Five-Dimensional Mechanics as the Starting Point for the Magueijo-Smolin Doubly Special Relativity
arXiv:1106.5397 · doi:10.1016/j.physletb.2011.06.078
Abstract
We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.
arXiv comment5 pages, published in Physics Letters B
References in corpus (19)
- Discreteness of area and volume in quantum gravity
- Lorentz invariance with an invariant energy scale
- Generalized Lorentz invariance with an invariant energy scale
- Gravity's Rainbow
- Doubly Special Relativity
- Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV- paradoxes
- Invariance Violation Extends the Cosmic Ray Horizon ?
- Prospects for constraining quantum gravity dispersion with near term observations
- De Sitter space as an arena for Doubly Special Relativity
- Doubly Special Relativity and de Sitter space
- Non-Linear Relativity in Position Space
- Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms
- The Free Particle in Deformed Special Relativity
- Doubly special relativity in de Sitter spacetime
- Could quantum gravity be tested with high intensity Lasers?
- Doubly Special Relativity and Finsler geometry
- Doubly Special Relativity in Position Space Starting from the Conformal Group
- Position space versions of Magueijo-Smolin doubly special relativity proposal and the problem of total momentum
- Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications