An Algorithmic Approach to Emergence

We suggest a quantitative and objective notion of emergence. Our proposal uses algorithmic information theory as a basis for an objective framework in which a bit string encodes observational data. A plurality of drops in the Kolmogorov structure function of such a string is seen as the hallmark of...

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Detalles Bibliográficos
Autores principales: Bédard, Charles Alexandre, Bergeron, Geoffroy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9321607/
https://www.ncbi.nlm.nih.gov/pubmed/35885208
http://dx.doi.org/10.3390/e24070985
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author Bédard, Charles Alexandre
Bergeron, Geoffroy
author_facet Bédard, Charles Alexandre
Bergeron, Geoffroy
author_sort Bédard, Charles Alexandre
collection PubMed
description We suggest a quantitative and objective notion of emergence. Our proposal uses algorithmic information theory as a basis for an objective framework in which a bit string encodes observational data. A plurality of drops in the Kolmogorov structure function of such a string is seen as the hallmark of emergence. Our definition offers some theoretical results, in addition to extending the notions of coarse-graining and boundary conditions. Finally, we confront our proposal with applications to dynamical systems and thermodynamics.
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spelling pubmed-93216072022-07-27 An Algorithmic Approach to Emergence Bédard, Charles Alexandre Bergeron, Geoffroy Entropy (Basel) Article We suggest a quantitative and objective notion of emergence. Our proposal uses algorithmic information theory as a basis for an objective framework in which a bit string encodes observational data. A plurality of drops in the Kolmogorov structure function of such a string is seen as the hallmark of emergence. Our definition offers some theoretical results, in addition to extending the notions of coarse-graining and boundary conditions. Finally, we confront our proposal with applications to dynamical systems and thermodynamics. MDPI 2022-07-16 /pmc/articles/PMC9321607/ /pubmed/35885208 http://dx.doi.org/10.3390/e24070985 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bédard, Charles Alexandre
Bergeron, Geoffroy
An Algorithmic Approach to Emergence
title An Algorithmic Approach to Emergence
title_full An Algorithmic Approach to Emergence
title_fullStr An Algorithmic Approach to Emergence
title_full_unstemmed An Algorithmic Approach to Emergence
title_short An Algorithmic Approach to Emergence
title_sort algorithmic approach to emergence
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9321607/
https://www.ncbi.nlm.nih.gov/pubmed/35885208
http://dx.doi.org/10.3390/e24070985
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