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arXiv · 2205.12997

An Algorithmic Approach to Emergence

Charles Alexandre Bédard·Geoffroy Bergeron
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Abstract

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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cond-mat.stat-mechcs.AImath.DSphysics.data-anquant-ph

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BibTeXRIS

Charles Alexandre Bédard, Geoffroy Bergeron. 2022-05-19. An Algorithmic Approach to Emergence. https://doi.org/10.3390/e24070985

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