Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena

1. Front Matter

   Pages i-xv

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2. Processing of Information on P-Adic Trees

   • Andrei Khrennikov

   Pages 1-22

3. Hierarchy of Information

   • Andrei Khrennikov

   Pages 23-38

4. P-Adic Dynamical Systems

   • Andrei Khrennikov

   Pages 39-56

5. Random Processing of Information

   • Andrei Khrennikov

   Pages 57-69

6. Information Quantum Mechanics

   • Andrei Khrennikov

   Pages 71-83

7. Bohmian Mechanics on Information Spaces

   • Andrei Khrennikov

   Pages 85-116

8. Abstract Ultrametric Information Spaces

   • Andrei Khrennikov

   Pages 117-130

9. Pathway Representation of Cognitive Information

   • Andrei Khrennikov

   Pages 131-152

10. Contextual Approach to Quantum Theory

    • Andrei Khrennikov

    Pages 153-185

11. Frequency Analysis of Foundations of Quantum Mechanics

    • Andrei Khrennikov

    Pages 187-207

12. Bohmian Mechanics for Financial Processes

    • Andrei Khrennikov

    Pages 209-223

13. Back Matter

    Pages 224-242

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In this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure.

• Computer
• Fuzzy
• calculus
• classification
• cognitive science
• cognitive systems
• dynamische Systeme
• information system
• modeling

• International Center for Mathematical Modelling in Physics, Engineering, and Cognitive Science, Växjö University, Växjö, Sweden

  Andrei Khrennikov

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