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The Second Laws Are Not, Er, Irreversible
There could be a way of reformulating a second law in a way that doesn't rely on these approximation schemes. And er, it would be about sudden transformations being possible in one direction and not in the reverse direction. By this, i mean not that a given dynamical trajector is allowed in one direction, not in the other. Otherwise this would just say that we are thinking the dynamical laws are irreversible - which isn't what we expect.