TOWARDS SUSTAINABLE FUTURE TOWARDS SUSTAINABLE FUTURE BY TRANSITION - PowerPoint PPT Presentation

TOWARDS SUSTAINABLE FUTURE TOWARDS SUSTAINABLE FUTURE BY TRANSITION TO THE NEXT LEVEL CIVILIZATION BY TRANSITION TO THE NEXT LEVEL CIVILIZATION Company how many how many COUNTDOWN’S ON LOGO moments moments left ? left ? Andrei P. KIRILYUK (Kiev, Ukraine) http://myprofile.cos.com/mammoth Symposium “The Future of Life and the Future of Our Civilisation” Frankfurt, 2-6 May 2005, http://archive.future25.org/Symposium05

Countdown agenda 1. Universal science of complexity 1. Universal science of complexity 1. Universal science of complexity Unreduced solution to any solution to any real real interaction problem interaction problem Unreduced 2. Life as unfolding interaction complexity 2. Life as unfolding interaction complexity 2. Life as unfolding interaction complexity System evolution as step- -wise complexity development wise complexity development System evolution as step 3. Transition to superior level of life now now 3. Transition to superior level of life 3. Transition to superior level of life now We are We are at the point of inevitable at the point of inevitable complexity revolution complexity revolution 4. Particular transition aspects 4. Particular transition aspects 4. Particular transition aspects New knowledge, social structure, production, settlement New knowledge, social structure, production, settlement http://cogprints.org/4113/ http://cogprints.org/4113/

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

Unreduced dynamic complexity Life/planet dynamics and evolution = unreduced unreduced interaction process interaction process Life/planet dynamics and evolution = Unreduced interaction analysis: permanent chaotic, fractally Unreduced interaction analysis: permanent chaotic, fractally → universal dynamic complexity structured realisation change → structured realisation change universal dynamic complexity >> usual “ >> usual “science of complexity science of complexity” ” (1 realisation, 0 complexity, no complexity definition) (1 realisation, 0 complexity, no complexity definition) Classification of all dynamic regimes (more regular or chaotic) (more regular or chaotic) Classification of all dynamic regimes and transitions between them → → what can ever happen/emerge and transitions between them what can ever happen/emerge Intrinsic chaos is inevitable Intrinsic chaos is inevitable in any real interaction (multivaluedness): in any real interaction (multivaluedness): unreduced dynamic complexity of life, brain, civilisation, etc. c. unreduced dynamic complexity of life, brain, civilisation, et FRACTAL ⇓ ⇓ FRACTAL FRACTAL FRACTAL Exponentially high efficiency → → “ Exponentially high efficiency “magic magic” ” properties of all properties of all “ “living living” ” systems systems Universal evolution/dynamics law: universal symmetry of complexity symmetry of complexity, , Universal evolution/dynamics law: universal total complexity conservation complexity conservation by its internal form by its internal form transformation transformation total dynamic information → → dynamic entropy dynamic entropy dynamic information Applications: Applications : http://arxiv.org/find/quant http://arxiv.org/find/quant- -ph,gr ph,gr- -qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1 qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1

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

Unreduced Interaction Dynamics Unreduced Interaction Dynamics Arbitrary many-body interaction process: ⎧ ⎫ ⎡ ⎤ N N ( ) ( ) ( ) ( ) ∑ ∑ ⎪ ⎪ ( ) ⎢ ⎥ + = = h q V q q , Ψ Q E Ψ Q Q q q , ,..., q , ⎨ ⎬ k k kl k l N ⎢ ⎥ 1 2 ⎪ ⎪ = > ⎢ ⎥ k 0 l k ⎣ ⎦ ⎩ ⎭ or ⎧ ⎫ N N ( ) ( ) ( ) ( ) ( ) ( ) ∑ ∑ ⎡ ⎤ ⎪ ⎪ ξ + + ξ + ξ = ξ ξ ≡ h h q V , q V q q , Ψ , Q E Ψ , Q q , ⎨ ⎬ ⎢ ⎥ 0 k k 0 k k kl k l 0 ⎣ ⎦ ⎪ ⎪ = > k 1 l k ⎩ ⎭ The unreduced (nonperturbative) general solution is always probabilistic (phenomenon of dynamic multivaluedness = intrinsic chaoticity ): N = ∑ ℜ ⊕ ( ) ( ) ρ ξ ρ ξ , Q , Q r = r 1 Dynamically determined probability , ∑ N α α r = = 1 r r N ℜ r

Unreduced Interaction Dynamics Unreduced Interaction Dynamics Arbitrary interaction process in terms of (free) component eigenvalues: ∑ ( ) ( ) ( ) ( ) ( ) ξ ψ ξ + ξ ψ ξ = η ψ ξ h V ′ ′ 0 n nn n n n ′ n where the total system state-function is obtained as ∑ ∑ ( ) ( ) ( ) ( ) ( ) ( ) ( ) ξ = ψ ϕ ϕ ϕ ≡ ψ ξ Ψ , Q q q q ... q Φ Q n 0 n n n n n 1 1 2 2 N N 1 2 N ( ) ≡ n n n , ,..., n n 1 2 N Usual perturbative approximations: ∑ ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) � � ⎡ ξ + ξ + ξ ⎤ ψ ξ = η ψ ξ ξ < ξ < ξ h V V , V V V ⎣ ⎦ ′ 0 nn n n n n 0 n nn ′ n

Unreduced general solution of the same problem: N ℜ ∑ ⊕ ( ) ( ) 2 ( ) ( ) ( ) 2 ρ ξ ≡ ξ = ρ ξ ρ ξ = ξ , Q Ψ , Q , Q , , Q Ψ , Q r r r ∑ = r 1 ∑ ⎡ ⎤ ∫ ( ) ( ) * ( ) ( ) ( ) Φ ψ ξ ξ ψ ′ ξ ′ ξ ψ ′ r ξ ′ 0 0 Q d V ⎢ ⎥ ′ ′ n ni ni n i 0 0 ⎢ ⎥ Ω ( ) ( ) ( ) r r ξ ξ = Φ ψ ξ + ⎢ ⎥ Ψ , Q c Q r i i 0 0 ⎢ ⎥ r η − η − ε 0 ′ i ni n 0 ⎢ ⎥ ⎢ ⎥ ⎣ ⎦ ′ n i , i ( ) ψ r ξ η r { , } where are eigen-solutions of the effective equation i i 0 ( ) ( ) ( ) ( ) ( ) ξ ψ ξ + ξ η ψ ξ = ηψ ξ h V ; eff 0 0 0 0 ∑ ∫ ( ) ( ) ( ) ( ) ( ) * ′ ′ ′ ′ ξ ψ ξ ξ ψ ξ ξ ψ r ξ 0 0 V d V ′ ′ n ni ni n i 0 0 0 ( ) ( ) ( ) ( ) Ω r r r ξ ξ η ψ ξ = ξ ψ ξ + V ; V eff i i i 0 00 0 η r − η − ε 0 ′ i ni n 0 ′ n i , r ∆ = λ = ∆ η , ∆ = ∆ , ∆ = ∆ Elementary length x time t x action V t A v i eff 0

Unreduced Interaction: Dynamic Multivaluedness (Chaos) Unreduced Interaction: Dynamic Multivaluedness (Chaos) Dynamically redundant interaction result: Second First incompatible object object system realisations N points N points ( modes ) ( modes ) First Second Third Interaction a 1 a3 a1 a2 b 2 b2 b3 b1 c 3 c3 c2 c1 (N N) combinations × of mode entanglement (a1,a2,a3,b1,b2,etc.) Permanent realisation change ⇓ in causally (dynamically) random order N-fold redundance

Universal Regimes of Complex Dynamics Universal Regimes of Complex Dynamics Two limiting regimes of complex dynamics: : Two limiting regimes of complex dynamics multivalued self-organisation/SOC and uniform (global) chaos Universal criterion of global (strong) chaos criterion of global (strong) chaos: : Universal ω ∆ η ξ κ ≡ = i � 1 ∆ η ω n Q or resonance resonance of the main system motions of the main system motions or κ � κ � 1 1 Criterion of quasi-regularity (self-organisation): (or ) κ ∼ κ ∼ 1 1 As network intensity grows one cannot avoid resonance (“jam”): κ � 1 and therefore essential dynamic randomness becomes inevitable Highly complicated interaction networks cannot be close to regularity arity Highly complicated interaction networks cannot be close to regul Ordinary, unitary dynamic models and approaches are inapplicable Let’s transform the unitary approach defect (“insolubility”) into the unreduced, complex-dynamic operation advantage : superior power and qualities