematic? I’m guessing entanglement is one of them

Special relativity going all hyperbolic is perhaps geometry that is not classical. But most of my problems with quantum are that I've never learned it properly and have learned most of what I know from Wikipedia.