Strange. Well there's this: http://dialectics.org/dialectics/Applications.html, http://dialectics.org/dialectics/Primer.html, and http://dialectics.org/dialectics/Briefs.html, which all appear to explain their "psychohistorical dialectics". By apple page, you mean apple.com?
sorry I dropped the ball on this but I have a hard time thinking there is anything to Hegel or any kind of "scientific" history Marxism and the singularity included.
here is one for you history like evolution is a distributed solver for a min-max problem on system of non-linear differential equations with 100 billion dimensions <-not hyperbole but prolly an underestimation. this is the punchline like in evolution these solvers are really shit at solving min-max and constantly get stuck in local mins and maxs. even more so in history.