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Note About Relational Mechanics of General Forms of Particle Actions

High Energy Physics - Theory 2026-04-14 v1

Abstract

In this short note we show that any action for NN interacting particles can be made invariant under gauged Galilean transformations. While resulting Lagrangian is generally very complicated its Hamiltonian has simple form with first class constraints which are generators of corresponding gauge transformations included.

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Cite

@article{arxiv.2604.09655,
  title  = {Note About Relational Mechanics of General Forms of Particle Actions},
  author = {J. Kluson},
  journal= {arXiv preprint arXiv:2604.09655},
  year   = {2026}
}

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11 pages