arXiv Analytics

Sign in

arXiv:1709.07062 [cond-mat.stat-mech]AbstractReferencesReviewsResources

Compressibility, laws of nature, initial conditions and complexity

Sergio Chibbaro, Angelo Vulpiani

Published 2017-09-20Version 1

We critically analyse the point of view for which laws of nature are just a mean to compress data. Discussing some basic notions of dynamical systems and information theory, we show that the idea that the analysis of large amount of data by means of an algorithm of compression is equivalent to the knowledge one can have from scientific laws, is rather naive. In particular we discuss the subtle conceptual topic of the initial conditions of phenomena which are generally incompressible. Starting from this point, we argue that laws of nature represent more than a pure compression of data, and that the availability of large amount of data, in general, is not particularly useful to understand the behaviour of complex phenomena.

Comments: 19 Pages, No figures, published on Foundation of Physics
Related articles: Most relevant | Search more
Role of initial conditions in $1D$ diffusive systems: compressibility, hyperuniformity and long-term memory
arXiv:cond-mat/0401582 (Published 2004-01-28)
Dynamical anomalies and the role of initial conditions in the HMF model
arXiv:cond-mat/0307465 (Published 2003-07-18)
The role of the Becchi-Rouet-Stora-Tyutin supersymmetry in the calculation of the complexity for the Sherrington-Kirkpatrick model