In the recent article "Why Everything in the Universe Turns More Complex" in Quantamagazine,
(Link:
found on the FB-page "Philosophy Matters": https://www.facebook.com/PhilosophyMttrs )
Philip Ball mentions two times that the suggested answer to the question is compatible with / does not contradict the second law of thermodynamics.
Considering that according to C.F.v. Weizsaecker, the second law of thermodynamics actually drives complexity -
see "Aufbau der Physik" or "The Structure of Physics", English edition by Thomas Goernitz, Holger Lyre, Springer Science & Business Media, 2007, ISBN 1402052359, 9781402052354:
https://books.google.co.th/books/about/The_Structure_of_Physics.html?id=DeexONN0zDgC&source=kp_book_description&redir_esc=y
- it should be possible to derive the answer given in that article from the second law of thermodynamics.