Information Dynamics in Cognitive, Psychological, Social and Anomalous Phenomena

  • Andrei Khrennikov

Part of the Fundamental Theories of Physics book series (FTPH, volume 138)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Andrei Khrennikov
    Pages 1-22
  3. Andrei Khrennikov
    Pages 23-38
  4. Andrei Khrennikov
    Pages 39-56
  5. Andrei Khrennikov
    Pages 57-69
  6. Andrei Khrennikov
    Pages 71-83
  7. Andrei Khrennikov
    Pages 85-116
  8. Andrei Khrennikov
    Pages 117-130
  9. Andrei Khrennikov
    Pages 131-152
  10. Andrei Khrennikov
    Pages 153-185
  11. Andrei Khrennikov
    Pages 209-223
  12. Back Matter
    Pages 224-242

About this book


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

Authors and affiliations

  • Andrei Khrennikov
    • 1
  1. 1.International Center for Mathematical Modelling in Physics, Engineering, and Cognitive ScienceVäxjö UniversityVäxjöSweden

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6532-2
  • Online ISBN 978-94-017-0479-3
  • Buy this book on publisher's site