English

Gauging Newton's Law

High Energy Physics - Theory 2009-03-19 v2

Abstract

We derive both Lagrangian and Hamiltonian mechanics as gauge theories of Newtonian mechanics. Systematic development of the distinct symmetries of dynamics and measurement suggest that gauge theory may be motivated as a reconciliation of dynamics with measurement. Applying this principle to Newton's law with the simplest measurement theory leads to Lagrangian mechanics, while use of conformal measurement theory leads to Hamilton's equations.

Keywords

Cite

@article{arxiv.hep-th/0305017,
  title  = {Gauging Newton's Law},
  author = {James T. Wheeler},
  journal= {arXiv preprint arXiv:hep-th/0305017},
  year   = {2009}
}

Comments

44 pages, no figures, LaTeX

R2 v1 2026-07-22T15:16:57.617Z