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Entropy 2015, 17(7), 4863-4890; doi:10.3390/e17074863

Entropy, Information and Complexity or Which Aims the Arrow of Time?

1
CALIBRE, 6354 Walker Lane, Alexandria, VA 22310, USA
2
Department of Biophysics, Biology Faculty, Moscow Lomonosov University, Leninskie gory, 1-12, 119991 Moscow, Russia
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 16 May 2015 / Revised: 22 June 2015 / Accepted: 29 June 2015 / Published: 10 July 2015
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Abstract

In this article, we analyze the interrelationships among such notions as entropy, information, complexity, order and chaos and show using the theory of categories how to generalize the second law of thermodynamics as a law of increasing generalized entropy or a general law of complification. This law could be applied to any system with morphisms, including all of our universe and its subsystems. We discuss how such a general law and other laws of nature drive the evolution of the universe, including physicochemical and biological evolutions. In addition, we determine eliminating selection in physicochemical evolution as an extremely simplified prototype of natural selection. Laws of nature do not allow complexity and entropy to reach maximal values by generating structures. One could consider them as a kind of “breeder” of such selection. View Full-Text
Keywords: complexity; category theory; entropy; information; evolution complexity; category theory; entropy; information; evolution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Mikhailovsky, G.E.; Levich, A.P. Entropy, Information and Complexity or Which Aims the Arrow of Time? Entropy 2015, 17, 4863-4890.

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