There is an interesting connection between a set of states you can use to perform what, informal is called useful work in termodonamics. And it's interesting that it doesn't er to prove this result. You don't have to appeal to any scale related considerations of your seems like this statement is a free of the problems. It would be interesting to investigate whether the second low connection could be somehow rooted into this other connection. This is an open problem, which im n thinking about right now.

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