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>I don't think you even need to resort to quantum mechanics. The second
>law of thermodynamics ought to take care of it nicely.

QM and 2T are indistinguishable. Brilloun's coup de grace of Maxwell's Demon in 1951 relied on QM. In other words, 2T is preserved only by QM. If you think about it in terms of information, it's actually rather obvious.