Corpus ID: 118899351

Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics

  title={Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics},
  author={A. Kirilyuk},
The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, “dynamically multivalued” general solution that leads to dynamically derived, universal definitions of randomness, probability, chaoticity, complexity, fractality, self-organisation, and other properties, extending their axiomatic introduction in the conventional, dynamically single-valued theory. Any real system emergence, structure, and… Expand
Universal Science of Complexity: Consistent Understanding of Ecological, Living and Intelligent System Dynamics
Applications of universal concept of dynamic complexity are outlined emphasising cases of "truly complex" systems from higher complexity levels and show that the urgently needed progress in social and intellectual structure of civilisation inevitably involves qualitative transition to unreduced complexity understanding (the authors call it "revolution of complexity"). Expand
Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences *
Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system structure, obtained as the unreduced, causally probabilistic general solution to an arbitraryExpand
Complex Dynamics of Autonomous Communication Networks and the Intelligent Communication Paradigm
Dynamics of arbitrary communication system is analysed as unreduced interaction process. The applied generalised, universally nonperturbative method of effective potential reveals the phenomenon ofExpand
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, includingExpand
Cosmological Problem Solution by Complex-Dynamical Interaction Analysis
Universe structure emerges in the unreduced, complex-dynamical interaction process with the simplest initial configuration (two attracting homogeneous fields). The unreduced interaction analysisExpand
New Mathematics of Complexity and Its Biomedical Applications
We show that the unreduced, mathematically rigorous solution of the many-body problem with arbitrary interaction, avoiding any perturbative approximations and “exact” models, reveals qualitativelyExpand
Dynamic Origin of Evolution and Social Transformation
We analyse the unreduced, nonperturbative dynamics of an arbitrary many-body interaction process with the help of the generalised effective potential method and reveal the well-specified universalExpand
Complex-dynamic cosmology and emergent world structure
Universe structure emerges in the unreduced, complex-dynamic interaction process with the simplest initial configuration (two attracting homogeneous fields, quant-ph/9902015). The unreducedExpand
Quantum Field Mechanics: Complex-Dynamical Completion of Fundamental Physics and Its Experimental Implications
This report provides a brief review of recently developed extended framework for fundamental physics, designated as Quantum Field Mechanics and including causally complete and intrinsically unifiedExpand
Theory of Everything, Ultimate Reality and the End of Humanity: Extended Sustainability by the Universal Science of Complexity
The exciting, but rigorously substantiated and objectively inevitable prospects of further civilisation complexity development towards its superior levels of genuine sustainability and global Noosphere are outlined, with practically important conclusions for today's critical problem solution. Expand


The Universal Dynamic Complexity as Extended Dynamic Fractality: Causally Complete Understanding of Living Systems Emergence and Operation
The unreduced description of any real system with interaction reveals natural emergence of multiple, incompatible system versions, or realisations, formed by dynamic entanglement of the interactingExpand
Universal concept of complexity by the dynamic redundance paradigm: Causal randomness, complete wave mechanics, and the ultimate unification of knowledge
The fundamental impasses and ruptures in various domains of the canonical, unitary science, or the 'end of science', become the more and more evident. The natural unity of being is recovered within aExpand
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
Preface. Preface to the English Edition. Introduction. 1. Poincare Invariant Nonlinear Scalar Equations. 2. Poincare-Invariant Systems of Nonlinear PDEs. 3. Euclid and Galilei Groups and NonlinearExpand
Theory of charged particle scattering in crystals by the generalized optical potential method
Abstract The continuum potential approximation for description of charged particle scattering in crystals is generalized to include the influence of longitudinal lattice discreteness without theExpand
Dynamical Diffraction Theory by Optical Potential Methods
Publisher Summary In the past twenty years, there has been a renewed and steadily increasing interest in dynamical diffraction of X-rays and electrons, which is due partly to the availability ofExpand
Quantum chaos and fundamental multivaluedness of dynamical functions
On generalise la methode du potentiel optique pour obtenir description nonperturbative et autocoherente du chaos quantique dans les systemes hamiltoniens. La methode contient une forme modifiee deExpand
Symmetries and differential equations
Mathematics: The Loss of Certainty
Symmetry in physics