Is it important that negentropy be the result of subtracting from the maximum entropy? It seemed a sensible choice, up until it introduces infinities, and made every state’s negentropy infinite. (And also that, if you subtract from 0, then two identical states should have the same negentropy, even in different systems. Unsure if that’s useful, or harmful).
Though perhaps that’s important for the noting that reducing an infinite system to a finite macrostate is an infinite reduction? I’m not sure if I understand how (or perhaps when?) that’s more useful than having it be defined as subtracted from 0, such that finite macrostates have finite negentropy, and infinite macrostates have -infinite negentropy (showing that you really haven’t reduced it at all, which, as far as I understand with infinities, you haven’t, by definition).
Is it important that negentropy be the result of subtracting from the maximum entropy? It seemed a sensible choice, up until it introduces infinities, and made every state’s negentropy infinite. (And also that, if you subtract from 0, then two identical states should have the same negentropy, even in different systems. Unsure if that’s useful, or harmful).
Though perhaps that’s important for the noting that reducing an infinite system to a finite macrostate is an infinite reduction? I’m not sure if I understand how (or perhaps when?) that’s more useful than having it be defined as subtracted from 0, such that finite macrostates have finite negentropy, and infinite macrostates have -infinite negentropy (showing that you really haven’t reduced it at all, which, as far as I understand with infinities, you haven’t, by definition).