In Shannon entropy, log is used to measure exp length of bitstring. What is the best analog to bitstring in thermodynamic entropy?
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@The_Lagrangian a bitstring as read by maxwell's demon, using it to decide whether to open the latch or close it.
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@The_Lagrangian that is one of my favourite pieces of physics: a correspondence between shannon and physical entropy en.wikipedia.org/wiki/Entropy_i
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@The_Lagrangian actually, that whole article.
I do not suppose you can reify degrees of freedom the same way you can do to possible strings?

