Fiber with Intrinsic Action on a 1+1 Dimensional Spacetime

Details Fiber with Intrinsic Action on a 1+1 Dimensional Spacetime Fiber with Intrinsic Action on a 1+1 Dimensional Spacetime

2000-02-24

arxiv.org/abs/math/0002206v1

Mathematics

Differential Geometry

10 pages, uses: LaTeX2e; Talk presented at the ``International Conference on Clifford Algebras and their Application in Mathem

Scientific paper

I construct an algebraic model for a typical fiber on a 1+1 dimensional spacetime. The vector space comprising the fiber is composed of elements formed from the direct product of two copies of an element x in the D2=C2xC2 finite group algebra over the real numbers. The fiber contains subspaces whose elements are associated with the tangent and momentum vectors of trajectories in the manifold. The fiber also contains a subspace whose elements are associated with the local flow of action of each trajectory. The condition of minimum action translates into a constraint on the original vector x in the direct product structure.

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