Exploring Special Relative Locality with deSitter momentum-space

Abstract

Relative Locality is a recent approach to the quantum-gravity problem which allows to tame nonlocality effects which may rise in some models which try to describe Planck-scale physics. I here explore the effect of Relative Locality on basic special-relativistic phenomena. In particular I study the deformations due to Relative Locality of special-relativistic transformation laws for momenta at all orders in the rapidity parameter $\xi$. I underline how those transformations also define the RL characteristic (momentum-dependent) invariant metric. I focus my analysis on the well studied deSitter momentum-space framework and I investigate the differences and similarities between this model and Special Relativity, from the definition of the boost parameter $\gamma$ to a first discussion of transverse-effects characteristic of Relative Locality on clocks observables.

9 pages, 2 figures

References in corpus (4)

• Prospects for constraining quantum gravity dispersion with near term observations
• Classical kinematics for Lorentz violation
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Longitudinal and transverse relativity of spacetime locality in Planck-scale-deformed phase spaces

Cited by in corpus (7)

• Realization of DSR-relativistic symmetries in Finsler geometries
• Investigation on Finsler geometry as a generalization to curved spacetime of Planck-scale-deformed relativity in the de Sitter case
• Noncommutative Spaces and Poincaré Symmetry
• Planck-scale-modified dispersion relations in homogeneous and isotropic spacetimes
• Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics
• Dispersion relations in finite-boost DSR
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency