27,854 research outputs found
GSBS News, Spring 2015
Cover image by artist Syd Moen; Benefactor News: Smithville fundraiser supports GSBS fellow; New endowment to support MD/PhD Program; Coming full circle: developing and promoting a Core Curriculum; Celebrating 50 Years of Excellence: GSBS Alumni All-Stars shine at Super Panel and 2013 Reunion; Faculty Membership Report; Faculty News: Dr. Vicki Knutson retires; GSBS Outreach Council hosts community Science Night; Student News; 2013-2014 Student Awards; Alumni News; Message to Alumn
Gauging Newton's Law
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.Comment: 44 pages, no figures, LaTe
- …
