Doubly-Special Relativity: First Results and Key Open Problems

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.

29 pages

References in corpus (26)

• Noncommutative Field Theory
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Nonstandard optics from quantum spacetime
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Extension of the Cosmic-Ray Energy Spectrum Beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff
• A time varying speed of light as a solution to cosmological puzzles
• Quantum gravity corrections to neutrino propagation
• Classical and Quantum Mechanics of Free \k Relativistic Systems
• Doubly Special Relativity
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
• Cosmologies with Varying Light-Speed
• Limits to Quantum Gravity Effects from Observations of TeV Flares in Active Galaxies
• String Theory Modifies Quantum Mechanics
• Invariance Violation Extends the Cosmic Ray Horizon ?
• Deformed Boost Transformations That Saturate at the Planck Scale
• Observer-independent quanta of mass and length
• An infrared background--TeV gamma-ray crisis?
• Wave-Particle duality at the Planck scale: Freezing of neutrino oscillations
• Pion Production from Baked-Alaska Disoriented Chiral Condensate
• Scalar-Tensor Gravity Theory For Dynamical Light Velocity
• Enlarged Bound on the Measurability of Distances and Quantum $\kappa$-Poincarè Group
• A Simple Deformation of Special Relativity

Cited by in corpus (180)

• Analogue Gravity
• Modern tests of Lorentz invariance
• Minimal Length Scale Scenarios for Quantum Gravity
• Quantum Spacetime Phenomenology
• Probing Planck-scale physics with quantum optics
• The principle of relative locality
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• New varying speed of light theories
• Generalized Uncertainty Principle: Approaches and Applications
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Quantum Uncertainty in Doubly Special Relativity
• Gravitational Decoherence
• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• Review on Generalized Uncertainty Principle
• Prospects for constraining quantum gravity dispersion with near term observations
• Probing deformed commutators with macroscopic harmonic oscillators
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Derivation of the Dirac Equation from Principles of Information Processing
• Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
• Lorentz violation from cosmological objects with very high energy photon emissions
• On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
• Harmonic oscillator with minimal length uncertainty relations and ladder operators
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Modifications to Lorentz invariant dispersion in relatively boosted frames
• Relative-locality distant observers and the phenomenology of momentum-space geometry
• Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Constraints on Lorentz invariance violation from gamma-ray burst GRB090510
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Constraining the generalized uncertainty principle with cold atoms
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Scale relativity and fractal space-time: theory and applications
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• Generalized Uncertainty Principle and Angular Momentum
• Modified Dispersion Relations and Black Hole Entropy
• Rigorous Hamiltonian and Lagrangian analysis of classical and quantum theories with minimal length
• Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light
• Relativistic kinematics beyond Special Relativity
• Scalar field theory on $\kappa$-Minkowski space-time and Doubly Special Relativity
• Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• A non-commutative Minkowskian spacetime from a quantum AdS algebra
• The minimally extended Varying Speed of Light (meVSL)
• Generalized uncertainty principle or curved momentum space?
• On reaction thresholds in doubly special relativity
• Photon Gas Thermodynamics in Doubly Special Relativity
• Kinematical solution of the UHE-cosmic-ray puzzle without a preferred class of inertial observers
• Could quantum gravity be tested with high intensity Lasers?
• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Probing the quantum-gravity realm with slow atoms
• Particles in Loop Quantum Gravity formalism: a thermodynamical description
• Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations
• Quantum Gravity Phenomenology and Lorentz Violation
• A freely falling frame at the interface of gravitational and quantum realms
• Doubly special relativity and translation invariance
• The Soccer-Ball Problem
• KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Deformed Special Relativity in Position Space
• Thermodynamics of Ideal Gas in Doubly Special Relativity
• Deformed Special Relativity with an energy barrier of a minimum speed
• Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
• Neutrino Oscillations and Lorentz Invariance Violation
• Homogeneously Modified Special Relativity (HMSR) -- A new possible way to introduce an isotropic Lorentz Invariance Violation in particle Standard Model
• Drinfel'd doubles for (2+1)-gravity
• Doubly Special Relativity with a minimum speed and the search for a quantum gravity at low energies
• On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions
• Astrophysical Bounds on Planck Suppressed Lorentz Violation
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Electric Chern-Simons term, enlarged exotic Galilei symmetry and noncommutative plane
• Testing Generalised Uncertainty Principles through Quantum Noise
• Black Hole Corrections due to Minimal Length and Modified Dispersion Relation
• Beyond Special Relativity at second order
• On alternative approaches to Lorentz violation in loop quantum gravity inspired models
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• Modelling Planck-scale Lorentz violation via analogue models
• The Box-Problem in Deformed Special Relativity
• Doubly Special Relativity with a minimum speed and the Uncertainty Principle
• Free q-Deformed Relativistic Wave Equations by Representation Theory
• Revisiting Lorentz invariance violation from GRB 221009A
• Searching Lorentz invariance violation from cosmic photon attenuation
• Threshold anomalies of ultra-high energy cosmic photons due to Lorentz invariance violation
• Does a deformation of special relativity imply energy dependent photon time delays?
• An explanation for the tiny value of the cosmological constant and the low vacuum energy density
• Lorentz Violation in Warped Extra Dimensions
• Approaching Space Time Through Velocity in Doubly Special Relativity
• Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
• Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics
• Long time black hole evaporation with bounded Hawking flux
• A note on DSR-like approach to space-time
• Relative-locality effects in Snyder spacetime
• On the spacetime connecting two aeons in conformal cyclic cosmology
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• Particle and Antiparticle sectors in DSR1 and kappa-Minkowski space-time
• Probing Planck Scale Spacetime By Cavity Opto-Atomic ${}^{87}$Rb Interferometry
• Lorentz invariant mass and length scales
• Spacetime and deformations of special relativistic kinematics
• On the Lorentz Transformations of Momentum and Energy
• Modified entropies as the origin of generalized uncertainty principles
• $\kappa$-deformed phase spaces, Jordanian twists, Lorentz-Weyl algebra and dispersion relations
• Evaluation of physical properties of Kiselev like AdS spacetime in the context of $f(R,T)$ gravity under the impact of quantum gravity
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology
• Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
• A new Doubly Special Relativity theory from a quantum Weyl-Poincare algebra
• Zeno meets modern science
• Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity
• On the Fock Transformation in Nonlinear Relativity
• Energy-dependent intrinsic time delay of gamma-ray bursts on testing Lorentz invariance violation
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
• Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
• Constraints from cosmic rays on non-systematic Lorentz violation
• Comments on Nonlocality in Deformed Special Relativity, in reply to arXiv:1004.0664 by Lee Smolin and arXiv:1004.0575 by Jacob et al
• Eikonal equation of the Lorentz-violating Maxwell theory
• Time delay of light signals in an energy-dependent spacetime metric
• Three Questions on Lorentz Violation
• Lorentz Invariance Violation from Gamma-Ray Bursts
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• A Projective Interpretation of Some Doubly Special Relativity Theories
• Asymptotic approach to Special Relativity compatible with a relativistic principle
• Universal entropy bound and discrete space-time
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
• Supersymmetric Field Theory Based on Generalized Uncertainty Principle
• Events in a Non-Commutative Space-Time
• Absorption cross section in gravity's rainbow from confluent Heun equation
• Note on a new fundamental length scale $l$ instead of the Newtonian constant $G$
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
• Schwinger's Model of Angular Momentum with GUP
• Undeformed (additive) energy conservation law in Doubly Special Relativity
• Observers and Measurements in Noncommutative Spacetimes
• Maximum force and minimum distance: physics in limit statements
• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
• On the electrodynamics of moving particles in a quasi flat spacetime with Lorentz violation and its cosmological implications
• Examining Lorentz invariance violation with three remarkable GRB photons
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Note on uncertainty relations in doubly special relativity and rainbow gravity
• Quantum Noncanonical Field Theory: Symmetries and Interaction
• Generalized Uncertainty Principle and Quantum Gravity Phenomenology
• Past and future blurring at fundamental length scale
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Bigravity: a bimetric model of the Universe with variable constants, inluding VSL (variable speed of light)
• Monte Carlo simulation of GRB data to test Lorentz-invariance violation
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• de Sitter relativity: a natural scenario for an evolving Lambda
• Invariant lengths using existing Special Relativity
• Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background
• Weak equivalence principle and nonrelativistic limit of general dispersion relations
• Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
• Modified energy-momentum conservation laws and vacuum Cherenkov radiation
• Moving Schwarzschild Black Hole and Modified Dispersion Relations
• A fluctuating energy-momentum may produce an unstable world
• Thermal properties of Klein-Gordon Oscillator in the Context of Amelino-Camelia and Magueijo-Smolin Doubly Special Relativity (DSR) frameworks
• Fate of $\kappa$-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
• Quantization of Spacetime Based on Spacetime Interval Operator
• Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lemaître-Robertson-Walker Metric
• Relativity principle with a low energy invariant scale
• Effect of Quantum Gravity on Specific Heat of Solid
• Total momentum and other Noether charges for particles interacting in a quantum spacetime
• Fuzzy Fluid Mechanics in Three Dimensions
• Winterberg's conjectured breaking of the superluminal quantum correlations over large distances
• $\kappa$-Poincaré phase space: speed of massless particles and relativity of spacetime locality
• Effective action in DSR1 quantum field theory
• Quantum-Gravity phenomenology and high energy particle propagation
• Perturbative Symmetries on Noncommutative Spaces
• On the Meaning of Localization in Non-Local Quantum Field Theory
• Comparison of the nonrelativistic limit of Amelino-Camelia and MS Doubly Special Relativity
• Phonons mimicking doubly special relativity kinematics
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
• Quantum speed limit as a sensitive probe of Planck-scale effects
• KG- oscillators in a spinning cosmic string spacetime and an external magnetic field
• Relativistic electrodynamics with a universal length scale
• The Measurement of Time
• The small-scale structure of quantum spacetime
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction
• Finite temperature R-squared quantum gravity
• Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories
• On a New 4-Vector Cosmological Field Theory
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity