I don’t know what sameness is, sorry. It’s not a definition I have encountered in physics, and SEP is silent on the issue, as well. I sort of understand it intuitively, but I am not sure how you formalize it. Maybe you can think about it in terms of the non-conservation of the coarse grained area around the evolved distribution function, similar to the way Eliezer discussed the Liouville theorem in his Quantum Sequence. Maybe similar areas correspond to more sameness, or something. But this is a wild speculation, I haven’t tried to work through this.
I don’t know what sameness is, sorry. It’s not a definition I have encountered in physics, and SEP is silent on the issue, as well. I sort of understand it intuitively, but I am not sure how you formalize it. Maybe you can think about it in terms of the non-conservation of the coarse grained area around the evolved distribution function, similar to the way Eliezer discussed the Liouville theorem in his Quantum Sequence. Maybe similar areas correspond to more sameness, or something. But this is a wild speculation, I haven’t tried to work through this.
Well, thanks for discussing it, I appreciate the time you took. I’ll look over that sequence post.