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Needless to say, I have many questions, and as I'm not at University, few resources for getting answers.

Many of my questions are at this point conceptual not mathematical, so I apologize for my lack of rigor. But this is important to me as I need to build appropriate visualizations before the math makes sense to me.

So two very basic questions:

Does it make sense to talk about the "shape" of the universe at the Plank scale? I mean this in the same sense that at the macro scale the universe is thought to be spherical, flat or hyperbolic.

I understand that the position of an electron in its orbital cloud is essentially probabilistic and you can't talk about where it is at one moment and then predict where it will be in the next moment. It's next position could be anywhere within the cloud based on the probability function. So my question: Does it make sense to describe the motion of the electron as discontinuous? E.G. in classical mechanic, you can't get from point A to point C without passing through point B. But in a probabilistic model, there is a non-zero chance of "appearing" at point C.

Thank you for your patience.

Bob