Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
arXiv:2008.05564 · doi:10.3390/physics2030024
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.
11 pages