Abstract
This article focuses on several factors of complification, which worked during the evolution of our Universe. During the early stages of such evolution up to the Recombination Era, it was laws of quantum mechanics; during the Dark Ages it was gravitation; during the chemical evolution-diversification; and during the biological and human evolution—a process of distinctifying. The main event in the evolution of the Universe was the emergence of new levels of hierarchy, which together constitute the process of hierarchogenesis. This process contains 14 such events so far, and its dynamics is presented graphically by a very regular and smooth curve. The function that the curve presents is odd, i.e., symmetric about its central part, due to the similarity of patterns of the deceleration during the cosmic/chemical evolution (1st half of the general evolution) and the acceleration during the biological/human evolution (its 2nd half). The main driver of the hierarchogenesis as described by this odd function is counteraction and counterbalance of attraction and repulsion that take various forms at the different hierarchical levels. Direction and pace of the irreversible and inevitable increase of the Universe complexity in accordance with the general law of complification result from a consistent influence of all these factors.
Highlights
In my previous article, published in Entropy in 2015 with Prof
Alexander Levich [1] who untimely passed away and to whom I dedicate this article, we show that entropy, Shannon information, and algorithmic or Kolmogorov complexity are very proximate notions connected by a direct relationship with each other
This law is a natural generalization of the 2nd law of thermodynamics that can be, strictly speaking, applied to thermodynamic systems only
Summary
In my previous article, published in Entropy in 2015 with Prof. Alexander Levich [1] who untimely passed away and to whom I dedicate this article, we show that entropy, Shannon information, and algorithmic or Kolmogorov complexity are very proximate notions connected by a direct relationship with each other. Point particles particles of of the the ideal ideal gas gas in in spatial spatial projection projection distributed distributed randomly randomly and and evenly evenly on on Figure average Directions of their velocity vectors are completely random while magnitudes of the vectors average. = the length of the edge the box (Figure where, An is, image ofaverage in piece a cubic spatial box with boundaries andof not far from equilibrium this projection, aoffuzzy tube(x)(or more exactly, a hollow cylinder), 3) This projection an aadequate approximation of the 6D image, because the sphere in the is, in thisprovides projection, fuzzy piece tube (or more hollow cylinder), radiusequilibrium (r) = the average velocity of particles andofheight (x) = theexactly, lengthaof the edge of thewhere, box (Figure 3). Average velocity of to atemperature h—length of the space cube edge)
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