| Issue |
EPL
Volume 150, Number 3, May 2025
|
|
|---|---|---|
| Article Number | 33002 | |
| Number of page(s) | 5 | |
| Section | Fluid and nonlinear dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/adcc4b | |
| Published online | 14 May 2025 | |
Fundamental roles of gauge functions in classical dynamics
1 Department of Physics and Earth Space Science, The University of Indianapolis - Indianapolis, IN 46227, USA
2 Department of Physics, The University of Texas at Arlington - Arlington, TX 76019, USA
Received: 3 January 2025
Accepted: 14 April 2025
This letter demonstrates that scalar gauge functions give the most fundamental description of classical dynamical systems as such functions allow to construct Lagrangians for the systems, and to predict the future dynamical states of these systems, including their transitions from the periodic to non-periodic (chaotic) states, without solving the equations of motion.
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