Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems

TL;DR

This paper introduces gauge functions in classical mechanics, demonstrating how they influence energy and enable transformation of undriven systems into driven ones, akin to gauge roles in quantum theories.

Contribution

It presents a novel approach to classical mechanics by defining gauge functions that modify energy and induce driven dynamics, a new phenomenon in the field.

Findings

Gauge functions directly affect the energy function.

They enable converting undriven systems into driven systems.

The phenomenon resembles gauge roles in quantum field theories.

Abstract

Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and that they allow converting an undriven physical system into a driven one. This is a novel phenomenon in dynamics that resembles the role of gauges in quantum field theories.