Doubly special relativity and Finsler geometry

S. Mignemi
Phys. Rev. D 76, 047702 – Published 2 August 2007

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.

  • Received 19 April 2007

DOI:https://doi.org/10.1103/PhysRevD.76.047702

©2007 American Physical Society

Authors & Affiliations

S. Mignemi*

  • Dipartimento di Matematica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy and INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy

  • *smignemi@unica.it

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Issue

Vol. 76, Iss. 4 — 15 August 2007

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