The Frieden-Soffer Extreme Physical Information Principle in a Non-extensive Setting

TL;DR

This paper extends the Frieden-Soffer Extreme Physical Information principle to non-extensive statistical scenarios, demonstrating its ability to solve classical dynamical problems.

Contribution

It introduces a non-extensive framework for the principle, linking information theory with classical dynamics in new ways.

Findings

Solutions to classical dynamical problems derived from non-extensive information principles

Extension of the Extreme Physical Information principle to non-extensive statistics

Demonstration of the principle's applicability beyond traditional settings

Abstract

We show that the Frieden and Soffer's Extreme Physical Information principle, applied to a non-extensive {\it statistical} scenario, yields solutions to several well-known classical {\it dynamical} problems.