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ORIGINAL RESEARCH article

Front. Complex Syst.
Sec. Complex Systems Theory
Volume 2 - 2024 | doi: 10.3389/fcpxs.2024.1347930
This article is part of the Research Topic Insights In Complex Systems Theory View all 7 articles

Quantum Logic Automata Generalizing the Edge of Chaos in Complex Systems

Provisionally accepted
Yukio P. Gunji Yukio P. Gunji 1*Yoshihiko Ohzawa Yoshihiko Ohzawa 1Yuuki Tokuyama Yuuki Tokuyama 2Kentaro Eto Kentaro Eto 1
  • 1 Waseda University, Tokyo, Japan
  • 2 Kyushu University, Fukuoka, Fukuoka, Japan

The final, formatted version of the article will be published soon.

    While historically, researchers in the science of complex systems proposed the idea of the edge of chaos and/or self-organized criticality as the essential feature of complex organization, they were not able to generalize this concept. Complex organization is regarded at the edge of chaos between the order phase and the chaos phase and is regarded as a very rare case. Additionally, in cellular automata, the critical property is Class IV, which is also rarely found. Therefore, there can be overestimation for natural selection.More recently, developments in cognitive and brain science have led to the free energy principle based on Bayesian inference, while quantum cognition has been established to explain various cognitive phenomena. Since Bayesian inference results in the perspective of a steady state, it can be described in Boolean logic. In considering that quantum logic consists of multiple Boolean logic in terms of lattice theory, the perspective of the free energy principle is the perspective of order, and the perspective of quantum logic might be the perspective of multiple worlds, which is strongly relevant for the edge of chaos.

    Keywords: Quantum Logic 1, Automata 2, Edge of Chaos 3, Rough set 4, Lattice Theory 5

    Received: 01 Dec 2023; Accepted: 18 Jun 2024.

    Copyright: © 2024 Gunji, Ohzawa, Tokuyama and Eto. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Yukio P. Gunji, Waseda University, Tokyo, Japan

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