Ergontropic Dynamics -- Contribution for an Extended Particle Dynamics

TL;DR

This paper introduces a novel framework called Ergontropic Dynamics that modifies Newton's equations by integrating energy minimization and entropy maximization principles, offering a new perspective on physical phenomena and variational problems.

Contribution

It presents a new theoretical approach that extends particle dynamics by incorporating entropy and energy principles into the fundamental equations of motion.

Findings

Provides a modified form of Newton's equations grounded in energy and entropy.

Offers a unified description of translation and vortical motion.

Enhances the solution of variational problems with the new framework.

Abstract

A vast concourse of events and phenomena occur in nature that may be interrelated by a entropy-maximization technique that provides a comprehensible explanation of a range of physical problems, integrating in a new framework the universal tendency of energy to a minimum and entropy to a maximum. The outcome is a modification of Newton's dynamical equation of motion, grounding the principles of mechanics on the concepts of energy and entropy, instead on the usual definition of force, integrating into a consistent framework the description of translation and vortical motion. The new method offers a fresh approach to traditional problems and can be applied with advantage in the solution of variational problems.