Generalized Finsler geometry and its Cartan connection in modification of special relativity

Details Generalized Finsler geometry and its Cartan connection in modification of special relativity Generalized Finsler geometry and its Cartan connection in modification of special relativity

2002-08-11

arxiv.org/abs/physics/0208047v2

Physics

General Physics

6 pages with no figure

Scientific paper

The generalized Finsler geometry, as well as Finsler geometry, is a generalization of Riemann geometry. The generalized Finsler geometry can be endowed with the Cartan connection. The generalized Finsler geometry and its Cartan connection are, as the necessary mathematical tools, involved in our modification of special relativity, which is made by assuming the generalized Finslerian structures of gravity-free space and time in the usual inertial coordinate system and combining this assumption with two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the speed of light in all inertial frames of reference.

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