An Algorithmic Approach to Emergence
Statistical Mechanics
2022-08-18 v2 Artificial Intelligence
Dynamical Systems
Data Analysis, Statistics and Probability
Quantum Physics
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.
Cite
@article{arxiv.2205.12997,
title = {An Algorithmic Approach to Emergence},
author = {Charles Alexandre Bédard and Geoffroy Bergeron},
journal= {arXiv preprint arXiv:2205.12997},
year = {2022}
}
Comments
46 pages, 11 figures