Doubly-Special Relativity: First Results and Key Open Problems

2002/10/18 by Giovanni Amelino-Camelia, GIOVANNI AMELINO-CAMELIA · 39 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1142/s021827180200302x

published as Int.J.Mod.Phys. D11 (2002) 1643 · 29 pages

arxiv created 2002/10/18 · arxiv updated 2009/11/30

Abstract

I examine the results obtained so far in exploring the recent proposal of theories of the relativistic transformations between inertial observers that involve both an observer-independent velocity scale and an observer-independent length/momentum scale. I also discuss what appear to be the key open issues for this research line.

Citations

• A time varying speed of light as a solution to cosmological puzzles
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Cited by

• The Box-Problem in Deformed Special Relativity
• Klein–Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Thermodynamics of novel charged dilaton black holes in gravity's rainbow
• Generalized Uncertainty Principle and Quantum Gravity Phenomenology
• Finite temperature R-squared quantum gravity
• On a New 4-Vector Cosmological Field Theory
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Maximum force and minimum distance: physics in limit statements
• Comments on Nonlocality in Deformed Special Relativity, in reply to arXiv:1004.0664 by Lee Smolin and arXiv:1004.0575 by Jacob et al
• Bigravity: a bimetric model of the Universe with variable constants, inluding VSL (variable speed of light)
• Principle of relative locality
• Time delay of light signals in an energy-dependent spacetime metric
• A new doubly special relativity theory from a quantum Weyl–Poincaré algebra
• Three questions on Lorentz violation
• UNDEFORMED (ADDITIVE) ENERGY CONSERVATION LAW IN DOUBLY SPECIAL RELATIVITY
• Modified dispersion relations and black hole entropy
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• Relativity principle with a low energy invariant scale
• Analogue quantum gravity phenomenology from a two-component Bose–Einstein condensate
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Bounds on an Energy-Dependent and Observer-Independent Speed of Light from Violations of Locality
• Quantum-Spacetime Phenomenology
• Three-dimensional gravity and Drinfel'd doubles: Spacetimes and symmetries from quantum deformations
• Winterberg’s Conjectured Breaking of the Superluminal Quantum Correlations over Large Distances
• New varying speed of light theories
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND DOUBLY SPECIAL RELATIVITY
• Gravitational decoherence
• Modifications to Lorentz invariant dispersion in relatively boosted frames
• Beyond special relativity at second order
• Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow
• Events in a noncommutative space-time
• Scale Relativity and Fractal Space-Time: Theory and Applications
• UNIVERSAL ENTROPY BOUND AND DISCRETE SPACETIME
• Derivation of the Dirac equation from principles of information processing
• A fluctuating energy–momentum may produce an unstable world
• Relative-locality distant observers and the phenomenology of momentum-space geometry
• Probing Planck-scale physics with quantum optics
• Harmonic oscillator with minimal length uncertainty relations and ladder operators
• On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions

Related

• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Doubly Special Relativity: A Kinematics of Quantum Gravity?
• A new perspective on Doubly Special Relativity
• Doubly Special Relativity: facts and prospects
• Beyond special relativity and the notion of spacetime