
arXiv: hep-th/0305017
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 Hamiltonian mechanics. PACS Nos.: 45.20.Jj, 11.25.Hf, 45.10.–b
High Energy Physics - Theory, gauge theory, High Energy Physics - Theory (hep-th), hamiltonian mechanics, Physics, Physical Sciences and Mathematics, Gauging Newton's Law, FOS: Physical sciences, Newton’s Law, Newton’s Law, quantum theory
High Energy Physics - Theory, gauge theory, High Energy Physics - Theory (hep-th), hamiltonian mechanics, Physics, Physical Sciences and Mathematics, Gauging Newton's Law, FOS: Physical sciences, Newton’s Law, Newton’s Law, quantum theory
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