Brother. 1) Yes, we are talking equilibrium, that was the whole point of the punctuated EQUILIBRIUM idea you crevos point to so often, as if you understood it. 2) No, equilibrium is not substantially related to the entropy debate. 3) It's a wonder to me you can tell forwards from backwards.
You are changing the subject, nevertheless I shall humor you. Punctuated equilibrium is total nonsense. Here's why - not only does it say that all the features, functions, genes, and non-coding DNA reqired for a transformation occurred together all of a sudden, but it says that a whole group of organisms made the same miraculous transformation all at once. Darwin was not a scientist, but he did realize that such a notion is totally absurd that's why he rejected it and why anyone with an ounce of common sense will also reject it.