Doubly Special Relativity

Abstract

I give a short non-technical review of the results obtained in recent work on "Doubly Special Relativity", the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two observer-independent scales (the familiar velocity scale, $c$, and a new observer-independent length/momentum scale, naturally identified with the Planck length/momentum). I emphasize the aspects relevant for the search of a solution to the cosmic-ray paradox.

Invited piece for the N&V section of Nature. 5 pages, LaTex

Cited by in corpus (264)

• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Minimal Length Scale Scenarios for Quantum Gravity
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• Generalized Lorentz invariance with an invariant energy scale
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Signatures in the Planck Regime
• Doubly-Special Relativity: First Results and Key Open Problems
• Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
• New varying speed of light theories
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
• Black Hole Based Tests of General Relativity
• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• Prospects for constraining quantum gravity dispersion with near term observations
• De Sitter space as an arena for Doubly Special Relativity
• Geometry and field theory in multi-fractional spacetime
• Tests of General Relativity with GWTC-3
• Generalized Uncertainty Principle and Corpuscular Gravity
• The Science Case for LIGO-India
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Self-consistency in Theories with a Minimal Length
• Observational constraints on loop quantum cosmology
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Waveform of gravitational waves in the general parity-violating gravities
• Topics in Noncommutative Geometry Inspired Physics
• Running Coupling with Minimal Length
• Exact solution of vacuum field equation in Finsler spacetime
• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Bounds on an energy-dependent and observer-independent speed of light from violations of locality
• Quantum Gravity and Lorentz invariance violation in the Standard Model
• Quantum Time Uncertainty in a Gravity's Rainbow Formalism
• Effects of quantum gravity on black holes
• Bimetric varying speed of light theories and primordial fluctuations
• Multifractional theories: an unconventional review
• On Special Relativity with Cosmological Constant
• A New Test of Lorentz Invariance Violation: the Spectral Lag Transition of GRB 160625B
• Parameterized and inspiral-merger-ringdown consistency tests of gravity with multi-band gravitational wave observations
• Analogue simulations of quantum gravity with fluids
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• OPERA-reassessing data on the energy dependence of the speed of neutrinos
• Quantum-gravity-motivated Lorentz-symmetry tests with laser interferometers
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Spontaneous Breaking of Lorentz Invariance
• Models of Baryogenesis via Spontaneous Lorentz Violation
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• Deformed General Relativity
• On the non-attractive character of gravity in f(R) theories
• Snyder noncommutative space-time from two-time physics
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• Spontaneous Violation of Lorentz Invariance and Ultra-High Energy Cosmic Rays
• GUP-based and Snyder Non-Commutative Algebras, Relativistic Particle models and Deformed Symmetries: A Unified Approach
• Remarks on nonlinear Electrodynamics
• Finite Field-Energy and Interparticle Potential in Logarithmic Electrodynamics
• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• Testing General Relativity with Gravitational Waves: An Overview
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Large-scale non-locality in "doubly special relativity" with an energy-dependent speed of light
• Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
• PT-symmetric noncommutative spaces with minimal volume uncertainty relations
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Deformed Special Relativity as an effective theory of measurements on quantum gravitational backgrounds
• On reaction thresholds in doubly special relativity
• Quantum reference frames and deformed symmetries
• Generalized uncertainty principle or curved momentum space?
• The Raychaudhuri equation in homogeneous cosmologies
• High temperature dimensional reduction in Snyder space
• Stringent Tests of Lorentz Invariance Violation from LHAASO Observations of GRB 221009A
• Kinematical solution of the UHE-cosmic-ray puzzle without a preferred class of inertial observers
• Constraints on rainbow gravity functions from black hole thermodynamics
• Bimetric structure formation: non-Gaussian predictions
• Could quantum gravity be tested with high intensity Lasers?
• Thermodynamics of Photon Gas with an Invariant Energy Scale
• About Locality and the Relativity Principle Beyond Special Relativity
• Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Deformed relativistic kinematics on curved spacetime -- a geometric approach
• Length Uncertainty in a Gravity's Rainbow Formalism
• A freely falling frame at the interface of gravitational and quantum realms
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Conformal Invariance in noncommutative geometry and mutually interacting Snyder Particles
• kappa-Minkowski representations on Hilbert spaces
• Gauge theories on quantum spaces
• The Soccer-Ball Problem
• DSR as an explanation of cosmological structure
• Quantum Gravity induced Lorentz invariance violation in the Standard Model:hadrons
• On Modified Dispersion Relations and the Chandrasekhar Mass Limit
• Spacetime singularity resolution in Snyder noncommutative space
• Testing Lorentz Invariance of Gravity in the Standard Model Extension with GWTC-3
• Thermodynamics of Ideal Gas in Doubly Special Relativity
• First Combined Study on LIV from Observations of Energy-dependent Time Delays from Multiple-type Gamma-ray Sources -- Part I. Motivation, Method Description and Validation through Simulations of H.E.S.S., MAGIC and VERITAS Datasets
• Deviation from the Standard Uncertainty Principle and the Dark Energy Problem
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• Relativistic Thermodynamics with an Invariant Energy Scale
• DSR Relativistic Particle in a Lagrangian formulation and Non-Commutative Spacetime: A Gauge Independent Analysis
• Towards the map of quantum gravity
• Modeling transverse relative locality
• $\kappa$-Poincaré invariant orientable field theories at 1-loop
• Deformed Special Relativity with an energy barrier of a minimum speed
• Homogeneously Modified Special Relativity (HMSR) -- A new possible way to introduce an isotropic Lorentz Invariance Violation in particle Standard Model
• Polymeric Quantization and Black Hole Thermodynamics
• Doubly Special Relativity with a minimum speed and the search for a quantum gravity at low energies
• The emergence of Special and Doubly Special Relativity
• Gauge theories on $\kappa$-Minkowski spaces: Twist and modular operators
• Inertial frames without the relativity principle
• Projected constraints on the dispersion of gravitational waves using advanced ground- and space-based interferometers
• The $AdS$ particle
• Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
• Special Relativity induced by Granular Space
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• UV and IR quantum-spacetime effects for the Chandrasekhar model
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• The classical ether-drift experiments: a modern re-interpretation
• Modified Special Relativity on a fluctuating spacetime
• Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
• Reconciling a quantum gravity minimal length with lack of photon dispersion
• Constraints on the deformation scale of a geometry in the cotangent bundle
• Significantly super-Chandrasekhar mass-limit of white dwarfs in noncommutative geometry
• Towards a new approach to quantum gravity phenomenology
• Gravity's rainbow: a bridge between LQC and DSR
• Deformed Special Relativity from Asymptotically Safe Gravity
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Gravity in quantum spacetime
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Doubly Special Relativity with a minimum speed and the Uncertainty Principle
• Lorentz violating extension of the Standard Model and the Beta-decay end-point
• Possible quantum gravity effects on the gravitational deflection of light
• An explanation for the tiny value of the cosmological constant and the low vacuum energy density
• Approaching Space Time Through Velocity in Doubly Special Relativity
• Lorentz Violation in Warped Extra Dimensions
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
• Minimal and maximal lengths from position-dependent noncommutativity
• New universality classes for generic higher character Lifshitz points
• Quantum gravity without vacuum dispersion
• On the spacetime connecting two aeons in conformal cyclic cosmology
• Testing Lorentz symmetry violation with an invariant minimum speed
• Noncommutative Geometry and Fluid Dynamics
• Indirect Probe of Quantum Gravity using Molecular Wave-packets
• Gravitational wave constraints on non-birefringent dispersions of gravitational waves due to Lorentz violations with GWTC-3
• Lorentz invariance violation and electromagnetic field in an intrinsically anisotropic spacetime
• Canonical Realizations of Doubly Special Relativity
• Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity
• Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework
• Black-hole horizons in modified space-time structures arising from canonical quantum gravity
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
• On the Fock Transformation in Nonlinear Relativity
• Energy-dependent intrinsic time delay of gamma-ray bursts on testing Lorentz invariance violation
• Dirac neutrino mass from the beta decay end-point modified by the dynamics of a Lorentz-violating equation of motion
• Emergent matter from 3d generalised group field theories
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Scale-invariant cosmology in de Sitter gauge theory
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Lorentz violation with a universal minimum speed as foundation of de Sitter relativity
• Lorentz Invariance Violation from Gamma-Ray Bursts
• Decay of superluminal neutrinos in the collinear approximation
• Line element in quantum gravity: the examples of DSR and noncommutative geometry
• Constraints on Lorentz-invariance violation in the neutrino sector from the ultrahigh-energy event KM3-230213A
• Noncommutative spaces and covariant formulation of statistical mechanics
• Space and time transformations with a minimal length
• Impact of Cosmology on Lorentz Invariance Violation Constraints from GRB Time-Delays
• Backreaction mechanism in multifluid and extended cosmologies
• Lorentz violation with an invariant minimum speed as foundation of the uncertainty principle in Minkowski, dS and AdS spaces
• Cosmic ray threshold in an asymptotically dS spacetime
• The Abelian Higgs model and a minimal length in an un-particle scenario
• Cosmological Model Independent Time Delay Method
• Examining Lorentz invariance violation with three remarkable GRB photons
• Non-universal relativistic kinematics
• On the electrodynamics of moving particles in a quasi flat spacetime with Lorentz violation and its cosmological implications
• The Quantum Gravity Disk: Discrete Current Algebra
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Laser interferometer response to scalar massive gravitational waves
• Mixing coproducts for theories with particle-dependent relativistic properties
• Entropy bound for the photon gas in noncommutative spacetime
• Weakness of accelerator bounds on electron superluminality without a preferred frame
• Field theories on $\rho$-deformed Minkowski space-time
• Maxwell's equations in the context of the Fock transformation and the magnetic monopole
• $\kappa$-Minkowski and Snyder algebra from reparametrisation symmetry
• Monte Carlo simulation of GRB data to test Lorentz-invariance violation
• Linear-Quadratic GUP and Thermodynamic Dimensional Reduction
• Recent LIGO-Virgo discoveries
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Visible Energy Alternative to Dark Energy
• Early universe thermostatistics in curved momentum spaces
• Exact form of Maxwell's equations and Dirac's magnetic monopole in Fock's nonlinear relativity
• A Field Theory Model With a New Lorentz-Invariant Energy Scale
• Doubly special relativity as a non-local quantum field theory
• Heisenberg Evolution in a Quantum Theory of Noncommutative Fields
• New constraints on space-time Planck scale fluctuations from established high energy astronomy observations
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• A fluctuating energy-momentum may produce an unstable world
• Moving Schwarzschild Black Hole and Modified Dispersion Relations
• Five-Dimensional Mechanics as the Starting Point for the Magueijo-Smolin Doubly Special Relativity
• Quantum superpositions of the speed of light
• Planck scale effect on the thermodynamics of photon gas
• The E(2) Particle
• A Special Lorentz Violation Model and a Special Rainbow Function
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• CPT analysis with top physics
• Parameter estimation for a Lorentz invariance violation
• Testing energy non-additivity in white dwarfs
• Squeezing of light from Planck-scale physics
• Particle on a torus knot: a Hamiltonian analysis
• Covariant formulation of Noether's Theorem for translations on kappa-Minkowski spacetime
• Fate of $\kappa$-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
• Non-minimal scalar-tensor theories
• Simulating Electromagnetic Cascades with Lorentz Invariance Violation
• Photon gas thermodynamics in dS and AdS momentum spaces
• Nonlinear transforms of momenta and Planck scale limit
• The Theory of a Quantum Noncanonical Field in Curved Spacetimes
• Another derivation of Weinberg's formula
• Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time
• Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski Spacetime
• On Light-like Deformations of the Poincaré Algebra
• Lorentz-violating gaugeon formalism for rank-2 tensor theory
• Remarks on the interquark potential in the presence of a minimal length
• Lorentz-covariant sampling theory for fields
• An Inflationary Scenario Taking into Account of Possible Dark Energy Effects in the Early Universe
• Ten years of extreme gravity tests of general theory of relativity with gravitational-wave observations
• Testing general relativity with gravitational waves -- improving and extending Modified Dispersion Relation tests
• Lie Particle And Its Batalin-Tyutin Extension
• D-particles and the localization limit in quantum gravity
• $\kappa$-Poincaré phase space: speed of massless particles and relativity of spacetime locality
• Velocity and Distribution of Primordial Neutrinos
• Lie algebraic noncommuting structures from reparametrisation symmetry
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Doubly Quantum Mechanics
• Spacetime defects and group momentum space
• Listening to Quantum Gravity?
• The Multi-parameter Test of Gravitational Wave Dispersion with Principal Component Analysis
• Quantum Euler angles and agency-dependent spacetime
• Twisting kappa-deformed phase space
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
• Maxwell's equations and Lorentz force in doubly special relativity
• Exact form of the generalized Lorentz force in Fock's nonlinear relativity
• From minimal-length quantum theory to modified gravity
• Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
• Natural Cutoffs effect on Charged Rotating TeV-Scale Black Hole Thermodynamics
• Entropic force and bouncing behaviour in $\kappa$-Minkowski space-time
• Dimensional Phenomenology in Polymeric Quantization Framework
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
• Massive Neutron Stars and White Dwarfs as Noncommutative Fuzzy Spheres
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities
• Relativistic electrodynamics with a universal length scale
• Unruh effect using Doppler shift method in DSR framework
• Super-Chandrasekhar limiting mass white dwarfs as emergent phenomena of noncommutative squashed fuzzy spheres
• Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
• The covariant and on-shell statistics in kappa-deformed spacetime