Physics – Classical Physics
Scientific paper
2004-09-25
Physics
Classical Physics
27 pages
Scientific paper
We enrich the configuration space of classical physics with additional co-ordinates (particle state vectors) transformed by local Lorentz and Yang-Mills groups of particle interactions. We reformulate geodesics equations in terms of the parallel transfer of the particle state vector and show that distance on a manifold can be determined as an eigenvalue of a suitably chosen distance one-form. A procedure of distance measurement is revised and shown to be consistent with the proposed approach. Various examples of the distance form are given. We formulate the action principle based on the distance form and apply it to classical particles with spin. It is suggested that the distance form of our space-time is scaled with a Weyl-Higgs field.
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