> 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

> 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_thermodynamics)#Counting_of_microstates 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.