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

@article{Musielak2020GaugeFI,
  title={Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems},
  author={Zdzislaw E. Musielak and L. C. Vestal and Bao Duy Tran and Timothy B. Watson},
  journal={Physics},
  year={2020},
  volume={2},
  pages={425-435}
}
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 allow for 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. 
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