I agree that closed physical systems aren’t optimizing systems. It seems like the first patch given by the author works when worded more carefully: “We could stipulate that some [low-entropy] power source [and some entropy sink] is provided externally to each system we analyze, and then perform our analysis conditional on the existence of that power source.”
Then an optimizing system with X bits of “optimization power” (which is log(target states / basin of attraction size) or something) has to sink at least X bits, and this seems like it works. Maybe it gets hard to rigorously define the exact form of the power source and entropy sink though? Disclaimer: I don’t know statistical mechanics.
I agree that closed physical systems aren’t optimizing systems. It seems like the first patch given by the author works when worded more carefully: “We could stipulate that some [low-entropy] power source [and some entropy sink] is provided externally to each system we analyze, and then perform our analysis conditional on the existence of that power source.”
Then an optimizing system with X bits of “optimization power” (which is log(target states / basin of attraction size) or something) has to sink at least X bits, and this seems like it works. Maybe it gets hard to rigorously define the exact form of the power source and entropy sink though? Disclaimer: I don’t know statistical mechanics.