Remarks on DSR and Gravity

Abstract

Modifications of Special Relativity by the introduction of an invariant energy and/or momentum level (so-called Doubly Special Relativity theories, DSR) or by an energy-momentum dependence of the Planck constant (Generalized Uncertainty Principle, GUP) are compared with classical gravitational effects in an interaction processes. For the low energy limit of the usual formulations of DSR to be equivalent with Newtonian gravity, a restrictive condition is found. GUP yields an effective repulsion, in analogy to the gravitational repulsion in loop quantum cosmology.

13 pages, 1 figure

References in corpus (18)

• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Gravity's Rainbow
• Loop Quantum Cosmology
• Planck-scale modified dispersion relations and Finsler geometry
• De Sitter space as an arena for Doubly Special Relativity
• 2+1 gravity and Doubly Special Relativity
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Observational Limits on Quantum Geometry Effects
• Doubly Special Relativity versus $\kappa$-deformation of relativistic kinematics
• Conservation Laws in Doubly Special Relativity
• On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
• Hopf-algebra description of noncommutative-spacetime symmetries
• Multi-Particle States in Deformed Special Relativity
• On reaction thresholds in doubly special relativity
• Thermal Leptogenesis and Gauge Mediation
• Kinematical solution of the UHE-cosmic-ray puzzle without a preferred class of inertial observers
• Doubly Special Relativity: facts and prospects

Cited by in corpus (3)

• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Variations in the fine structure constant constraining gravity theories