An Algorithmic Approach to Emergence
Copyright policy )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 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.
- University of Montreal Canada
- Università della Svizzera italiana (USI) Switzerland
- Centre de recherches mathématiques- Canada
- Faculty of Informatics Switzerland
- Centre de recherches mathématiques Université de Montréal Canada
FOS: Computer and information sciences, Computer Science - Artificial Intelligence, Science, QC1-999, FOS: Physical sciences, Emergence, Dynamical Systems (math.DS), Algorithmic information theory, Astrophysics, Article, info:eu-repo/classification/udc/004, FOS: Mathematics, emergence, Mathematics - Dynamical Systems, algorithmic information theory, Condensed Matter - Statistical Mechanics, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), Physics, Q, Kolmogorov’s structure function, QB460-466, Artificial Intelligence (cs.AI), Physics - Data Analysis, Statistics and Probability, emergence; Kolmogorov’s structure function; algorithmic information theory, Quantum Physics (quant-ph), Data Analysis, Statistics and Probability (physics.data-an)
FOS: Computer and information sciences, Computer Science - Artificial Intelligence, Science, QC1-999, FOS: Physical sciences, Emergence, Dynamical Systems (math.DS), Algorithmic information theory, Astrophysics, Article, info:eu-repo/classification/udc/004, FOS: Mathematics, emergence, Mathematics - Dynamical Systems, algorithmic information theory, Condensed Matter - Statistical Mechanics, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), Physics, Q, Kolmogorov’s structure function, QB460-466, Artificial Intelligence (cs.AI), Physics - Data Analysis, Statistics and Probability, emergence; Kolmogorov’s structure function; algorithmic information theory, Quantum Physics (quant-ph), Data Analysis, Statistics and Probability (physics.data-an)
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