Finsler Geometry and Relativistic Field Theory
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Scientific Paper | |
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Title | Finsler Geometry and Relativistic Field Theory |
Author(s) | Ralph G Beil |
Keywords | Finsler geometry; unified field theory; tangent bundle; gauge transformation |
Published | 2003 |
Journal | Foundations of Physics |
Volume | 33 |
Number | 7 |
Pages | 1107-1127 |
Abstract
Finsler geometry on the tangent bundle appears to be applicable to relativistic field theory, particularly, unified field theories. The physical motivation for Finsler structure is conveniently developed by the use of ??gauge?? transformations on the tangent space. In this context a remarkable correspondence of metrics, connections, and curvatures to, respectively, gauge potentials, fields, and energy-momentum emerges. Specific relativistic electromagnetic metrics such as Randers, Beil, and Weyl can be compared.