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Doubly special relativity and Finsler geometry
Phys. Rev. D 76, 047702 – Published 2 August, 2007
DOI: https://doi.org/10.1103/PhysRevD.76.047702
Abstract
We discuss the recent proposal of implementing doubly special relativity in configuration space by means of Finsler geometry. Although this formalism leads to a consistent description of the dynamics of a particle, it does not seem to give a complete description of the physics. In particular, the Finsler line element is not invariant under the deformed Lorentz transformations of doubly special relativity. We study in detail some simple applications of the formalism.
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References (13)
- F. Girelli, S. Liberati, and L. Sindoni, Phys. Rev. D 75, 064015 (2007).
- G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002); Phys. Lett. B 510, 255 (2001).
- J. Lukierski, A. Nowicki, and H. Ruegg, Ann. Phys. (N.Y.) 243, 90 (1995).
- J. Magueijo and L. Smolin, Phys. Rev. Lett. 88, 190403 (2002).
- H. Rund, The Differential Geometry of Finsler Spaces (Springer-Verlag, Berlin, 1959).
- J. Kowalski-Glikman, Mod. Phys. Lett. A 17, 1 (2002).
- S. Mignemi, Phys. Rev. D 68, 065029 (2003); 72, 087703 (2005).
- D. Kimberly, J. Magueijo, and J. Medeiros, Phys. Rev. D 70, 084007 (2004).
- A. A. Deriglazov and B. F. Rizzuti, Phys. Rev. D 71, 123515 (2005).
- For a recent discussion, see A. Agostini, G. Amelino-Camelia, and F. D’Andrea, Int. J. Mod. Phys. A 19, 5187 (2004).
- S. Ghosh, Phys. Rev. D 74, 084019 (2006).
- H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations (Krieger, Huntington, NY, 1973).
- F. Girelli, T. Konopka, J. Kowalski-Glikman, and E. R. Livine, Phys. Rev. D 73, 045009 (2006).