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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Quantum-like formalism for cognitive measurements.

Andrei Khrennikov1

  • 1International Center for Mathematical Modeling in Physics and Cognitive Sciences, MSI, University of Växjö, S-35195 Växjö, Sweden. Andrei.khrennikov@msi.vxu.se

Bio Systems
|August 28, 2003
PubMed
Summary

We introduce a quantum formalism to model consciousness as a self-measuring quantum system. This approach allows predicting cognitive observables and models mental space using p-adic hierarchic trees.

Area of Science:

  • Theoretical Physics
  • Cognitive Science
  • Neuroscience

Background:

  • Cognitive processes exhibit hierarchical structures.
  • Understanding consciousness requires robust mathematical frameworks.
  • Existing models may not fully capture the complexity of mental phenomena.

Purpose of the Study:

  • To develop a novel quantum formalism for cognitive systems.
  • To mathematically model consciousness as a self-measuring quantum-like system.
  • To explore adequate mental geometries for cognitive modeling.

Main Methods:

  • Development of a Hilbert space probabilistic calculus.
  • Application of the formalism to model consciousness.
  • Utilizing p-adic hierarchic trees to represent mental space.

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  • Analysis of cognitive observables and their averages.

    • Main Results:

    • A predictive quantum formalism for cognitive measurements.
    • Mathematical modeling of consciousness as a self-measuring quantum system.
    • Successful prediction of averages for cognitive observables.
    • A framework for understanding mental space geometry.

    Conclusions:

    • The proposed quantum formalism offers a new perspective on consciousness.
    • The model provides a basis for predicting cognitive observables.
    • P-adic hierarchic trees offer a viable structure for mental space representation.