Disorder is a consequence of the laws of probability which are the same whether the universe is expanding or contracting. Once upon a time the scientists thought the universe was or would eventually contract into a inverted big bang and then explode again. We still had disorder. In fact, black holes are characterized by the contraction and absorption of space itself which due to the fantastic forces involved produces disorder out of order, except maybe in the singularity where a phase change could produce the perfect order of the unified field. Of course, it could be just as well perfectly disordered. Both are possibilities at the present time. Disorder is of course a lack of certain symmetries. And since most of the world is disordered and turbulent, those symmetries are missing. But the evolution of life producing to combination of complexity and life- an unbeatable combination.