Part of my dissertation was about understanding the experience of time direction (in particular, the fact that cognitive systems record memories in one temporal direction and intervene in the opposite temporal direction) in statistical mechanical terms. I'd be happy to summarize the argument if you'd like, when I have the time.

Drool - I would very much like to get a copy of this part of your dissertation, or the whole thing, or a summary, whatever and whenever is convenient to you. I think I sorta get it on an intuitive level, but to fill in more of the physics would be wonderful.