Binary and ternary structures of the evolutions in the universe (2×3×2×· · · -world) IV. The entropy description of evolution

  • Maria Ławrynowicz Faculty of Biology and Environmental Protection, University of Łódź, Poland
  • Małgorzata Nowak-Kępczyk Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin, Poland
  • Osamu Suzuki Department of Computer and System Analysis, College of Humanities and Sciences, Nihon University
Keywords: entropy, random walk, the evolution of the universe, non-commutative Galois theory

Abstract

This is the fourth part of the papers which is written under the same title [30, 31, 16]. In the first and second parts, we have seen that binary and ternary structures can describe evolutions of systems, for example, quarks, atoms, galaxies, RNA, DNA and languages. In the third paper, we have given the evolution of languages and shown that it has an intimate connection to that in physics. In this part we shall develop a ”general evolution theory” for the systems with binary and ternary structures at first. Then we will show how evolutionary systems create so called complexity systems as the border of the evolutionary system. We consider the evolution based on the following principle:

The principle of evolution

(1) Every system in this universe must obey the law of increase of entropy (Boltzmann’s principle) ([35])

(2) Evolutionary systems perform against the Boltzmann principle (Schrödinger’s principle or Bergson’s philosophy) ([3])

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Published
2021-08-12
Section
Articles