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Boundedness and Self-Organized Semantics: Theory and Applications

Book Description

With the consideration of boundedness as a principle of organization rather than a law, its leading role is to apply a chain of command to the self-organization of matter, energy, and information. An exclusive property of this theory is the established way of sustaining the functionality of hierarchy through rules that are organized in a semantic-like approach.Boundedness and Self-Organized Semantics: Theory and Applications enhances the understanding of the theoretical framework and leading principles of boundedness. Aiming to bridge the gap between biology, artificial intelligence, and physics, this book is an essential source for a wide audience including graduate students, researchers, and engineers interested in the advances of this interdisciplinary science.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Acknowledgment
  6. Section 1: Boundedness and Stability: Characteristics of Homeostasis
    1. Chapter 1: Time Series Invariants under Boundedness
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. TRANSFORMATIONAL AND SCALING INVARIANCE
      5. POWER SPECTRUM
      6. VARIANCE
      7. BOUNDEDNESS OF THE RATES: EMBEDDING DIMENSION
      8. K-ENTROPY
      9. CONCLUSION
      10. APPENDIX
    2. Chapter 2: Time Series Invariants under Boundedness
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. POWER SPECTRUM AS A “LETTER”
      5. WHY DO WE NEED NON-RECURSIVE FREQUENCIES AND WHERE THEY COME FROM?
      6. TIME SERIES INVARIANTS AND EARLY WARNING
      7. CONCLUSION
    3. Chapter 3: Hierarchical Order I
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. ROOTS OF THE PROBLEM
      5. NON-UNITARY INTERACTIONS AND THE INTER-LEVEL FEEDBACK
      6. CONCLUSION
    4. Chapter 4: Hierarchical Order II
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. EQUATION-OF-STATE
      5. METRICS IN THE STATE SPACE
      6. STRUCTURE AND TOPOLOGY OF THE STATE SPACE
      7. NON-EXTENSIVITY OF HIERARCHICAL STRUCTURING
      8. SEMANTIC UNIT AS AN ENGINE
      9. CONCLUSION
    5. Chapter 5: Invariant Measure
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. STATE SPACE TRAJECTORIES: GENERAL CHARACTERIZATION
      5. RELATION
      6. LYAPUNOV EXPONENT OF THE “U-TURNS”
      7. POWER LAWS UNDER BOUNDEDNESS
      8. CONCLUSION
    6. Chapter 6: Boundedness and Other Theories for Complex Systems
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. CRISES OF IDENTITY AT THERMODYNAMICAL EQUILIBRIUM
      5. SELF-ORGANIZED CRITICALITY
      6. DETERMINISTIC CHAOS: MAJOR PROBLEMS
      7. CHAOTIC PROPERTIES UNDER BOUNDEDNESS
      8. SIMULATED DYNAMICAL SYSTEMS UNDER BOUNDEDNESS
      9. CONCLUSION
    7. INTRODUCTION TO SECTION 1
  7. Section 2: Boundedness: Properties of Self-Organized Semantics
    1. Chapter 7: Hierarchical Order
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. EQUATION OF MOTION
      5. CONTROL OVER NETWORKS
      6. A SEMANTIC UNIT AS A SPATIO-TEMPORAL PATTERN
      7. CONCLUSION
    2. Chapter 8: Sustainable Evolution in an Ever-Changing Environment
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. RESPONSE TO ENVIRONMENTAL VARIATIONS MODELED BY A BIS
      5. CHEMICAL POTENTIAL
      6. CONCLUSION
    3. Chapter 9: Second Law Viewed as Ban over Perpetuum Mobile
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. ARROW OF TIME
      5. ENTROPY UNDER BOUNDEDNESS
      6. BAN OVER PERPETUUM MOBILE
      7. CONCLUSION
    4. Chapter 10: Is Semantic Physical?!
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. COMPARISON BETWEEN ALGORITHMIC AND SEMANTIC-LIKE APPROACH
      5. SHORTEST ALGORITHM VS. “INTUITION”
      6. BOUNDEDNESS IN AN EXPERIMENT
      7. SOCIAL SYSTEMS UNDER BOUNDEDNESS
      8. CONCLUSION
    5. SECTION 2 INTRODUCTION
  8. Compilation of References
  9. About the Author
  10. EPILOGUE
    1. BOUNDEDNESS AND SELF-ORGANIZED SEMANTICS IN A NUTSHELL
  11. Index