Eclectic Notes on Uncertainty, Information, and Classical Dynamics

TL;DR

This paper explores the formal meaning of information by quantifying uncertainty and examining its role in classical and statistical mechanics, offering a unique perspective on physics through information theory.

Contribution

It provides an overview of how information theory concepts can be applied to understand uncertainty in classical physics, emphasizing the natural emergence of information in physical systems.

Findings

Information quantification clarifies uncertainty in physics

Information theory offers a novel viewpoint in classical and statistical mechanics

Highlights the pervasive role of information in physical phenomena

Abstract

Information is everywhere in nature which is very uncertain and unpredictable. But information, in itself, is a very ambiguous term. In this cursory write-up, we attempt to understand the formal meaning of information by quantifying uncertainty and discuss how it naturally appears in two core topics of classical physics -- classical mechanics and statistical mechanics. In the process, we witness how the concepts of the information theory render a unique viewpoint in physics. Except for the presentation of the material, the author claims no originality; however, the responsibility of every inadvertent error lies entirely with the author.