On the Notion of Semi-Randers Space

Details On the Notion of Semi-Randers Space On the Notion of Semi-Randers Space

2009-06-10

arxiv.org/abs/0906.1940v4

Physics

Mathematical Physics

This paper has been withdrawn by the author

Scientific paper

The two currents frameworks for indefinite Finslerian spaces-times are introduced. We discuss some of the limitations of both formalisms, in particular the notion of semi-Randers. The key point is the issue of the gauge invariance associated with gauge transformations of the 1-form appearing in the Randers function. Therefore gauge invariance spoils the {\it space-time metric interpretation} and {\it Lagrangian interpretation} of a Randers space. Instead, we argue in favor of a sheaf formulation of the classical dynamics.

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