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Dear Julian,
As my second favorite writer on time (you get three guesses as to the favorite--it's not I--and the first two don't count) -- you never disappoint. And when you speak geometry and information theory, it's with the same crisp authority and delightfully melodic prose that captivates from the beginning and carries to the end.
So it's not easy to suggest to a master of his subject that he's missed an opportunity. Fools rush in. Appendices are not part of the competition, so you're still a safe "10" -- still, I would point out in appendix B that your diagram for translations and rotations in Euclidean space, if my arithmetic is correct, is Euler characteristic 2. That of course implies a closed manifold of dimension 3 which corresponds to your N = 3 dimensionality. What's missing from this picture is what you're famous for; i.e., those rotations and translations are time dependent, and if there is nothing "left over," so to speak, through any transformation of points in 3-space, then time as least action has disappeared from your domain and quantum configuration space is static, as you hold. Nevertheless, the dynamics of mass points (Mach's principle) necessitates the inverse of Einstein's universe which is finite in time and unbounded in space -- i.e., to one which is finite in space and unbounded in time. Unbounded in time in this context gets you T = 1, and your static quantum universe holds.
A superior essay. Thank you.
Tom