Eclectic Notes on Uncertainty, Information, and Classical Dynamics

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.