Null Lagrangians, Gauge Functions and Forces in Classical Mechanics

Z. E. Musielak, L. C. vestal, B. D. Tran, T. B. Watson

Published 2020-08-12Version 1

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.