2000/08/07 by Ariel Caticha · 21 citations
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Classical mechanics #Complex Systems and Time Series Analysis #Computer science #Dynamics (music) #Entropy (arrow of time) #Geometry #Information geometry #Kullback–Leibler divergence #Mathematics #Neural Networks and Applications #Physics #Principle of maximum entropy #Quantum mechanics #Second law of thermodynamics #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Statistics #Stochastic process #cond-mat.stat-mech #gr-qc #math-ph #math.MP #math.PR #msc:54C70 #msc:82C00 #msc:82C35
paper · pdf · doi:10.1063/1.1381872
published in AIP conference proceedings 568, 72-82 (American Institute of Physics) · Presented at MaxEnt 2000, the 20th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2000, Gif-sur-Yvette, France)
arxiv created 2000/08/07 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is “fundamental” and deterministic or “phenomenological” and stochastic, all changes are described relative to an external time. Here we show that once we define what we are talking about, namely, the system, its states and a criterion to distinguish among them, there is a single, unique, and natural dynamical law for irreversible processes that is compatible with the principle of maximum entropy. In this alternative dynamics changes are described relative to an internal, “intrinsic” time which is a derived, statistical concept defined and measured by change itself. Time is quantified change.