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by kgwgk 699 days ago
> So the case I mentioned, where you know all the positions and momentums has 0 shannon entropy

No, Shannon entropy is not applicable in that case.

https://en.wikipedia.org/wiki/Entropy_(statistical_thermodyn...

Quantum mechanics solves the issue of the continuity of the state space. However, as you probably know, in quantum mechanics all the positions and momentums cannot simultaneously have definite values.