I put a preliminary version of the probability of the universe up on Wikipedia
http://en.wikipedia.org/wiki/Probability_of_the_universe
And some miscreants are hoping to take it down! It is up for vote- please vote in favor of keeping it on Wikipedia!
You can vote for keeping it here:
http://en.wikipedia.org/wiki/Wikipedia:Articles_for_deletion/Probability_of_the_universe
(Hit edit, then type in keep)
I will respond to the only coherent response:
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Delete. In more detail: it is false that statistical mechanics can only be applied to deterministic systems: it is routinely applied to stochastic systems, for example Brownian motion, Markov processes, Wiener processes, money-market fluctuations, etc.
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The theory specifically encompasses this. Of course statistical mechanics takes into account quantum mechanics. The deterministic example is shown as an example. The critical point is that statistical mechanics considers the probabilities of ensembles of states, not a particular state.
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In the form of quantum statistical mechanics, it is also routinely applied to quantum mechanical probabilities. The article also claims that statistical mechanics takes no interest in the probability of individual microstates. This is also false: pretty much every statistical mechancal calculation is an expectation value, calculated by considering the probabilities pi of each microstate.
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The article does not claim this. The reader did not grasp the main point- that the probability of a particular microstate is different than the probability the system is in a set of microstates.