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Complex-Dynamic Cosmology and Emergent World Structure Causally complete understanding of truly autonomous universe structure formation and resulting world.

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Presentation on theme: "Complex-Dynamic Cosmology and Emergent World Structure Causally complete understanding of truly autonomous universe structure formation and resulting world."— Presentation transcript:

1 Complex-Dynamic Cosmology and Emergent World Structure Causally complete understanding of truly autonomous universe structure formation and resulting world properties without mysteries by the universal concept of complexity [1] A.P. Kirilyuk, Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge (Naukova Dumka, Kiev, 1997), in English, 550 p. Nontechnical review: physics/9806002. [2] A.P. Kirilyuk, Universal gravitation as a complex-dynamical process, renormalised Planckian units, and the spectrum of elementary particles, gr-qc/9906077. Also quant-ph/9902015, quant-ph/9902016. [3] A.P. Kirilyuk, Quantum Field Mechanics: Complex-Dynamical Completion of Fundamental Physics and Its Experimental Implications, physics/0401164. [4] A.P. Kirilyuk, Consistent Cosmology, Dynamic Relativity and Causal Quantum Mechanics as Unified Manifestations of the Symmetry of Complexity, physics/0601140. http://arXiv.org/abs/physics/0510240 A NDREI K IRILYUK, Institute of Metal Physics (Kiev) http://UnifiedComplexity.googlepages.com

2 Universal Science of Complexity Cosmos Nano ICT Bio Unreduced Interaction Dynamic Complexity http://arxiv.org/find/quant-ph,gr-qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1 Brain

3 Can real, higher-complexity system dynamics be understood at the level of rigour of Newtonian science? Can real, higher-complexity system dynamics be understood at the level of rigour of Newtonian science? The problem of unreduced many-body interaction (unsolved in Newtonian science) The problem of unreduced many-body interaction (unsolved in Newtonian science) The unique possibility for a new progress of fundamental science (otherwise ending) The unique possibility for a new progress of fundamental science (otherwise ending) Universal Science of Complexity Universal Science of Complexity Escaping Complexity http://books.google.com/books?ie=UTF-8&hl=en&vid=ISBN9660001169&id=V1cmKSRM3EIC

4 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) electron (lepton) quark (hadron) photon uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

5 COMPLEX-DYNAMICAL UNIVERSE http://arXiv.org/abs/physics/0601140 Physically real origin, structure and dynamics Physically real origin, structure and dynamics of elementary particles and fields (quantum beat) of elementary particles and fields (quantum beat) Causally complete solution of mysteries: Causally complete solution of mysteries: unreduced interaction complexity accounts for unreduced interaction complexity accounts for unified quantum and relativistic properties unified quantum and relativistic properties Unification: quantum, relativity, gravity, forces, Unification: quantum, relativity, gravity, forces, particles, properties, laws symmetry of complexity particles, properties, laws symmetry of complexity Intrinsic emergence: self-tuning, tangible universe Intrinsic emergence: self-tuning, tangible universe in development no dark matter/energy problems in development no dark matter/energy problems Practical implications: no abstract, fictitious entities Practical implications: no abstract, fictitious entities (Higgs, hidden dimensions, super-symmetry, etc.), (Higgs, hidden dimensions, super-symmetry, etc.), causal sufficiency of existing species & properties causal sufficiency of existing species & properties REAL WORLD EXPLAINED AS IT IS, NOT A MODEL

6 NEW KIND OF SCIENCE Causally Complete, Ultimate Extension of Usual Science http://arXiv.org/abs/physics/9806002 Postulates and mysteries of classical, Newtonian Postulates and mysteries of classical, Newtonian science are causally explained, derived and solved science are causally explained, derived and solved Unified, complex-dynamic origin of time, space, mass, Unified, complex-dynamic origin of time, space, mass, energy, forces, motion equations, etc. Postulates and mysteries of new physics are Postulates and mysteries of new physics are causally, realistically explained, derived and solved causally, realistically explained, derived and solved Unified, complex-dynamic origin of quanta and relativity Unified, complex-dynamic origin of quanta and relativity All results are extendible without limits to higher All results are extendible without limits to higher complexity levels: exact natural science, humanities complexity levels: exact natural science, humanities Theoretic biology, brain science, intelligence, consciousness, sociology, development, ethics, aesthetics, spirituality, etc. INTRINSICALLY UNIFIED, INTERDISCIPLINARY KNOWLEDGE

7 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) electron (lepton) quark (hadron) photon uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

8 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

9 Unreduced Interaction Dynamics Interaction in initially homogeneous, simplest protofield system: In terms of degrees of freedom of e/m protofield:, Usual perturbative (mean-field) approximations:

10 Unreduced general solution of the same problem: whereare solutions of the effective potential (EP) equation where are solutions of the effective potential (EP) equation

11 Arbitrary many-body interaction process: or The unreduced (nonperturbative) general solution is always probabilistic (phenomenon of dynamic multivaluedness = intrinsic chaoticity): Dynamically determined probability Multivalued Dynamics of Unreduced Interaction

12 Unreduced Interaction: Dynamic Multivaluedness (Chaos) First objec t Second object INTERACTION N points ( modes ) N points ( modes ) combinations combinations of mode entanglement of mode entanglement (N N) × (a1,a2,a3,b1,b2,etc.) (a1,a2,a3,b1,b2,etc.) N-fold redundance N-fold redundance a b c 1 2 3 a3a3 b3b3 c3c3 a2a2 b2b2 c2c2 a1a1 b1b1 c1c1 First SecondThird Dynamically redundant interaction result: incompatible system realisations Permanent realisation change in causally (dynamically) random order in causally (dynamically) random order

13 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

14 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) electron (lepton) quark (hadron) photon uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

15 Emerging, Physically Real Time and Space Dynamic multivaluedness Time is realisation change process It is driven by major system interaction Unceasing time flow Realisations emerge in causally random order Time flow irreversibility Space is permanently produced by emerging realisation structure Space element is realisation (eigenvalue) spacing: x = i Space element is realisation (eigenvalue) spacing: x = i Time period is realisation change duration: t = x/c Number of space dimensions = (global) realisation number = = number of interaction entities (= 3 for basic physical space) Multilevel hierarchy of space and time: dynamically quantised space and causally relativistic time at each level of (complex-dynamic) world structure internal, relativistic time flow for each system

16 Dynamically probabilistic fractal Unreduced general solution of a problem: are solutions of a truncated problem: are solutions of a truncated problem: treated by the same generalised EP method: treated by the same generalised EP method:

17 Dynamically probabilistic fractal Unreduced EP of the second level describes second-level splitting into incompatible realisations describes second-level splitting into incompatible realisations The unreduced general solution is the dynamically probabilistic fractal: The unreduced general solution is the dynamically probabilistic fractal: with dynamic entanglement (,Q) and dynamic probabilities: with dynamic entanglement (,Q) and dynamic probabilities:

18 Complex-Dynamic Interaction Network Properties Huge efficiency growth of dynamically chaotic (multivalued) networks: Chaotic network efficiency is determined by the number of all combinations of links where the number of links N is very large itself Unitary (regular) dynamic efficiency grows only as. The huge advantage in efficiency expresses intrinsic creativity/adaptability of the unreduced complex dynamics obtained at the expense of its chaoticity INTELLIGENCE, CONSCIOUSNESS, AUTONOMIC COMMUNICATION Particular aspects and applications Knowledge-based structure (1) Knowledge-based structure of intelligent communication networks advanced (2) Holistic, two-layer dynamics of advanced intelligent network (superbrain) Complex-dynamic meaning of true intelligence/consciousness Complex-dynamic meaning of true intelligence/consciousness (physics/0409140) (3) Intelligent network and its users automatically become more intelligent Intrinsically suited to complex-dynamic problem solution revolution of complexity Universal symmetry/development of complexity (4) Universal symmetry/development of complexity: unified guiding principle Transformation of dynamic information (interaction potential) into dynamic entropy Transformation of dynamic information (interaction potential) into dynamic entropy

19 Unreduced Interaction Complexity where is the (dynamically derived) system realisation number for example: for example: with the dynamically determined probability Universal dynamic complexity includes intrinsic chaoticity due to the dynamically probabilistic problem solution: UNIVERSAL DEFINITION OF DYNAMIC (INTERACTION) COMPLEXITY:

20 Unreduced Complexity Measures Two universal, emerging forms of complexity, space and time Generalised action is the simplest combination of space & time: is a universal integral complexity measure is a universal integral complexity measure Differential complexity measures: momentum momentum (spatial rate of realisation emergence) (spatial rate of realisation emergence) energy/mass, at rest: energy/mass, at rest: (temporal rate of realisation emergence) (temporal rate of realisation emergence) Dispersion relation: causal relativity Dispersion relation: causal relativity

21 Particle: Spatially Chaotic Quantum Beat Unreduced interaction gives spatially chaotic (multivalued), time-periodic nonlinear pulsation, quantum beat : at rest at rest where for one quantum jump/pulsation and is the quantum beat frequency ( for the electron) causal, irreversible time flow Universal origin of mass/inertia, spatial chaoticity of quantum beat : no need for additional, abstract entities (Higgs, zero-point field, etc.) Wave-particle duality, de Broglie wavelength :

22 Complexity = Quantum + Relativity Global field-particle motion : Increased complexity-energy Relativistic dispersion: chaotic wandering within field-particle Dynamically derived time relativity: Newtons laws, relativity, quantum effects = complex particle dynamics

23 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics (3D space, real time, 4 forces) http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) electron (lepton) quark (hadron) photon uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

24 Complexity = Quantised Gravity + GR Quantum beat dynamics: quantised gravity and general relativity is relative tension/density of gravitational medium/protofield is relative tension/density of gravitational medium/protofield is the classical gravitational field potential Causal time retardation in gravity field: Intrinsic equivalence between gravitational and inertial mass General-relativistic and quantum effects have the same, now causally specified origin: genuine dynamic complexity (multivaluedness) of the quantum beat process within each (massive) field-particle : unreduced interaction

25 Causal Complex-Dynamic Quantisation Causal, realistic meaning of the wavefunction as quasi-free protofield state during realisation change Quantum beat discreteness & complexity conservation: Causal Dirac quantisation from energy and momentum definition: Inserting into relativistic energy relation Inserting into relativistic energy relation one gets relativistic wave equations (Klein-Gordon, Dirac): Causally derived Schrödinger equation: complex-dynamic origin of energy-level discreteness

26 Generalised wavefunction (distribution function) Total number of unreduced EP eigenvalues: N max = N (N N q + 1) = (N ) 2 N q + N N = N regular realisations of N N q eigen-solutions each + incomplete set of N eigen-solutions = transitional realisation, generalised wavefunction, or distribution function transitional realisation, generalised wavefunction, or distribution function causal extension of usual quantum-mechanical wavefunction (x) transiently weak EP, disentangled components, system restructuring Causally generalised Born probability rule: r = (X r ) 2 Generalised Hamilton-Jacobi equation for action-complexity A (x) + causal quantisation rule, A = ̶ A 0 / + causal quantisation rule, A = ̶ A 0 / universal Schrödinger equation

27 Dynamically explained (emerging) universe structures and properties http://arXiv.org/abs/physics/0601140 Material, quantised space and irreversibly flowing time Material, quantised space and irreversibly flowing time (origin/number of space dimensions, time universality) (origin/number of space dimensions, time universality) Unified material nature of particles and their properties Unified material nature of particles and their properties (quantum, relativistic, mass, charge, spin) (quantum, relativistic, mass, charge, spin) Causal origin of unified particle interactions Causal origin of unified particle interactions (interaction number (4), properties, unification) (interaction number (4), properties, unification) Causal origin of constants and their universality Causal origin of constants and their universality (c,, G,, comprehensible Planck units) (c,, G,, comprehensible Planck units) Dynamic origin of higher-C properties: classicality, etc. Dynamic origin of higher-C properties: classicality, etc. (closed system classicality, true quantum chaos, (closed system classicality, true quantum chaos, quantum measurement/reduction, nuclei, many-body) quantum measurement/reduction, nuclei, many-body) REAL WORLD EXPLAINED AS IT IS, NOT A MYSTERY-BASED MODEL

28 Universality and Meaning of and Universality and Meaning of and Rewriting relation between, and e : is the number of electron (quantum beat) realisations is the number of electron (quantum beat) realisations is the classical electron radius is the classical electron radius is the size of virtual soliton (reduced state) is the size of virtual soliton (reduced state) Universal meaning of and : is the width of the binding EP well for a particle (e) is the width of the binding EP well for a particle (e) is the depth of the binding EP well for a particle (e) is the depth of the binding EP well for a particle (e) is the volume of EP well for any particle is the volume of EP well for any particle Plancks constant is the action-complexity of protofield attraction Confirmation: equal largest particle and nuclear masses (~ 10 2 GeV)

29 Dynamical G and Modified Planckian Units Usual gravitational constant (or G): indirect, long-range attraction through gravitational medium Unified gravity constant 0 in correct Planckian units: direct, local protofield attraction (the ultimate origin of gravity) Modified Planckian units: is the ordinary Planck length is the ordinary Planck length Results: causal mass spectrum without hidden dimensions, origin and Results: causal mass spectrum without hidden dimensions, origin and unification of interaction forces, gravity weakness, causal theory of unification of interaction forces, gravity weakness, causal theory of black holes etc., no inflation, no usual quantum gravity, etc. black holes etc., no inflation, no usual quantum gravity, etc.

30 Scheme of complex-dynamical universe structure: two interacting, omnipresent protofields give rise to all particles and fields Quantum Field Mechanics http://arXiv.org/abs/physics/0401164 Gravitational Protofield (Medium) (heavy and dissipative) electron (lepton) quark (hadron) photon uniform attraction Electromagnetic Protofield (light and elastic) Completion of the unreduced double solution of Louis de Broglie

31 Experimental Implications Known particle spectrum is basically complete : no need for artificial, abstract entities (Higgs, hidden dimensions, etc.) ??? LHC ???, fair/efficient competition of ideas? Internal complex dynamics of particles remains unexplored and promises new, practically important discoveries : new behaviour/understanding, rather than new entities Even direct observation is possible: resonance http://arXiv.org/abs/physics/0401164 Such direct observation of quantum-beat pulsation was successfully realised, but remains neglected !!! Ultra-relativistic electron channeling experiments: M.Gouanère et al., Annales Fond. L. de Broglie 30 (2005) 109-114 Another confirmation: American quark-gluon liquid results: J. Adams et al. (STAR collaboration), Nucl. Phys. A 757 (2005) 102

32 Dynamically Emerging, Self-Tuning Universe Dynamically emerging universe has intrinsically adaptable structure (contrary to standard, mechanistic cosmology) Dynamic origin of universal constants and intrinsic properties: no miraculous, anthropic coincidence, at any level ! Variable, adaptable universe structure emergence: Variable universe mass is split into adaptable fractal hierarchy Huge adaptability of truly complex (multivalued) dynamics: probabilistic interactive fractality (huge power of reasonable change), universal symmetry/conservation of complexity (change order/direction) Special cases: primordial chaos, aether, black holes, etc. Usual, dynamically single-valued cosmology is intrinsically anthropic: no dynamic dimensions for efficient/reasonable adaptation no dynamic dimensions for efficient/reasonable adaptation

33 Universe Energy and Real Time Arrow Universal symmetry of complexity: total dynamic complexity, C = I + S, is conserved by transformation of decreasing dynamic information, I, to increasing dynamic entropy, S Dynamic information I is universally measured by action-complexity A : A = I = - S < 0 A = I = - S < 0 Dynamically random realisation emergence/change time derivative of action-complexity (generalised Lagrangian) is negative: with Hamiltonian with Hamiltonian Rigorously derived time arrow oriented to growing complexity-entropy: Any real universe ( t > 0) has strictly positive energy balance, E > 0 Usual cosmology: E = 0, no real (flowing) time, no structure creation, no (tangible) mass/inertia, fictitious entities (dark mass, energy) Against the Tide (ed. Corredoira, Perelman) at PhilSci, Cogprints

34 Dark Mass: Single-Valued Model Deficiency Usual virial theorem for average potential and kinetic energy: This regular energy,, is a small part of real, chaotic one: is the average realisation number ( for usual models) is the average realisation number ( for usual models) Observed potential energy (visible mass) correlates with : Observed potential energy (visible mass) correlates with : But observations are interpreted within deficient, regular version: Discrepancy,, is obtained as the ratio of the last two equations: It is explained in terms of invisible, dark mass : It is explained in terms of invisible, dark mass :

35 Dark Energy and Big Bang Contradictions Vicious circle of usual (single-valued, mechanistic) cosmology: postulated nothingness of the universe content (E = 0) unstable static universe mechanical expansion problems with mass/energy content (conceptual instability) return to the starting mistake The problem does not even appear in complex-dynamic cosmology: positive universe energy (E > 0) explosion of structure creation no mechanical expansion, red shift explanation by small but inevitable dissipative effects (interaction with gravitational protofield) nonlinear red shift effects are natural for unreduced interaction no need in any dark entities and hidden dimensions, no conceptual instability positive universe energy (E > 0) explosion of structure creation no mechanical expansion, red shift explanation by small but inevitable dissipative effects (interaction with gravitational protofield) nonlinear red shift effects are natural for unreduced interaction no need in any dark entities and hidden dimensions, no conceptual instability Explicitly creative, complex (multivalued) dynamics solves all problems of artificially simplified, dynamically single-valued cosmology Unified solution to old and new problems of cosmology and particle physics (quantum, relativity, interactions, flatness, entropy...)

36 Universal Regimes of Complex Dynamics Two limiting regimes of complex dynamics: multivalued self-organisation/SOC and uniform (global) chaos Universal criterion of global (strong) chaos: resonance or resonance of the main system motions Criterion of quasi-regularity (self-organisation): (or ) Highly complicated interaction networks cannot be close to regularity Ordinary, unitary dynamic models and approaches are inapplicable defect Lets transform the unitary approach defect (system failure) advantage into the unreduced, complex-dynamic operation advantage : superior power and qualities cannot avoid resonance As network intensity grows one cannot avoid resonance (jam): essential dynamic randomness becomes inevitable and therefore essential dynamic randomness becomes inevitable

37 Complex-Dynamic Interaction Network Properties Huge efficiency growth of dynamically chaotic (multivalued) networks: Chaotic network efficiency is determined by the number of all combinations of links where the number of links N is very large itself Unitary (regular) dynamic efficiency grows only as. The huge advantage in efficiency expresses intrinsic creativity/adaptability of the unreduced complex dynamics obtained at the expense of its chaoticity INTELLIGENCE, CONSCIOUSNESS, AUTONOMIC COMMUNICATION Particular aspects and applications Knowledge-based structure (1) Knowledge-based structure of intelligent communication networks advanced (2) Holistic, two-layer dynamics of advanced intelligent network (superbrain) Complex-dynamic meaning of true intelligence/consciousness Complex-dynamic meaning of true intelligence/consciousness (physics/0409140) (3) Intelligent network and its users automatically become more intelligent Intrinsically suited to complex-dynamic problem solution revolution of complexity Universal symmetry/development of complexity (4) Universal symmetry/development of complexity: unified guiding principle Transformation of dynamic information (interaction potential) into dynamic entropy Transformation of dynamic information (interaction potential) into dynamic entropy

38 Evolution as complexity development System evolution as a result of the symmetry of complexity: System evolution as a result of the symmetry of complexity: qualitative, irreversible, dynamically discrete (quantized) qualitative, irreversible, dynamically discrete (quantized) change (event): transformation of dynamic information, I, change (event): transformation of dynamic information, I, into dynamic entropy, S, while the sum, total complexity, into dynamic entropy, S, while the sum, total complexity, C = I + S, remains unchanged: C = I + S, remains unchanged: C = 0, S = - I = - A > 0, C = 0, S = - I = - A > 0, where the extended, nonlinear action A = I is a unified measure of where the extended, nonlinear action A = I is a unified measure of complexity-information, A ~ V eff t time arrow ( E, L > 0 ) complexity-information, A ~ V eff t time arrow ( E, L > 0 ) Generalised Hamilton-Jacobi and Schrödinger equations: Generalised Hamilton-Jacobi and Schrödinger equations:, The universal meaning and purpose of any system evolution, progress, and existence: complexity development as a result of progress, and existence: complexity development as a result of the symmetry of complexity teleological, purposeful dynamics the symmetry of complexity teleological, purposeful dynamics UNIVERSAL MEANING AND CRITERION OF PROGRESS

39 Universal Symmetry of Complexity Always exact but irregularly structured symmetry No broken symmetry contradictions Symmetry of emergence: no fixed similarity Symmetry equivalent to system dynamics Truly universal symmetry: single law of Nature Unified conservation, degradation, variation principles Unified symmetry gives rise to unified structure Dynamically probabilistic fractal: unreduced solution http://arXiv.org/abs/physics/0404006

40 Progress by complexity steps dynamic entropy change Complexity n levels, n n n = 1 n n = 2 n n = 3 Fractal hierarchy of complexity t time, t - I, S Any structure creation is a growth of complexity-entropy DYNAMICALLY DISCRETE COMPLEXITY DEVELOPMENT

41 progress vs decline t time, t S dynamic entropy change, S, S/ t = H, E Hamiltonian (energy), S/ t = H, E S H period of progress decline moments of happiness moments of ennui For both progress and decline: H = S/ t > 0 Progressive development (creation): W = H/ t = 2 S/ t 2 > 0 Decline (decay, degradation): W = H/ t = 2 S/ t 2 < 0 Max progress results (happiness): H/ t = 2 S/ t 2 = 0, 2 H/ t 2 < 0 H/ t = 2 S/ t 2 = 0, 2 H/ t 2 < 0 Max decay results (ennui): H/ t = 2 S/ t 2 = 0, 2 H/ t 2 > 0 H/ t = 2 S/ t 2 = 0, 2 H/ t 2 > 0 Transition max (moment of truth): 2 H/ t 2 = 0, 3 H/ t 3 < 0 2 H/ t 2 = 0, 3 H/ t 3 < 0 Decline crisis (moment of sin): 2 H/ t 2 = 0, 3 H/ t 3 > 0 2 H/ t 2 = 0, 3 H/ t 3 > 0 death branch

42 Unified mathematics of complexity Non-uniqueness of any real problem solution: universal dynamic multivaluedness Explicit dynamic emergence, origin of events and time: A A for any real A Fractally structured dynamic entanglement: rigorous expression of material quality No exact solutions: meaning of randomness, nonintegrability, noncomputability, etc. Dynamic discreteness (causal quantisation), nonunitarity, dynamic origin of space DYNAMIC FRACTAL: UNREDUCED PROBLEM SOLUTION http://arXiv.org/abs/physics/0502133 UNIVERSAL SYMMETRY OF COMPLEXITY

43 Science Progress Diagram Mechanistic Mechanistic discreteness: discreteness: Numbers Numbers Classical figures Classical figures No interaction No interaction No change No change No quality No quality Mechanistic Mechanistic discreteness: discreteness: Numbers Numbers Classical figures Classical figures No interaction No interaction No change No change No quality No quality Unitary 1 Unitary 2 USciComUSciCom Unitary science: only one from many real system realisations Universal Science of Complexity (USciCom): all system realisations NEW MATHEMATICS OF COMPLEXITY Mechanistic Mechanistic continuity: continuity: Calculus Calculus Deformable shapes Deformable shapes Trivial interaction Trivial interaction Formal change Formal change No quality No quality Mechanistic Mechanistic continuity: continuity: Calculus Calculus Deformable shapes Deformable shapes Trivial interaction Trivial interaction Formal change Formal change No quality No quality Dynamic Dynamic discreteness: discreteness: Multivaluedness Multivaluedness Dynamical fractal Dynamical fractal Full interaction Full interaction Intrinsic change Intrinsic change Full quality Full quality Dynamic Dynamic discreteness: discreteness: Multivaluedness Multivaluedness Dynamical fractal Dynamical fractal Full interaction Full interaction Intrinsic change Intrinsic change Full quality Full quality http://arXiv.org/abs/physics/9806002

44 Unreduced complexity features Unreduced complexity >> usual imitations of complexity Fundamental difference of unreduced complexity (dynamic multivaluedness) from any dynamically single-valued (unitary) imitations of complexity Usual science = zero-dimensional projection of reality The whole usual, unitary science, including scholar science of complexity (chaos, self-organisation, nonlinear dynamics, etc.), is the simplest possible, zero-dimensional, point-like projection of real, multivalued world dynamics Unreduced complexity = natural completion of usual science Universal science of complexity (unreduced interaction problem solution) is the explicit, causally complete extension of the unitary science (from one system realisation to their complete set) Problem-solving power of the universal science of complexity Unreduced complexity (dynamically multivalued solution) solves stagnating problems of unitary science (quantum physics, particles, field theory, gravity, cosmology, solid state, biology, etc.) and completes it up to the humanities (consciousness, ethics, aesthetics, development, etc.) Complex system creation by unreduced complexity understanding Only the unreduced dynamic complexity is suitable for real-world applications involving new system design (like autonomic communication networks, intelligent software, AI, machine consciousness) UNIVERSAL CONCEPT AND SCIENCE OF COMPLEXITY http://arXiv.org/abs/physics/9806002

45 Todays knowledge development is not sustainable: quickly growing problems of intensity, content, efficiency, creativity (e.g. usual ecological problems) we need always more Illusion of regularity: regular, industrial operation mode inevitably leads to degradation at a high intensity stage (the case of usual developed industry) Illusion of power: power cannot increase quality by itself: increasing power capacities need another, qualitatively different dynamics complexity Only complex-dynamic creation can be sustainable: –system freedom to change its own structure (true autonomy) –efficient management of creation result (intelligence) –complex-dynamic (chaotic) control genuine security and progress –permanent, natural user-machine-network complexity coevolution Todays bifurcation of knowledge/civilisation development: Complexity Transition = Sustainability Transition = Creative Ecology Sustainable knowledge http://arXiv.org/abs/physics/0509234

46 Universal complexity in action Unified, causally complete fundamental physics (quantum mechanics, relativity, Unified, causally complete fundamental physics (quantum mechanics, relativity, particles, fields, forces, cosmology): no mysteries, transparent, realistic particles, fields, forces, cosmology): no mysteries, transparent, realistic knowledge and world view, the unique way to unlimited clean energy knowledge and world view, the unique way to unlimited clean energy Real, complex-dynamic nanodevices (quantum & classical), huge efficiency Real, complex-dynamic nanodevices (quantum & classical), huge efficiency Causally complete, reliable genomics (unreduced interaction dynamics) Causally complete, reliable genomics (unreduced interaction dynamics) Complex-dynamic biology: causal evolution theory, integral medicine Complex-dynamic biology: causal evolution theory, integral medicine Creative ecology/development: realistic, unreduced sustainability concept Creative ecology/development: realistic, unreduced sustainability concept Emerging genuine intelligence and consciousness (natural and artificial) Emerging genuine intelligence and consciousness (natural and artificial) Complex-dynamic, intelligent communication networks and software systems Complex-dynamic, intelligent communication networks and software systems Progress through permanent, constructive, omnipresent interaction: Progress through permanent, constructive, omnipresent interaction: creating a superior, individually structured quality of life creating a superior, individually structured quality of life Practical responsibility of scientists for creation of knowledge-based society Practical responsibility of scientists for creation of knowledge-based society and understanding-based (complete) knowledge: no deficient models and understanding-based (complete) knowledge: no deficient models Constructive use of diversity instead of destructive mechanistic unification Constructive use of diversity instead of destructive mechanistic unification UNREDUCED COMPLEXITY APPLICATIONS UNREDUCED SUSTAINABILITY FEATURES http://arxiv.org/find/quant-ph,gr-qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1

47 UNIFIED SCIENCE OF REAL COMPLEX SYSTEMS Principles of Complex System Operation & Design I. Complexity correspondence principle Efficient interaction of comparable complexity units II. Complex-dynamic control principle Complexity development as the purpose of control III. Unreduced (free) interaction principle Huge power of unreduced interaction complexity UNIFIED BY THE SYMMETRY OF COMPLEXITY I. Complexity correspondence principle Efficient interaction of comparable complexity units II. Complex-dynamic control principle Complexity development as the purpose of control III. Unreduced (free) interaction principle Huge power of unreduced interaction complexity UNIFIED BY THE SYMMETRY OF COMPLEXITY

48 Complexity Correspondence Principle Efficient Interaction of Comparable Complexity Units Higher complexity enslaves lower complexity Low complexity cannot control/simulate high complexity only unreduced complexity tools for real system design Similar complexities give rise to strong chaoticity Creative power of confined chaos (dynamic adaptability) Excessive complexity tool replaces useful operation Complex tools at context/software, not traffic/hardware level Higher complexity enslaves lower complexity Low complexity cannot control/simulate high complexity only unreduced complexity tools for real system design Similar complexities give rise to strong chaoticity Creative power of confined chaos (dynamic adaptability) Excessive complexity tool replaces useful operation Complex tools at context/software, not traffic/hardware level

49 Complex-Dynamic Control Principle Complexity Development as Unified Control Purpose Controlled dynamics cannot be totally regular Relying upon usual total control gives total system failure Multivalued, chaotic SOC regime is a general control result Optimal interaction complexity development Creative, rather than restrictive control is more reliable Universal guiding line and criterion of control Sustainable control: global stability by local creativity Controlled dynamics cannot be totally regular Relying upon usual total control gives total system failure Multivalued, chaotic SOC regime is a general control result Optimal interaction complexity development Creative, rather than restrictive control is more reliable Universal guiding line and criterion of control Sustainable control: global stability by local creativity

50 Unreduced (Free) Interaction Principle Huge Power of Unreduced Interaction Complexity General purpose of complexity-entropy growth Only general direction is fixed/controlled, not the details Intrinsic chaoticity is a normal, useful system state Huge power of unreduced complex dynamics Genuine parallelism of multivalued dynamical fractal Constructive alternation of strong chaos and SOC Symmetry of complexity: chaotic search and ordered creation General purpose of complexity-entropy growth Only general direction is fixed/controlled, not the details Intrinsic chaoticity is a normal, useful system state Huge power of unreduced complex dynamics Genuine parallelism of multivalued dynamical fractal Constructive alternation of strong chaos and SOC Symmetry of complexity: chaotic search and ordered creation

51 Causal universe origin and structure: fundamental physics without mysteries Complex-dynamic nanoscience and biology: reliable genomics and integral medicine Emerging intelligence and consciousness: complex-dynamic interaction genuine AI Complex-dynamic information systems: intelligent software and autonomic networks Creative ecology and sustainability transition: bifurcation of civilisation development Unreduced complexity applications

52 IRREDUCIBLY COMPLEX DYNAMICS OF REAL NANOBIOSYSTEMS Genuine quantum chaos, quantum measurement and classicality emergence Chaoticity criterion is satisfied on the smallest scales Chaoticity criterion is satisfied on the smallest scales Genuine quantum chaos by dynamic multivaluedness Genuine quantum chaos by dynamic multivaluedness usual quantum chaos paradox is due to single-valued reduction Complex dynamics of causal quantum measurement Complex dynamics of causal quantum measurement causal wave reduction and dynamically random eigenvalue choice Dynamic classicality emergence (multivalued SOC) Dynamic classicality emergence (multivalued SOC) Classicality as higher complexity level (elementary bound system) Causally complete, reliable nanoscience foundation Causally complete, reliable nanoscience foundation Complex (multivalued) dynamics at the border of quantum chaos, causal quantum measurement and emerging (chaotic) classicality fundamental nanoscience paradigm means essentially complex, chaotic dynamics http://arXiv.org/abs/quant-ph/9511034-6 http://arXiv.org/abs/quant-ph/9511037 http://arXiv.org/abs/quant-ph/9902016 http://arXiv.org/abs/physics/0412097 http://arXiv.org/abs/physics/0211071

53 Dynamically probabilistic fractal as unified living structure: unreduced solution to many-body interaction problem Dynamically probabilistic fractal as unified living structure: unreduced solution to many-body interaction problem Unreduced life properties: autonomous probabilistic adaptability and development, purposeful élan vital, huge power of living processes (life force) Unreduced life properties: autonomous probabilistic adaptability and development, purposeful élan vital, huge power of living processes (life force) Symmetry of complexity or complexity correspondence principle: the underlying symmetry/reason of evolution and individual system development Symmetry of complexity or complexity correspondence principle: the underlying symmetry/reason of evolution and individual system development Universal prescription: take into account the full, unreduced interaction power reliable genetics, integral medicine Universal prescription: take into account the full, unreduced interaction power reliable genetics, integral medicine Complex-Dynamic Biology Reliable Genetics and Integral Medicine http://arXiv.org/abs/physics/0502133

54 Number of genome interaction links N genome N brain 10 10 10 4 = 10 14 Number of interaction links per gene (N gene 3 10 4 ) n eff N genome /N gene 3 10 9 >> N gene N base N base 3 10 9 is the number of genome bases (1) Genome is mainly interaction place, not a ready programme (2) Every genome element interacts with any other one (everything interacts with everything) Huge interaction power the property of life P N ~ 10 10 15 >> 10 N genome Reliable Genetics: Unreduced Genome Interactions

55 Genome interaction neglect leads to catastrophe Genome interaction neglect leads to catastrophe huge power of real complexity is destroyed down to zero huge power of real complexity is destroyed down to zero Destruction results accumulate and appear later Destruction results accumulate and appear later delayed-action genetic bomb (G-bomb) Step-like complexity evolution mechanism Step-like complexity evolution mechanism necessary combination of robustness and flexibility Unreduced interaction complexity and its evolution involves the entire genome and epigenetic components Serious change in genetic theory and practice Integral medicine: organism as unreduced interaction complexity causal, reliable understanding of life biomed applications Reliable Genetics: G-bomb and Evolution Mechanism

56 Emerging Genuine Intelligence and Consciousness Superior Levels of Unreduced Interaction Complexity Intelligence as a high enough level of unreduced interaction complexity: Intelligence as a high enough level of unreduced interaction complexity: chaotic, interaction-driven adaptability and self-development Natural intelligence: electro-chemical interaction in a neural network Consciousness as a next higher level of unreduced complexity: Consciousness as a next higher level of unreduced complexity: complex-dynamic (multivalued) bound states (SOC) Natural consciousness: SOC bound structures in the cortex Parallel superpower: autonomous adaptability Parallel superpower: autonomous adaptability logical, binding, supervising; separated self; multi-level; control, imagination, anticipation (localised structures); emotions, desires, élan; adaptable growth Artificial Intelligence and Machine Consciousness: Artificial Intelligence and Machine Consciousness: modified but unreduced versions of natural properties Properly designed structure/shape of AI and MC http://arXiv.org/abs/physics/0409140

57 COMPLEXITY TRANSITION IN ICT SYSTEMS The New Era of Intelligent Information Systems (1) Transition to useful dynamic complexity/chaos Priority R&D task and inevitable way of development (2) Complexity levels of global communication system - Quasi-regular P2P network (modern internet, phone) - Complex-dynamic P2P network (liberated internet) - Context-based network: human complexity levels (3) Intelligent and conscious information systems Unified, fractal quantum beat (physics/0409140) Unlimited coevolution of system and user complexity (1) Transition to useful dynamic complexity/chaos Priority R&D task and inevitable way of development (2) Complexity levels of global communication system - Quasi-regular P2P network (modern internet, phone) - Complex-dynamic P2P network (liberated internet) - Context-based network: human complexity levels (3) Intelligent and conscious information systems Unified, fractal quantum beat (physics/0409140) Unlimited coevolution of system and user complexity http://arXiv.org/abs/physics/0603132

58 personal or global knowledge branch (user interface) personal or global knowledge branch (user interface) autonomous development due to complex-dynamic branch interaction Knowledge-Based Structure of Intelligent Communication Networks

59 branch interaction process (1) Available interaction space (1) Available interaction space (2) Self-amplifying (chaotic) interaction rule (2) Self-amplifying (chaotic) interaction rule (3) Based on the unreduced complexity and (3) Based on the unreduced complexity and complexity correspondence principle complexity correspondence principle Universal criterion of intelligent operation Universal criterion of intelligent operation Principles of complex network realisation Knowledge-Based Structure of Intelligent Communication Networks

60 Sustainability Transition The End of History, Science, Art, Religion, etc.: exhaustion The End of History, Science, Art, Religion, etc.: exhaustion Maximum ennui point is just behind us: beginning agitation Maximum ennui point is just behind us: beginning agitation Transition maximum is still (qualitatively) far ahead of us Transition maximum is still (qualitatively) far ahead of us http://arxiv.org/abs/physics/0509234 GREAT SUSTAINABILITY TRANSITION BEGINS TODAY OPPOSITION TO TRANSITION CHANGES: LOSSES Discreteness: Transition is a result of all system interactions Discreteness: Transition is a result of all system interactions One cannot overcome the (dynamic) entropy growth One cannot overcome the (dynamic) entropy growth Unsuccessful transition is replaced by a death branch Unsuccessful transition is replaced by a death branch UNDERSTANDING OF TRANSITION DETAILS: GAINS Universal science of complexity rigorous, reliable futurology Universal science of complexity rigorous, reliable futurology CREATIVE APOCALYPSE NOW

61 progress vs decline t time, t S dynamic entropy change, S, S/ t = H, E Hamiltonian (energy), S/ t = H, E S H period of progress decline moments of happinessmoments of ennui For both progress and decline: H = S/ t > 0 Progressive development (creation): W = H/ t = 2 S/ t 2 > 0 Decline (decay, degradation): W = H/ t = 2 S/ t 2 < 0 Max progress results (happiness): H/ t = 2 S/ t 2 = 0, 2 H/ t 2 < 0 H/ t = 2 S/ t 2 = 0, 2 H/ t 2 < 0 Max decay results (ennui): H/ t = 2 S/ t 2 = 0, 2 H/ t 2 > 0 H/ t = 2 S/ t 2 = 0, 2 H/ t 2 > 0 Transition max (moment of truth): 2 H/ t 2 = 0, 3 H/ t 3 < 0 2 H/ t 2 = 0, 3 H/ t 3 < 0 Decline crisis (moment of sin): 2 H/ t 2 = 0, 3 H/ t 3 > 0 2 H/ t 2 = 0, 3 H/ t 3 > 0 death branch

62 New kind of knowledge http://arxiv.org/abs/physics/9806002 BLIND (EMPIRICALLY BASED), BUT OMNIPOTENT R&D: REAL DANGER Todays empirical technology modifies the whole depth of complexity: Todays empirical technology modifies the whole depth of complexity: high energies, genomics, biochemistry, ecosystem, society, psyche high energies, genomics, biochemistry, ecosystem, society, psyche Without equally complete knowledge only destruction can result Without equally complete knowledge only destruction can result CAUSALLY COMPLETE UNDERSTANDING OF REALITY: NO MODELS Scholar science is an ultimately rough, dynamically single-valued Scholar science is an ultimately rough, dynamically single-valued model of the dynamically multivalued reality: anti-completeness, model of the dynamically multivalued reality: anti-completeness, including single-valued imitations of empirically defined complexity including single-valued imitations of empirically defined complexity Transition to the unreduced, complex dynamics is vitally important: Transition to the unreduced, complex dynamics is vitally important: One cannot fool Nature (contrary to funding bodies and taxpayers) One cannot fool Nature (contrary to funding bodies and taxpayers) ONLY UNREDUCED KNOWLEDGE FOR SUSTAINABILITY TRANSITION Universal science of complexity for the knowledge-based society Universal science of complexity for the knowledge-based society Only unreduced science can guide the transition to sustainable life Only unreduced science can guide the transition to sustainable life SCIENCE REVOLUTION: UNREDUCED COMPLEXITY

63 Complexity-increasing production http://hal.ccsd.cnrs.fr/ccsd-00004214 FROM DESTRUCTION TO CREATION BY COMPLEXITY BOOST From declining to progressive phase: transition to superior complexity From declining to progressive phase: transition to superior complexity Complexity-driven technologies: bio-inspired complexity growth Complexity-driven technologies: bio-inspired complexity growth Creative, not restrictive ecology concept real sustainability Creative, not restrictive ecology concept real sustainability UNIVERSAL CRITERION OF PROGRESS: H/ t = 2 S/ t 2 >> W death Self-accelerated complexity development: sustainability by creation Self-accelerated complexity development: sustainability by creation Against sustainability by restriction: entropy growth is invincible Against sustainability by restriction: entropy growth is invincible Unreduced science of complexity: unique basis for new production Unreduced science of complexity: unique basis for new production HUMAN ASPECTS OF NEW PRODUCTION: CREATIVE PERSONALITY From massive and reductive to individual and creative technology From massive and reductive to individual and creative technology From centralised and rigid to distributed and evolving structure From centralised and rigid to distributed and evolving structure Complexity-driven production involves essential personal progress Complexity-driven production involves essential personal progress GROWTH WITHOUT DESTRUCTION

64 Non-unitary social structure FROM UNITARY TO HARMONICAL SYSTEM: THE LAST BASTILLE Versions of Unitary System: totalitarian, democratic, meritocratic Versions of Unitary System: totalitarian, democratic, meritocratic Harmonical System: emerging social order (cf. market economy) Harmonical System: emerging social order (cf. market economy) Sustainability Transition: from Unitary to Harmonical complexity Sustainability Transition: from Unitary to Harmonical complexity HARMONICAL SYSTEM: UNREDUCED INTERACTION COMPLEXITY Autonomous evolution of interacting (small) management units Autonomous evolution of interacting (small) management units NGO or free-market structures within the Unitary System NGO or free-market structures within the Unitary System Superior democracy: real, inevitable extension of unitary freedom Superior democracy: real, inevitable extension of unitary freedom Harmonical System is the unique way of any further progress Harmonical System is the unique way of any further progress THE PRICE TO PAY FOR HAPPINESS: DISTRIBUTED REVOLUTION High-order phase transition: growing seeds of freedom network High-order phase transition: growing seeds of freedom network Complexity-based origin of Harmonical Future new science bliss Complexity-based origin of Harmonical Future new science bliss ORDER WITHOUT GOVERNMENT: POWER OF IDEAS http://arxiv.org/abs/physics/0403084 NEW SCIENCE STRUCTURE NEW SCIENCE STRUCTURE

65 labour middle class elite Replete Industry: Critical Instability UNITARY SYSTEM: DEATH BY SUCCESS gravitational attraction to material basis pre-industrial unitary society post-industrial unitary society socialposition industrial revolution spinning top dynamics STABLEUNSTABLE unlimited complexity growth sustainability transition AFTER SUSTAINABILITY TRANSITION GROWTH CAN ONLY INCREASE STABILITY: LIVING ARBORESCENCE DYNAMICS

66 New kind of settlement http://hal.ccsd.cnrs.fr/ccsd-00004214 BIO-INSPIRED AND BIO-DOMINATED, DISTRIBUTED INFRASTRUCTURE Unitary infrastructure: centralised (urban), rigid, reductive, decadent Unitary infrastructure: centralised (urban), rigid, reductive, decadent Harmonical infrastructure: man-made forest, omnipresent, evolving Harmonical infrastructure: man-made forest, omnipresent, evolving Creation, not protection of natural (= complex) environment Creation, not protection of natural (= complex) environment SETTLEMENTS SUBMERGED INTO CREATED NATURAL COMPLEXITY Harmonical interaction with nature growth of natural complexity Harmonical interaction with nature growth of natural complexity Complex-dynamic environment influence on man: complexity boost Complex-dynamic environment influence on man: complexity boost The unreduced nature complexity should become again our home The unreduced nature complexity should become again our home NATURAL COMPLEXITY EVOLUTION: SUPERNATURE, NOOSPHERE From biosphere to Supernature: greater than natural complexity From biosphere to Supernature: greater than natural complexity Noosphere: entangled intelligence and Supernature development Noosphere: entangled intelligence and Supernature development Harmonical evolution: nondestructive, unlimited growth & diversity Harmonical evolution: nondestructive, unlimited growth & diversity MAN-MADE NATURE

67 Arts, Humanities, Theology Good as (optimally) growing complexity Beauty as relative (attained) complexity Spirit as unreduced higher complexity Good as (optimally) growing complexity Beauty as relative (attained) complexity Spirit as unreduced higher complexity Complex-Dynamic Algebra of Harmony RIGOROUS UNDERSTANDING OF http://arXiv.org/abs/physics/9806002 http://halshs.ccsd.cnrs.fr/halshs-00010489

68 Only unreduced complexity has unlimited development perspectives: social aspects Understanding of unreduced complexity is essential also for its efficient imitations The unique, practically important case of artificial dynamic complexity: important connection to natural complexity studies The unique possibility for the new progress of fundamental science (otherwise ending) Unreduced complexity perspectives

69 Complex-Dynamical Universe http://arxiv.org/find/quant-ph,gr-qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1 Cosmos Nano ICT Bio Dynamic Complexity Brain From Elementary Particles to Consciousness

70 Can real, higher-complexity system dynamics be understood at the level of rigour of Newtonian science? Yes Can real, higher-complexity system dynamics be understood at the level of rigour of Newtonian science? Yes The problem of unreduced many-body interaction (unsolved in Newtonian science) The problem of unreduced many-body interaction (unsolved in Newtonian science) The unique possibility for a new progress of fundamental science (otherwise ending) The unique possibility for a new progress of fundamental science (otherwise ending) Universal Science of Complexity Universal Science of Complexity Rediscovered Complexity Descartes – Newton - Descartes

71 References [1] A.P. Kirilyuk, Complex Dynamics of Autonomous Communication Networks and the Intelligent Communication Paradigm, Report at the International Workshop on Autonomic Communication (Berlin, 18-19 Oct 2004), E-print physics/0412058 at http://arXiv.org.http://arXiv.org [2] A.P. Kirilyuk, Emerging Consciousness as a Result of Complex-Dynamical Interaction Process, Report presented at the EXYSTENCE workshop Machine Consciousness: Complexity Aspects (Turin, 29 Sep - 1 Oct 2003), E-print physics/0409140 at http://arXiv.org.http://arXiv.org [3] A.P. Kirilyuk, Dynamically Multivalued, Not Unitary or Stochastic, Operation of Real Quantum, Classical and Hybrid Micro-Machines, E-print physics/0211071 at http://arXiv.org.http://arXiv.org [4] A.P. Kirilyuk, Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge (Kyiv: Naukova Dumka: 1997). For a non-technical review see also: E-print physics/9806002. [5] A.P. Kirilyuk, Dynamically Multivalued Self-Organisation and Probabilistic Structure Formation Processes, Solid State Phenomena 97-98 (2004) 21-26. E-print physics/0405063. [6] A.P. Kirilyuk, Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics, Proceedings of Institute of Mathematics of NAS of Ukraine 50 (2004) 821- 828. E-print physics/0404006 at http://arXiv.org.http://arXiv.org [7] A.P. Kirilyuk, Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences, In: G.A. Losa, D. Merlini, T.F. Nonnenmacher, and E.R. Weibel (Eds.), Fractals in Biology and Medicine, Vol. IV (Basel: Birkhäuser: 2005) 233–244. E-print physics/0502133. [8] A.P. Kirilyuk, Complex Dynamics of Real Nanosystems: Fundamental Paradigm for Nanoscience and Nanotechnology, Nanosystems, Nanomaterials, Nanotechnologies 2 (2004) 1085–1090. E-print physics/0412097 at http://arXiv.org.http://arXiv.org


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