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Human subconscious as a p-adic dynamical system

A Khrennikov1

  • 1Department of Mathematics, Statistics and Computer Sciences, University of Växjö, Sweden.

Journal of Theoretical Biology
|August 26, 1998
PubMed
Summary
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We introduce a novel mathematical model for thinking, utilizing dynamical systems and p-adic numbers to represent the subconscious. This model offers a new perspective on cognition beyond traditional logic.

Area of Science:

  • Cognitive Science
  • Mathematical Psychology
  • Dynamical Systems Theory

Background:

  • Human thinking is complex, involving conscious and subconscious processes.
  • Existing models often rely on rule-based reasoning.
  • A mathematical framework for subconscious idea generation is lacking.

Purpose of the Study:

  • To propose a novel mathematical model for the process of thinking.
  • To describe the subconscious as a space of dynamical systems.
  • To utilize p-adic numbers for modeling the configuration space of ideas.

Main Methods:

  • Modeling thinking as dynamical systems operating in the subconscious.
  • Conscious control is modeled as parameter fixing and idea transmission.
  • The space of ideas is mathematically defined using p-adic numbers.

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Main Results:

  • A mathematical framework for subconscious thought processes is presented.
  • The p-adic metric on the space of ideas defines nearness based on common roots.
  • The model is not based on the rule of reason.

Conclusions:

  • The proposed p-adic dynamical systems offer a new mathematical approach to understanding cognition.
  • This model may explain aspects of human psychological and social behavior.
  • It provides a foundation for further research into the mathematical underpinnings of thought.