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What James means is that we express our microstate as a combination of
single system states (e.g. particles in a box of gas) and allow them to
interact. The propagation of the interaction then proceeds at some
finite speed near sound speed.
So instead of a basis of exact stationary states for the whole system,
you'd prefer to use a basis of products of single-particle states.
To me it's not at all obvious what happens in this basis, that is,
whether all 10^(10^23) possible states will eventually get mixed into
the wavefunction (according to the Schrodinger equation). That's why
I chose to work in a basis where the answer is obvious.
Do you know a way to prove that all 10^(10^23) states *will* get
mixed into the final wavefunction, using your basis? This isn't
obvious to me at all. And even if it's true, can you tell me why
your basis is better than mine? (If entropy depends on our choice
of basis, doesn't that make it subjective?)