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Reactive Colimit : a View of Internal Measurement Based on a Hamiltonian System
p. 47-60
Abstract
Consistent structure of a Hamiltonian dynamical system with constant energy is shown in terms of category theory. A colimit of the dynamical system corresponds to a set of pairs of an initial state and a final state. Expansion of the colimit based on a concept of internal measurement induces heterarchical structure in the dynamical system and derives interaction between the system and the other one. Dynamical change of potential functions derived from that expansion is relevant to a concept of emergence based on the viewpoint of the Hamiltonian system.
Index
Text
References
Bibliographical reference
Moto Kamiura and Yukio-Pegio Gunji, « Reactive Colimit : a View of Internal Measurement Based on a Hamiltonian System », CASYS, 17 | 2006, 47-60.
Electronic reference
Moto Kamiura and Yukio-Pegio Gunji, « Reactive Colimit : a View of Internal Measurement Based on a Hamiltonian System », CASYS [Online], 17 | 2006, Online since 04 September 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=2994
Authors
Moto Kamiura
Graduate School of Science and Technology, Kobe University, 1-1, Rokkodai, Nada, Kobe 657-8501, Japan
Yukio-Pegio Gunji
Department of Earth & Planetary Sciences, Faculty of Science, Kobe University, 1-1, Rokkodai, Nada, Kobe 657-8501, Japan