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Informational structures: A dynamical system approach for integrated information.

Francisco J Esteban1, Javier A Galadí2, José A Langa2

  • 1Department of Experimental Biology, University of Jaén, Jaén, Spain.

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Summary
This summary is machine-generated.

Integrated Information Theory (IIT) offers a mathematical framework for consciousness. This study introduces a continuous space-time version of integrated information, defining an Informational Structure to measure consciousness levels.

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Area of Science:

  • Neuroscience and Theoretical Physics
  • Computational Neuroscience
  • Philosophy of Mind

Background:

  • Integrated Information Theory (IIT) is a leading framework for understanding consciousness.
  • IIT posits that conscious experience is an informational structure that is integrated and irreducible.
  • The theory allows for an abstract, mathematical formulation of consciousness.

Purpose of the Study:

  • To introduce a space-time continuous version of integrated information.
  • To define an Informational Structure within a dynamical system framework.
  • To develop a measure for the level of integrated information.

Main Methods:

  • Utilizing graph and dynamical systems theory.
  • Defining an Informational Structure associated with a system's global attractor.
  • Analyzing the structure through invariants and transition probability matrices.

Main Results:

  • An Informational Structure is defined for a given mechanism and state.
  • This structure possesses informational properties and cause-effect power via an Informational Field.
  • A measure for integrated information level is developed based on the structure's properties.

Conclusions:

  • The proposed continuous space-time framework extends IIT.
  • The Informational Structure provides a quantifiable measure of integrated information.
  • This approach offers a novel way to study the physical basis of consciousness.