Generalized Finsler geometry and its Cartan connection in modification of special relativity
Abstract
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 gravityfree 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.
 Publication:

arXiv eprints
 Pub Date:
 August 2002
 DOI:
 10.48550/arXiv.physics/0208047
 arXiv:
 arXiv:physics/0208047
 Bibcode:
 2002physics...8047L
 Keywords:

 Physics  General Physics
 EPrint:
 6 pages with no figure