Doubly Special Relativity as a Limit of Gravity

Abstract

Doubly Special Relativity (DSR) is a theory with two observer-independent scales, of velocity and mass, which is expected to replace Special Relativity at ultra-high energies. In these notes we first discuss the postulates of DSR, and then turn to presenting arguments supporting the hypothesis that DSR can be regarded as a flat space, semiclassical limit of gravity. The notes are based on the talk presented at the conference ``Special Relativity -- Will it Survive the Next 100 Years?''

26 pages, Submitted to Lecture Notes in Physics

References in corpus (29)

• Lorentz-Violating Extension of the Standard Model
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Testable scenario for Relativity with minimum-length
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Signals for Lorentz Violation in Electrodynamics
• Generalized Lorentz invariance with an invariant energy scale
• Ultraviolet modifications of dispersion relations in effective field theory
• Quantum gravity corrections to neutrino propagation
• Classical and Quantum Mechanics of Free \k Relativistic Systems
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Loop quantum gravity and light propagation
• Introduction to Doubly Special Relativity
• Deformed Boost Transformations That Saturate at the Planck Scale
• Observer-independent quanta of mass and length
• Lorentz and CPT tests with spin-polarized solids
• Quantum Mechanics of a Point Particle in 2+1 Dimensional Gravity
• De Sitter space as an arena for Doubly Special Relativity
• Doubly Special Relativity and de Sitter space
• 2+1 gravity and Doubly Special Relativity
• Deformed Coordinate Spaces; Derivatives
• Quantum gravity in terms of topological observables
• Falsifiable predictions from semiclassical quantum gravity
• Real Forms of Complex Quantum Anti de Sitter Algebra $U_q(Sp(4,C))$ and their Contraction Schemes
• General relativity with a topological phase: an action principle
• A Quantum Gravitational Relaxation of The Cosmological Constant
• Phase spaces of Doubly Special Relativity
• On alternative approaches to Lorentz violation in loop quantum gravity inspired models
• Gauge Theories and Fibre Bundles - Applications to Particle Dynamics

Cited by in corpus (8)

• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Effects of quantum gravity on black holes
• The Free Particle in Deformed Special Relativity
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Coherent States for 3d Deformed Special Relativity: semi-classical points in a quantum flat spacetime
• Effective Chern-Simons actions of particles coupled to 3D gravity
• A Field Theory Model With a New Lorentz-Invariant Energy Scale