UNREDUCED DYNAMIC UNREDUCED DYNAMIC COMPLEXITY COMPLEXITY Towards - - PowerPoint PPT Presentation
Andrei P. Kirilyuk Andrei P. Kirilyuk Institute of Metal Physics, Kiev, Ukraine Institute of Metal Physics, Kiev, Ukraine http://myprofile.cos.com/mammoth http://myprofile.cos.com/mammoth UNREDUCED DYNAMIC UNREDUCED DYNAMIC COMPLEXITY
UNREDUCED DYNAMIC UNREDUCED DYNAMIC COMPLEXITY COMPLEXITY Towards the Unified Science
Networks and Software
Andrei P. Kirilyuk Andrei P. Kirilyuk
Institute of Metal Physics, Kiev, Ukraine Institute of Metal Physics, Kiev, Ukraine http://myprofile.cos.com/mammoth http://myprofile.cos.com/mammoth
ICT COMPLEXITY AGENDA ICT COMPLEXITY AGENDA ICT COMPLEXITY AGENDA
complex-dynamic interaction process
complex-dynamic interaction process
Unreduced Unreduced, user , user-
Real Real world dynamics, from particles to consciousness world dynamics, from particles to consciousness Neither reduced Neither reduced “ “models models” ”, no ambiguous , no ambiguous “ “philosophy philosophy” ”
http://arXiv.org/abs/physics/0412058 http://arXiv.org/abs/physics/0412058
User User-
communication = unreduced unreduced interaction interaction Unreduced interaction analysis: permanent chaotic, fractally Unreduced interaction analysis: permanent chaotic, fractally structured realisation change structured realisation change →
→ universal dynamic complexity
universal dynamic complexity
exceeds usual exceeds usual “ “science of complexity science of complexity” ” (fractured, no complexity definition) (fractured, no complexity definition)
Classification of dynamic regimes Classification of dynamic regimes (more regular or chaotic) (more regular or chaotic) and transitions between them and transitions between them Intrinsic chaos is Intrinsic chaos is inevitable inevitable in intense communication: in intense communication: unreduced communication complexity unreduced communication complexity
FRACTAL FRACTAL ⇓
⇓
FRACTAL FRACTAL
Exponentially high efficiency Exponentially high efficiency instead of network failures instead of network failures Universal evolution law Universal evolution law (direction of development): (direction of development): what can happen and how to control it what can happen and how to control it
http://arXiv.org/abs/physics/0412058 http://arXiv.org/abs/physics/0412058, http://cogprints.org/3988 , http://cogprints.org/3988
Complex Dynamics of Knowledge Complex Dynamics of Knowledge-
Based Networks
and the Intelligent Communication Paradigm and the Intelligent Communication Paradigm
Universal Universal concept of dynamic complexity and its concept of dynamic complexity and its successful applications to various systems: successful applications to various systems:
http://arxiv.org/find/quant http://arxiv.org/find/quant-
ph,gr-
qc,physics/1/au:+ Kirilyuk/0/1/0/all/0/1
Unreduced communication dynamics is as complex Unreduced communication dynamics is as complex as transmitted information content ( as transmitted information content (“ “life semantics life semantics” ”) ): :
complexity correspondence principle complexity correspondence principle
⇓ ⇓
knowledge knowledge-
based networks, complexity growth , complexity growth
⇓ ⇓
Principle and method of Principle and method of practical practical design and use design and use
Natural inclusion of all Natural inclusion of all man man-
related aspects
true intelligence and consciousness, physics/0409140 true intelligence and consciousness, physics/0409140
FUNDAMENTAL, FUNDAMENTAL, RIGOROUSLY DERIVED RIGOROUSLY DERIVED MEANING MEANING AND AND PURPOSE PURPOSE OF AUTONOMIC COMMUNICATION AND RELATED INITIATIVES OF AUTONOMIC COMMUNICATION AND RELATED INITIATIVES
Complex Dynamics of Knowledge Complex Dynamics of Knowledge-
Based Networks
and the Intelligent Communication Paradigm and the Intelligent Communication Paradigm
http://arXiv.org/abs/physics/0412058 http://arXiv.org/abs/physics/0412058, http://cogprints.org/3988 , http://cogprints.org/3988
Universal Science of Complexity
Cosmos
Nano ICT Bio
Unreduced Interaction
Dynamic Complexity Dynamic Complexity
http://arxiv.org/find/quant http://arxiv.org/find/quant-
ph,gr-
qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1
Brain
Science Progress Diagram
Mechanistic discreteness: Numbers Classical figures No interaction No change No quality Mechanistic Mechanistic discreteness: discreteness: Numbers Numbers Classical figures Classical figures No interaction No interaction No chan No chang ge e No quality No quality
Unitary 1 Unitary 1 Unitary 1 Unitary 2 Unitary 2 Unitary 2 USciCom USciCom USciCom
Unitary science: Unitary science: only one
from many real system realisations Universal Science of Complexity (USciCom): Universal Science of Complexity (USciCom): all all system realisations system realisations NEW MATHEMATICS OF COMPLEXITY NEW MATHEMATICS OF COMPLEXITY Mechanistic continuity: Calculus Deformable shapes Trivial interaction Formal change No quality Mechanistic Mechanistic continuity: continuity: Calculus Calculus Deformable shapes Deformable shapes Trivial interaction Trivial interaction Formal chan Formal chang ge e No quality No quality Dynamic discreteness: Multivaluedness Dynamical fractal Full interaction Intrinsic change Full quality Dynamic Dynamic discreteness: discreteness: Multivaluedness Multivaluedness Dynamical fractal Dynamical fractal Full interaction Full interaction Intrinsic chan Intrinsic chang ge e Full quality Full quality http://arXiv.org/abs/physics/9806002 http://arXiv.org/abs/physics/9806002
Arbitrary many Arbitrary many-
body interaction process:
The unreduced (nonperturbative) general solution is always The unreduced (nonperturbative) general solution is always probabilistic probabilistic (phenomenon of (phenomenon of dynamic multivaluedness dynamic multivaluedness = = i intrinsic chaoticity ntrinsic chaoticity): ): Dynamically determined probability Dynamically determined probability
( ) ( ) ( ) ( )
( )
1 2,
, , ,...,
N
N N k k kl k l k l k
h q V q q Ψ Q EΨ Q Q q q q
⎧ ⎫ ⎡ ⎤ ⎪ ⎪ ⎢ ⎥ ⎨ ⎬ ⎢ ⎥ ⎪ ⎪ = > ⎢ ⎥ ⎣ ⎦ ⎩ ⎭
+ = =
∑ ∑
( ) ( ) ( ) ( ) ( ) ( )
, 1
, , , ,
N N k k k k kl k l k l k
h h q V q V q q Ψ Q EΨ Q q ξ ξ ξ ξ ξ
⎧ ⎫ ⎡ ⎤ ⎪ ⎪ ⎢ ⎥ + ⎨ ⎬ ⎢ ⎥ ⎪ ⎪ = > ⎢ ⎥ ⎣ ⎦ ⎩ ⎭
+ + = ≡
∑ ∑
( ) ( )
1, ,
r r
N
Q Q ρ ξ ρ ξ
ℜ=
⊕
=∑
1 r r r r
N N α α
= ℜ
= , ∑
Unreduced Interaction Dynamics Unreduced Interaction Dynamics
Unreduced Interaction Dynamics Unreduced Interaction Dynamics
Arbitrary interaction process in terms of (free) component eigen Arbitrary interaction process in terms of (free) component eigenvalues: values: where the total system state where the total system state-
function is obtained as Usual perturbative approximations: Usual perturbative approximations:
( ) ( ) ( ) ( ) ( )
n nn n n n n
h V ξ ψ ξ ξ ψ ξ η ψ ξ
′ ′ ′
+ =
∑
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
,
nn n n n n n nn nh V V V V V ξ ξ ξ ψ ξ η ψ ξ ξ ξ ξ
′ ′⎡ ⎤ + + = < < ⎣ ⎦
∑
) ( )
( )
( ) ( ) ( ) ( ) ( )
1 2 1 2 1 1 2 2, ,...,
, ...
N N N Nn n n n n n n n n n n
Ψ Q q q q q Φ Q ξ ψ ϕ ϕ ϕ ψ ξ
≡
= ≡
∑ ∑
Unreduced general solution Unreduced general solution of the same problem:
where where are eigen are eigen-
solutions of the effective effective equation equation
( ) ( ) ( ) ( ) ( )
2 2 1
, , , , , ,
r r r r
N
Q Ψ Q Q Q Ψ Q ρ ξ ξ ρ ξ ρ ξ ξ
ℜ =
⊕
≡ = =
∑
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
*,
,
r n ni ni n i r r r i i r i ni nn i
Q d V Ψ Q c Q i
ξ ΩΦ ψ ξ ξ ψ ξ ξ ψ ξ ξ Φ ψ ξ η η ε
′ ′ ′′
⎡ ⎤ ′ ′ ′ ′ ⎢ ⎥ ⎢ ⎥ = + ⎢ ⎥ ⎢ ⎥ − − ⎢ ⎥ ⎢ ⎥ ⎣ ⎦
∫
( )
{ , }
r r i iψ ξ η
( ) ( ) ( ) ( ) ( )
eff
; h V ξ ψ ξ ξ η ψ ξ ηψ ξ + =
( )
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
00 eff*
,
;
r n ni ni n i r r r i i i r i ni nn i
V d V V V
ξ Ωξ ψ ξ ξ ψ ξ ξ ψ ξ ξ η ψ ξ ξ ψ ξ η η ε
′ ′ ′′
′ ′ ′ ′ = + − −
∫
Elementary length time action
r ix t x V t λ η Δ = = Δ , Δ = Δ , Δ = Δ v
A
Unreduced Interaction Unreduced Interaction Complexity Complexity
where is the (dynamically derived) where is the (dynamically derived) system realisation number system realisation number for example: for example: with the with the dynamically dynamically determined probability determined probability
( ) ( )
, 0, 1 dC C C N C dN
ℜ ℜ
= > = ( ) ( )
1, ,
r r
N
Q Q ρ ξ ρ ξ
ℜ=
⊕
=∑
1 r r r r
N N α α
= ℜ
= , ∑
Nℜ
( ) ( )
ln , 1 , etc. C C N C C N
ℜ ℜ
= = −
Universal dynamic complexity Universal dynamic complexity includes includes intrinsic intrinsic chaoticity chaoticity due to the due to the dynamically probabilistic dynamically probabilistic problem solution: problem solution: UNIVERSAL DEFINITION OF DYNAMIC (INTERACTION) COMPLEXITY: UNIVERSAL DEFINITION OF DYNAMIC (INTERACTION) COMPLEXITY:
Unreduced Interaction: Dynamic Multivaluedness (Chaos) Unreduced Interaction: Dynamic Multivaluedness (Chaos)
First
Second
INTERACTION INTERACTION N points N points
( (modes
modes)
)
N points N points
( (modes
modes)
)
combinations combinations
(N N) × ( (a a1 1, ,a a2 2, ,a a3 3, ,b b1 1, ,b b2 2,etc.) ,etc.)
⇓ ⇓
N N-
fold redundance
a b c
1 2 3
a3 b3 c3 a2 b2 c2 a1 b1 c1
First Second Third Dynamically redundant interaction result: incompatible system realisations Permanent Permanent realisation change realisation change in in causally (dynamically) random causally (dynamically) random order
Universal Regimes of Complex Dynamics Universal Regimes of Complex Dynamics
1 κ
Two limiting regimes of complex dynamics: multivalued self multivalued self-
and uniform (global) chaos uniform (global) chaos Universal criterion of global (strong) chaos:
resonance of the main system motions Criterion of quasi-regularity (self-organisation): (or ) Highly complicated interaction networks cannot be close to regul Highly complicated interaction networks cannot be close to regularity arity Ordinary, unitary dynamic models and approaches are inapplicable Let’s transform the unitary approach defect defect (system failure) into the unreduced, complex-dynamic operation advantage advantage : superior power and qualities
1 κ
As network intensity grows one cannot avoid resonance cannot avoid resonance (“jam”): and therefore essential essential dynamic dynamic randomness becomes inevitable randomness becomes inevitable
1 κ ∼
1
i n Q ξ
ω η κ η ω Δ ≡ = Δ
κ
Complex Complex-
Dynamic Network Properties
N N
Huge efficiency growth Huge efficiency growth of
dynamically chaotic ( chaotic (multivalued multivalued) networks: ) 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
INTELLIGENT, TRULY AUTONOMOUS COMMUNICATION PARADIGM INTELLIGENT, TRULY AUTONOMOUS COMMUNICATION PARADIGM Particular aspects and applications Particular aspects and applications
N β β ( 1) ∼
! 2π ( ) (unreduced dynamic complexity)
N N
N N N e N C ∝
(1) Knowledge Knowledge-
based structure of intelligent communication networks (2) Holistic, two-layer dynamics of advanced advanced intelligent network (“superbrain”)
Complex Complex-
dynamic meaning of true true intelligence/consciousness intelligence/consciousness (physics/0409140)
(3) Intelligent network and its users automatically become more intelligent
Intrinsically suited to complex Intrinsically suited to complex-
dynamic problem solution →
→ revolution of complexityrevolution of complexity
(4) Universal symmetry/development of complexity Universal symmetry/development of complexity: unified guiding principle
Transformation of Transformation of dynamic information dynamic information ( (“ “interaction potential interaction potential” ”) into ) into dynamic entropy dynamic entropy
Evolution as complexity development
System evolution System evolution as a result of the as a result of the symmetry of complexity symmetry of complexity: :
qualitative, irreversible, qualitative, irreversible, dynamically discrete dynamically discrete (quantized) (quantized) change change (event): transformation of (event): transformation of dynamic information dynamic information, , I
I,
, into into dynamic entropy dynamic entropy, , S
S, while the sum,
, while the sum, total complexity total complexity, ,
C C = = I I + + S S, remains
, remains unchanged unchanged: :
Δ ΔC C = 0 = 0 ,
,
Δ ΔS S = = -
ΔI = I = -
ΔA
A > 0
> 0 ,
, where the extended, nonlinear action where the extended, nonlinear action A
A =
= I I is a unified
is a unified measure of complexity measure of complexity-
information, ⎪
⎪Δ
ΔA
A⎪
⎪ ~
~⎪
⎪V
Veff
eff⎪
⎪Δ
Δt t
Generalised Hamilton Generalised Hamilton-
Jacobi and Schrö ödinger equations: dinger equations:
, ,
The universal The universal meaning meaning and and purpose purpose of any system
evolution, , progress progress, and , and existence existence: : complexity development complexity development as a result of as a result of the the symmetry of complexity symmetry of complexity →
→ teleological, purposeful dynamics
teleological, purposeful dynamics
const const
, ,
x t
H x t t x
= =
Δ Δ ⎛ ⎞ + = ⎜ ⎟ Δ Δ ⎝ ⎠
A A
( ) ( )
const
ˆ ,
t
H x x E x x Ψ Ψ
=
Δ ⎛ ⎞ = ⎜ ⎟ Δ ⎝ ⎠
UNIVERSAL MEANING AND CRITERION OF PROGRESS UNIVERSAL MEANING AND CRITERION OF PROGRESS
Progress by complexity steps
dynamic entropy change Complexity levels, n n n n = 1 n n = 2
n n = 3
Fractal hierarchy of complexity time, t
t
ΔI, I, Δ ΔS S Any Any structure creation is a structure creation is a growth growth of complexity
entropy DYNAMICALLY DISCRETE COMPLEXITY DEVELOPMENT DYNAMICALLY DISCRETE COMPLEXITY DEVELOPMENT
“progress” vs “decline”
time, t
t
dynamic entropy change, Δ
ΔS S,
Hamiltonian (energy), Δ
ΔS S/ /Δ Δt t = = H, E H, E Δ ΔS S H H period of period of progress progress period of period of decline decline moments of happiness moments of happiness moments of ennui moments of ennui For For both both “ “progress progress” ” and and “ “decline decline” ”: : H H = = ∂ ∂S S/ /∂ ∂t t > 0 > 0 Progressive development (creation) Progressive development (creation): : W W = = ∂ ∂H H/ /∂ ∂t t = = ∂ ∂2
2SS/ /∂ ∂t t2
2 > 0> 0 Decline (decay, degradation) Decline (decay, degradation): : W W = = ∂ ∂H H/ /∂ ∂t t = = ∂ ∂2
2SS/ /∂ ∂t t2
2 < 0< 0 Max Max progress results ( progress results (“ “happiness happiness” ”): ): ∂ ∂H H/ /∂ ∂t t = = ∂ ∂2
2SS/ /∂ ∂t t2
2 = 0,= 0, ∂ ∂2
2HH/ /∂ ∂t t2
2 < 0< 0 Max Max decay results ( decay results (“ “ennui ennui” ”): ): ∂ ∂H H/ /∂ ∂t t = = ∂ ∂2
2SS/ /∂ ∂t t2
2 = 0,= 0, ∂ ∂2
2HH/ /∂ ∂t t2
2 > 0> 0 Transition Transition max max ( (“ “moment of truth moment of truth” ”): ): ∂ ∂2
2HH/ /∂ ∂t t2
2 = 0,= 0, ∂ ∂3
3HH/ /∂ ∂t t3
3 < 0< 0 Decline crisis ( Decline crisis (“ “moment of sin moment of sin” ”): ): ∂ ∂2
2HH/ /∂ ∂t t2
2 = 0,= 0, ∂ ∂3
3HH/ /∂ ∂t t3
3 > 0> 0
death branch
Universal complexity in action
Unified, causally complete fundamental physics (quantum mechanics, relativity, ics, relativity, particles, fields, forces, cosmology): no particles, fields, forces, cosmology): no “ “mysteries mysteries” ”, transparent, realistic , transparent, realistic knowledge and world view, the unique way to unlimited clean knowledge and world view, the unique way to unlimited clean energy energy
Real, complex-
dynamic nanodevices (quantum & classical), huge efficiency
Causally complete, reliable genomics (unreduced interaction dynamics) namics)
Complex-
dynamic biology: causal evolution theory, integral medicine
Creative ecology/development: realistic, unreduced sustainability concept ity concept
Emerging genuine intelligence and consciousness (natural and artificial) rtificial)
Complex-
dynamic, intelligent communication networks and software systems
Intelligent, truly autonomic, user-
superior quality of services and operation power superior quality of services and operation power
Essential, “ “built built-
in” ” progress of user capacities: intrinsic intelligence coevolution progress of user capacities: intrinsic intelligence coevolution without painful without painful “ “upgrades upgrades” ”, , “ “system failures system failures” ”, and , and “ “digital divide digital divide” ”
Super-
efficient and terribly interesting “ “global ICT game global ICT game” ” or
“real virtual reality real virtual reality” ”
UNREDUCED COMPLEXITY APPLICATIONS UNREDUCED COMPLEXITY APPLICATIONS COMPLEX COMPLEX-
DYNAMIC ICT PERSPECTIVES http://arxiv.org/find/quant http://arxiv.org/find/quant-
ph,gr-
qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1
New mathematics of complexity
Non-uniqueness of any real problem solution: universal dynamic multivaluedness dynamic multivaluedness
emergence, origin of events events and time time: A A ≠ ≠ A A for any real A A
dynamic entanglement: rigorous rigorous expression of material quality material quality
randomness, nonintegrability nonintegrability, noncomputability noncomputability, etc.
Dynamic discreteness (causal quantisation causal quantisation), nonunitarity nonunitarity, dynamic origin of space space
PROPERTIES OF PROPERTIES OF UNREDUCED UNREDUCED PROBLEM SOLUTION PROBLEM SOLUTION http://arXiv.org/abs/physics/0502133 http://arXiv.org/abs/physics/0502133
Science Progress Diagram
Mechanistic discreteness: Numbers Classical figures No interaction No change No quality Mechanistic Mechanistic discreteness: discreteness: Numbers Numbers Classical figures Classical figures No interaction No interaction No chan No chang ge e No quality No quality
Unitary 1 Unitary 1 Unitary 1 Unitary 2 Unitary 2 Unitary 2 USciCom USciCom USciCom
Unitary science: Unitary science: only one
from many real system realisations Universal Science of Complexity (USciCom): Universal Science of Complexity (USciCom): all all system realisations system realisations NEW MATHEMATICS OF COMPLEXITY NEW MATHEMATICS OF COMPLEXITY Mechanistic continuity: Calculus Deformable shapes Trivial interaction Formal change No quality Mechanistic Mechanistic continuity: continuity: Calculus Calculus Deformable shapes Deformable shapes Trivial interaction Trivial interaction Formal chan Formal chang ge e No quality No quality Dynamic discreteness: Multivaluedness Dynamical fractal Full interaction Intrinsic change Full quality Dynamic Dynamic discreteness: discreteness: Multivaluedness Multivaluedness Dynamical fractal Dynamical fractal Full interaction Full interaction Intrinsic chan Intrinsic chang ge e Full quality Full quality http://arXiv.org/abs/physics/9806002 http://arXiv.org/abs/physics/9806002
Unreduced complexity features
Unreduced complexity >> usual imitations of complexity imitations of complexity
Fundamental difference of unreduced complexity unreduced complexity (dynamic multivaluedness) from any dynamically single-valued (unitary) imitations of complexity imitations of complexity
Usual science = zero-
dimensional projection of reality projection of reality
The whole whole usual, unitary science, including scholar “science of complexity” (“chaos”, “self-organisation”, “nonlinear dynamics”, etc.), is the simplest simplest possible, zero zero-
dimensional, point-
like projection of real, multivalued multivalued world dynamics
Unreduced complexity = natural completion natural completion of usual science
Universal science of complexity (unreduced unreduced interaction problem solution solution) is the explicit, causally complete extension 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 solves stagnating stagnating problems problems of unitary science (quantum physics, particles, field theory, gravity, cosmology, solid state, biology, etc.) and completes completes it up to the humanities (consciousness, ethics, aesthetics, development, etc.)
Complex system creation by unreduced complexity understanding by unreduced complexity understanding
Only the unreduced unreduced dynamic complexity is suitable for real real-
world applications involving new system design new system design (like autonomic communication networks, intelligent software, AI, machine consciousness)
UNIVERSAL CONCEPT AND SCIENCE OF COMPLEXITY UNIVERSAL CONCEPT AND SCIENCE OF COMPLEXITY
http://arXiv.org/abs/physics/9806002 http://arXiv.org/abs/physics/9806002
UNIFIED SCIENCE OF COMPLEX ICT SYSTEMS
Principles of Complex ICT System Operation & Design
UNIFIED SCIENCE OF COMPLEX ICT SYSTEMS UNIFIED SCIENCE OF COMPLEX ICT SYSTEMS
Principles of Complex ICT System Operation & Design Principles of Complex ICT System Operation & Design
Efficient interaction of comparable complexity units
Complexity development as the purpose of control
Huge power of unreduced interaction complexity
UNIFIED BY THE SYMMETRY OF COMPLEXITY
Efficient interaction of Efficient interaction of comparable complexity comparable complexity units units
dynamic control principle
Complexity development Complexity development as the purpose of control as the purpose of control
Huge power Huge power of unreduced interaction complexity
UNIFIED BY THE UNIFIED BY THE SYMMETRY OF COMPLEXITY SYMMETRY OF COMPLEXITY
Complexity Correspondence Principle
Efficient Interaction of Comparable Complexity Units
Complexity Correspondence Principle Complexity Correspondence Principle
Efficient Interaction of Comparable Complexity Units Efficient Interaction of Comparable Complexity Units
Higher complexity enslaves lower complexity
Low complexity cannot control/simulate high complexity
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 Low complexity cannot cannot control/simulate high complexity control/simulate high complexity
tools for context-
based ICT
Similar complexities give rise to strong chaoticity
Creative Creative power of power of “
“confined
confined”
” chaos (dynamic adaptability)
chaos (dynamic adaptability)
Excessive complexity tool replaces useful operation
Complex tools at context/software, Complex tools at context/software, not not traffic/hardware level traffic/hardware level
Complex-Dynamic Control Principle
Complexity Development as Unified Control Purpose
Complex Complex-
Dynamic Control Principle
Complexity Development as Unified Control Purpose 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 Relying upon usual “
“total
total”
” control gives
control gives total system failure total system failure Multivalued, chaotic SOC Multivalued, chaotic SOC regime is a general control result regime is a general control result
Optimal interaction complexity development
Creative Creative, rather than restrictive control is , rather than restrictive control is more more reliable reliable
Universal guiding line and criterion of control
Sustainable control Sustainable control: global stability by local creativity : global stability by local creativity
Unreduced (Free) Interaction Principle
Huge Power of Unreduced Interaction Complexity
Unreduced (Free) Interaction Principle Unreduced (Free) Interaction Principle
Huge Power of Unreduced Interaction Complexity 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 Only general direction is fixed/controlled, not the details Intrinsic chaoticity Intrinsic chaoticity is a normal, useful system state is a normal, useful system state
Huge power of unreduced complex dynamics
Genuine parallelism Genuine parallelism of multivalued dynamical fractal
Constructive alternation of strong chaos and SOC
Symmetry of complexity Symmetry of complexity: chaotic search and ordered creation : chaotic search and ordered creation
COMPLEXITY TRANSITION IN ICT SYSTEMS
The New Era of Intelligent Communication Tools
COMPLEXITY TRANSITION IN ICT SYSTEMS COMPLEXITY TRANSITION IN ICT SYSTEMS
The New Era of Intelligent Communication Tools The New Era of Intelligent Communication Tools (1) Transition to useful dynamic complexity/chaos
Priority R&D task and inevitable way of development
(2) Complexity levels of global communication system
(3) Intelligent and conscious communication systems
Unified, fractal “quantum beat” (physics/0409140) Unlimited coevolution of system and user complexity
(1) Transition to (1) Transition to useful useful dynamic complexity/chaos dynamic complexity/chaos
Priority R&D task and Priority R&D task and inevitable inevitable way of development way of development
(2) Complexity levels of global communication system (2) Complexity levels of global communication system
Quasi-
regular P2P network (modern internet, phone)
Complex-
dynamic P2P network (liberated internet)
Context-
based network: “
“human
human”
” complexity levels
complexity levels
(3) Intelligent and conscious communication systems (3) Intelligent and conscious communication systems
Unified, fractal Unified, fractal “
“quantum beat
quantum beat”
” (physics/0409140)
(physics/0409140) Unlimited coevolution Unlimited coevolution of system
and user complexity user complexity
Knowledge Knowledge-
Based Structure
Realistic initiation of intelligent networks Realistic initiation of intelligent networks
Existing networks are based on Existing networks are based on hardware hardware tools tools
regular control regular control, rigid structure, , rigid structure, nonintelligent nonintelligent behaviour behaviour inevitable first step of development (now accomplished) inevitable first step of development (now accomplished)
Knowledge Knowledge, not tools, is the network purpose , not tools, is the network purpose
very limited solution by very limited solution by “ “advanced advanced” ” search tools (Google) search tools (Google)
Knowledge Knowledge-
based network is the next step is the next step
structure guided by (developing) structure guided by (developing) user user knowledge (P2P) knowledge (P2P) permanently changeable, irregular, autonomously adaptable permanently changeable, irregular, autonomously adaptable complex complex-
dynamic interaction, intelligent network mathematical structure of probabilistic dynamic fractal mathematical structure of probabilistic dynamic fractal
Full solution needs qualitatively new tools Full solution needs qualitatively new tools
Three levels of complex network dynamics: Three levels of complex network dynamics: (1) restricted user complexity (today) (1) restricted user complexity (today) (2) user (2) user-
(3) hardware dynamic complexity (global intelligence) (3) hardware dynamic complexity (global intelligence)
A reduced solution (2) is a A reduced solution (2) is a feasible feasible next step next step
hierarchic, hierarchic, knowledge knowledge-
guided structure of software structure of software “ “tree of knowledge tree of knowledge” ” in the web and user tools (interface) in the web and user tools (interface) permanent interaction permanent interaction and and autonomous change autonomous change
A reduced solution prepares the full solution (3) A reduced solution prepares the full solution (3)
mechanical mechanical “ “intelligence intelligence” ” as a way to genuine intelligence as a way to genuine intelligence users of intelligent network become more intelligent users of intelligent network become more intelligent knowledge knowledge-
based network supports its own development
Knowledge Knowledge-
Based Structure
personal or global knowledge branch (user interface) personal or global knowledge branch (user interface) autonomous development due to complex-dynamic branch interaction
Knowledge Knowledge-
Based Structure
branch interaction process
(1) Available (1) Available “ “interaction space interaction space” ” (2) Self (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 Principles of complex network realisation
Knowledge Knowledge-
Based Structure
Today’ ’s communication s communication development is development is not not sustainable: sustainable:
quickly quickly growing problems growing problems of intensity, content, efficiency, creativity
(similar to usual ecological problems) (similar to usual ecological problems)
we need
we need always more always more
Illusion of regularity: :
regular, regular, “ “industrial industrial” ” operation mode
inevitably leads to leads to degradation degradation at a at a high intensity high intensity stage (similar to usual stage (similar to usual developed developed industry) industry)
Illusion of power:
power power cannot cannot increase increase quality quality by itself: increasing power capacities by itself: increasing power capacities need another, need another, qualitatively qualitatively different dynamics different dynamics
complexity
complexity
Only complex complex-
dynamic communication can be sustainable: can be sustainable:
– – system freedom system freedom to change its own structure ( to change its own structure (true autonomy true autonomy) ) – – efficient management of efficient management of information content information content ( (intelligence intelligence) ) – – complex complex-
dynamic (chaotic) control (chaotic) control
genuine
genuine security security and and progress progress – – permanent, natural permanent, natural user user-
machine-
network complexity coevolution coevolution
Today’ ’s s bifurcation bifurcation of
communication development: :
Complexity Transition = Sustainability Transition (similar to ec Complexity Transition = Sustainability Transition (similar to ecology)
Sustainable communication
http://arXiv.org/abs/physics/0509234 http://arXiv.org/abs/physics/0509234
Only unreduced complexity has unlimited unlimited development perspectives: social social aspects
essential also for its efficient imitations efficient imitations
artificial artificial dynamic complexity: important connection to natural natural complexity studies
fundamental science (otherwise “ending”)
ICT complexity perspectives
Universal complexity in action
Unified, causally complete fundamental physics (quantum mechanics, relativity, ics, relativity, particles, fields, forces, cosmology): no particles, fields, forces, cosmology): no “ “mysteries mysteries” ”, transparent, realistic , transparent, realistic knowledge and world view, the unique way to unlimited clean knowledge and world view, the unique way to unlimited clean energy energy
Real, complex-
dynamic nanodevices (quantum & classical), huge efficiency
Causally complete, reliable genomics (unreduced interaction dynamics) namics)
Complex-
dynamic biology: causal evolution theory, integral medicine
Creative ecology/development: realistic, unreduced sustainability concept ity concept
Emerging genuine intelligence and consciousness (natural and artificial) rtificial)
Complex-
dynamic, intelligent communication networks and software systems
Intelligent, truly autonomic, user-
superior quality of services and operation power superior quality of services and operation power
Essential, “ “built built-
in” ” progress of user capacities: intrinsic intelligence coevolution progress of user capacities: intrinsic intelligence coevolution without painful without painful “ “upgrades upgrades” ”, , “ “system failures system failures” ”, and , and “ “digital divide digital divide” ”
Super-
efficient and terribly interesting “ “global ICT game global ICT game” ” or
“real virtual reality real virtual reality” ”
UNREDUCED COMPLEXITY APPLICATIONS UNREDUCED COMPLEXITY APPLICATIONS COMPLEX COMPLEX-
DYNAMIC ICT PERSPECTIVES http://arxiv.org/find/quant http://arxiv.org/find/quant-
ph,gr-
qc,physics/1/au:+Kirilyuk/0/1/0/all/0/1
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. [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. [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. [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
[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.