I think the reason Physics (call it God, or Simulator, or whatever) uses Quantum Mechanical uncertainty (Probability Wave Functions) is because the number PI wo

I think the reason Physics (call it God, or Simulator, or whatever) uses Quantum Mechanical uncertainty (Probability Wave Functions) is because the number PI would take infinite time and storage space to compute. Not even God can compute the number because it is not 'representable' even with infinite memory. And every calculation involving particle trajectory involves PI. So what "nature" does instead of computing it is to create a function that represents it, and then solves the function later on 'on demand' with whatever accuracy there is, which is definitely finite.