[complex_pi]

In short: the authors make a good summary of these ideas:

- Entropy in thermodynamic equilibrium is well understood. The early theory (before statistical mechanics was developed) fits well with our modern understanding.

- The analogies made about entropy are not always good and indeed, if you try to match the physics with "entropy is disorder" it does not always work.

- In non-equilibrium situations it is, as the author points out, more complex.

Regarding the last item, even Stephen Hawking postulated some strange ideas about the universe having to rewind past some point in time, so that the big crush would be the mirror of the big bang.