[ulamia]

I think this more about the arrow than the entropy.

Considering the ‘arrow of time’ a function on each microstate lends itself better to ”can” questions.

I think both the author and you are assuming your definition for the arrow is correct.

It is still unknown if the arrow allows any arbitrary state to become another, or if there is a strict genealogy for the change of the state that can be seeded from an existing state that ensures it will evolve into a specific other under some time scale, or whether either of those permit Boltzmann brains, or even if there is some control the state has over itself (free will?).