An Algorithmic Approach to Emergence

We suggest a quantitative and objective notion of . 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...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2022-07, Vol.24 (7), p.985
Main Authors: Bédard, Charles Alexandre, Bergeron, Geoffroy
Format: Article
Language:English
Subjects:
algorithmic information theory
Algorithms
Biology
Boundary conditions
Data compression
emergence
Granulation
Information theory
Kolmogorov’s structure function
Scientists
Strings
Subjectivity
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Summary:We suggest a quantitative and objective notion of . 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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e24070985