Dear Colin,
As I promised in my Essay page I have read your beautiful and peculiar Essay. Here are my comments/questions:
1) It is an almost general conviction that the universe will ultimately expand into a cold death. In fact, observations shows that the value of the density parameter is extremely near 1 and this, in turn, implies a flat universe with cooling to approach absolute zero temperature. You tell you do not agree with this view. What is your alternative?
2) Sadly, I agree that that economic disparity has already become problematic for society.
3) I like your introduction of "economic entropy" as both a measure of fairness and of economic potential and of "hottest and coldest economies". It is indeed a enlighten parallelism.
4) It is again enlighten that the solution with maximum likelihood expresses a socialist ideal while entropy is a measure of unfairness in communism. On the other hand, I prefer to use "social democratic ideal" rather than "socialist ideal"
5) I would like to be optimist. You put a possible time scale for societal collapse in perspective of 350 years. But I stress that in last 350 years we had both the Newtonian and Einsteinian revolutions! Maybe that within a lapse of 350 years we could be further scientific revolutions which will save our society.
In any case, your Essay enjoyed me a lot. Thus, I am going to give you an high score.
Best luck in the contest.
Cheers, Ch.