Abstract
The primordial confrontation underlying the existence of our universe can be conceived as the battle between entropy and complexity. The law of ever-increasing entropy (Boltzmann H-theorem) evokes an irreversible, one-directional evolution (or rather involution) going uniformly and monotonically from birth to death. Since the 19th century, this concept is one of the cornerstones and in the same time puzzles of statistical mechanics. On the other hand, there is the empirical experience where one witnesses the emergence, growth and diversification of new self-organized objects with ever-increasing complexity. When modeling them in terms of simple discrete elements one finds that the emergence of collective complex adaptive objects is a rather generic phenomenon governed by a new type of laws. These 'emergence' laws, not connected directly with the fundamental laws of the physical reality, nor acting 'in addition' to them but acting through them were called by Phil Anderson 'More is Different', 'das Maass' by Hegel etc. Even though the 'emergence laws' act through the intermediary of the fundamental laws that govern the individual elementary agents, it turns out that different systems apparently governed by very different fundamental laws: gravity, chemistry, biology, economics, social psychology, end up often with similar emergence laws and outcomes. In particular the emergence of adaptive collective objects endows the system with a granular structure which in turn causes specific macroscopic cycles of intermittent fluctuations.
Highlights
The Origin of Universe Space-Time InhomogeneityThe heat death concept was formulated by Rudolf Clausius in 1865 [1]
The primordial confrontation underlying the existence of our Universe can be conceived as the battle between entropy and complexity
He stated that according to the second law of thermodynamics, any physical closed system tends toward the most probable equilibrium state: the state of maximum entropy
Summary
The heat death concept was formulated by Rudolf Clausius in 1865 [1]. He stated that according to the second law of thermodynamics, any physical closed system tends toward the most probable equilibrium state: the state of maximum entropy. The microscopic random events will develop towards macroscopically relevant effects: vast regions of relatively empty space punctuated by very singular locations with enormously large density: galaxies, black holes, etc. This scenario is very typical for the other applications in this paper: a quantity whose growth rate is proportional to itself is bound to undergo a very singular spatio-temporal localized dynamics. The scenario resulting from Zeldovich’s approximation is only the first in a series of phenomena that give rise to structure, dynamics and life instead of a uniform state converging monotonically towards a stationary heat death end
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