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

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.

---

This book develops a new physical/mathematical model for the functioning of the human brain, based, not on the modern Newton-Einstein view of physical reality, but on 'information reality'. The work is devoted to the physical-mathematical modeling of (conscious) cognitive phenomena. The most important distinguishing feature of the theory presented here is a new model of mental space, the so-called p-adic hierarchic tree space, and the development of mental analogs of classical and quantum mechanics. Mental processes and more general information processes are handled as a kind of new physical processes. In particular, the procedure of information quantization and an information analog of Bohmian mechanics are developed. Here, mind is a singularity in the mental pilot wave. Applications to neurophysiology, localization of mental function and brain ablations, and psychology (in particular, Freud's psychoanalysis) are considered.

---

This book develops a new physical/mathematical model for the functioning of the human brain, based, not on the modern Newton-Einstein view of physical reality, but on 'information reality'. The work is devoted to the physical-mathematical modeling of (conscious) cognitive phenomena. The most important distinguishing feature of the theory presented here is a new model of mental space, the so-called p-adic hierarchic tree space, and the development of mental analogs of classical and quantum mechanics. Mental processes and more general information processes are handled as a kind of new physical processes. In particular, the procedure of information quantization and an information analog of Bohmian mechanics are developed. Here, mind is a singularity in the mental pilot wave. Applications to neurophysiology, localization of mental function and brain ablations, and psychology (in particular, Freud's psychoanalysis) are considered.
Content:
Front Matter....Pages i-xv
Processing of Information on P-Adic Trees....Pages 1-22
Hierarchy of Information....Pages 23-38
P-Adic Dynamical Systems....Pages 39-56
Random Processing of Information....Pages 57-69
Information Quantum Mechanics....Pages 71-83
Bohmian Mechanics on Information Spaces....Pages 85-116
Abstract Ultrametric Information Spaces....Pages 117-130
Pathway Representation of Cognitive Information....Pages 131-152
Contextual Approach to Quantum Theory....Pages 153-185
Frequency Analysis of Foundations of Quantum Mechanics....Pages 187-207
Bohmian Mechanics for Financial Processes....Pages 209-223
Back Matter....Pages 224-242

---

This book develops a new physical/mathematical model for the functioning of the human brain, based, not on the modern Newton-Einstein view of physical reality, but on 'information reality'. The work is devoted to the physical-mathematical modeling of (conscious) cognitive phenomena. The most important distinguishing feature of the theory presented here is a new model of mental space, the so-called p-adic hierarchic tree space, and the development of mental analogs of classical and quantum mechanics. Mental processes and more general information processes are handled as a kind of new physical processes. In particular, the procedure of information quantization and an information analog of Bohmian mechanics are developed. Here, mind is a singularity in the mental pilot wave. Applications to neurophysiology, localization of mental function and brain ablations, and psychology (in particular, Freud's psychoanalysis) are considered.
Content:
Front Matter....Pages i-xv
Processing of Information on P-Adic Trees....Pages 1-22
Hierarchy of Information....Pages 23-38
P-Adic Dynamical Systems....Pages 39-56
Random Processing of Information....Pages 57-69
Information Quantum Mechanics....Pages 71-83
Bohmian Mechanics on Information Spaces....Pages 85-116
Abstract Ultrametric Information Spaces....Pages 117-130
Pathway Representation of Cognitive Information....Pages 131-152
Contextual Approach to Quantum Theory....Pages 153-185
Frequency Analysis of Foundations of Quantum Mechanics....Pages 187-207
Bohmian Mechanics for Financial Processes....Pages 209-223
Back Matter....Pages 224-242
....