Informational Structures and Informational Fields as a Prototype for the Description of Postulates of the Integrated Information Theory

Piotr Kalita; José A Langa; Fernando Soler-Toscano

doi:10.3390/e21050493

Informational Structures and Informational Fields as a Prototype for the Description of Postulates of the Integrated Information Theory

Entropy (Basel). 2019 May 14;21(5):493. doi: 10.3390/e21050493.

Authors

Piotr Kalita¹, José A Langa², Fernando Soler-Toscano³

Affiliations

¹ Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland.
² Department of Differential Equations and Numerical Analysis, Faculty of Mathematics, University of Seville, 41080 Seville, Spain.
³ Department of Philosophy, Logic and Philosophy of Science, Faculty of Philosophy, University of Seville, 41018 Seville, Spain.

Abstract

Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical systems-based approach to Integrated Information Theory (IIT). IS and IF contain all the geometrical and topological constraints in the phase space. This allows one to characterize all the past and future dynamical scenarios for a system in any particular state. In this paper, we develop further steps in this direction, describing a proper continuous framework for an abstract formulation, which could serve as a prototype of the IIT postulates.

Keywords: Lotka–Volterra equations; dynamical system; global attractors; informational field; informational structure; integrated information theory.

Abstract

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