Modern tests of Lorentz invariance

Abstract

Motivated by ideas about quantum gravity, a tremendous amount of effort over the past decade has gone into testing Lorentz invariance in various regimes. This review summarizes both the theoretical frameworks for tests of Lorentz invariance and experimental advances that have made new high precision tests possible. The current constraints on Lorentz violating effects from both terrestrial experiments and astrophysical observations are presented.

Modified and expanded discussions of various points. Numerous references added. Version matches that accepted by Living Reviews in Relativity

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• Revisiting Lorentz invariance violation from GRB 221009A
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• Unattainability of the Trans-Planckian regime in Nonlocal Quantum Gravity
• Observers' measurements in premetric electrodynamics I: Time and radar length
• Low energy bounds on Poincare violation in causal set theory
• Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
• Quantum gravity without vacuum dispersion
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• IceCube's astrophysical neutrino energy spectrum from CPT violation
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• Black holes in multi-fractional and Lorentz-violating models
• Detection of discrete spacetime by matter interferometry
• Modeling spectral lags in active galactic nucleus flares in the context of Lorentz invariance violation searches
• Quantum Gravity Phenomenology without Lorentz Invariance Violation: a detailed proposal
• On Black Hole Echoes
• Experimental search for a Lorentz invariant spacetime granularity: Possibilities and bounds
• Spacetime and deformations of special relativistic kinematics
• Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
• Improved Constraints on Anisotropic Birefringent Lorentz Invariance and CPT Violation from Broadband Optical Polarimetry of High Redshift Galaxies
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Reparametrization Invariance and Some of the Key Properties of Physical Systems
• One-loop correction to the photon velocity in Lorentz-violating QED
• Strong constraints on Lorentz violation using new $\gamma$-ray observations around PeV
• Time warps
• Astrophysical and Cosmological Searches for Lorentz Invariance Violation
• New theory of Lorentz violation from a general principle
• Limits to differences in active and passive charges
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Emergent Lorentz invariance with chiral fermions
• Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity
• Expected Signature For the Lorentz Invariance Violation Effects on $\gamma -\gamma$ Absorption
• High energy neutrino oscillation at the presence of the Lorentz Invariance Violation
• Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature
• Hypothesis on the Nature of Time
• Gravitational collapse in Hořava-Lifshitz theory
• On skewon modification of light cone structure
• A Review of One-Way and Two-Way Experiments to Test the Isotropy of the Speed of Light
• Topological chiral currents in the Gross-Neveu model extension
• Tests of Lorentz Invariance
• Causal sets and conservation laws in tests of Lorentz symmetry
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Extra dimensions and Lorentz invariance violation
• Testing Lorentz-symmetry violation via electroweak decays
• Critical points in a relativistic bosonic gas induced by the quantum structure of spacetime
• Eikonal equation of the Lorentz-violating Maxwell theory
• Special Relativity from Soft Gravitons
• Lorentz violation naturalness revisited
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
• Quantum theory of electromagnetic fields in a cosmological quantum spacetime
• Cosmological bounds on tachyonic neutrinos
• Breaking the light speed barrier
• Fundamental constants and their variability in theories of High Energy Physics
• Causal hierarchy in modified gravity
• Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves
• Symmetries from Locality. II. Gravitation and Lorentz Boosts
• Constraints on Lorentz-invariance violation in the neutrino sector from the ultrahigh-energy event KM3-230213A
• A bound on Planck-scale modifications of the energy-momentum composition rule from atomic interferometry
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• Relative-locality phenomenology on Snyder spacetime
• General Relativity with Local Space-time Defects
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Three Questions on Lorentz Violation
• Decay of superluminal neutrinos in the collinear approximation
• Two-sided constraints on Lorentz Invariance violation from Tibet-AS$\gamma$ and LHAASO Very-High-Energy photon observations
• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves
• Geometry of generalized higher order fields and applications to classical linear electrodynamics
• Accelerated Particle Detectors with Modified Dispersion Relations
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
• Challenges for Emergent Gravity
• Testing Lorentz invariance of dark matter with satellite galaxies
• Emergent spacetimes
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Black hole entropy arising from massless scalar field with Lorentz violation induced by the coupling to Einstein tensor
• Response of a rotating detector coupled to a polymer quantized field
• Collisional energy loss and the Chiral Magnetic Effect
• Enhancing test precision for local Lorentz symmetry violation with entanglement
• Emergent gravity: the BEC paradigm
• Aether-quasi-dilaton massive gravity
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Quantum spacetime fluctuations: Lamb Shift and hyperfine structure of the hydrogen atom
• Twin Peaks: A possible signal in the production of resonances beyond special relativity
• A Theoretical Diagnosis on Light Speed Anisotropy from GRAAL Experiment
• Conceptual Challenges on the Road to the Multiverse
• Note on a new fundamental length scale $l$ instead of the Newtonian constant $G$
• Vacuum polarization instead of "dark matter" in a galaxy
• Global symmetries, hidden sectors and emergent (dark) vector interactions
• Lorentz violation footprints in the spectrum of high-energy cosmic neutrinos: Deformation of the spectrum of superluminal neutrinos from electron-positron pair production in vacuum
• Gravitational plane waves in Einstein-aether theory
• Dispersion relation and surface gravity of universal horizons
• Cosmic-Ray Extremely Distributed Observatory: status and perspectives
• Constraining the Mass Scale of a Lorentz-Violating Hamiltonian with the Measurement of Astrophysical Neutrino-Flavor Composition
• Testing Short Distance Anisotropy in Space
• Dispersive vacuum as a decoherence amplifier of an Unruh-DeWitt detector
• Local Lorentz invariance tests for photons and hadrons at the Gamma Factory
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Probing CPT violation in neutrino oscillation: A three flavor analysis
• Space-time thermodynamics in momentum dependent geometries
• New Constraints on Lorentz Invariance Violation from Combined Linear and Circular Optical Polarimetry of Extragalactic Sources
• AEther as an Inevitable Consequence of Quantum Gravity
• Lorentz invariance violation as an explanation of muon excess in Auger data
• Relativistic deformed kinematics: from flat to curved spacetimes
• Cosmological Model Independent Time Delay Method
• Low-Energy Lorentz Invariance in Lifshitz Nonlinear Sigma Models
• Regularizing (away) vacuum energy
• Thermal effects of Very Special Relativity Quantum Electrodynamics
• Limits on non-minimal Lorentz violating parameters through FCNC and LFV processes
• Entropies and The First Laws of Black Hole Thermodynamics in Einstein-aether-Maxwell Theory
• The Integrability of Pauli System in Lorentz Violating Background
• Tree-level processes in very special relativity
• Relaxing the cosmological constant in the extreme ultra-infrared
• Short-range forces due to Lorentz-symmetry violation
• Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
• A new perspective on Doubly Special Relativity
• Fundamental causal bounds of quantum random access memories
• Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry
• Approaches to photon absorption in a Lorentz invariance violation scenario
• Lorentz breaking Effective Field Theory and observational tests
• Non-universal relativistic kinematics
• Lorentz-symmetry violating decays in a medium
• The Impact of Lorentz Violation on the Klein Tunneling Effect
• On the use of energy loss mechanisms to constrain Lorentz invariance violations
• Extracting Geometry from Quantum Spacetime: Obstacles down the road
• Constraints on Lorentz invariance violation from the extraordinary Mrk 421 flare of 2014 using a novel analysis method
• Optical data implies a null simultaneity test theory parameter in rotating frames
• Fractional quantum mechanics meets quantum gravity phenomenology
• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
• Gravitational mass of positron from LEP synchrotron losses
• Symmetries from Locality. I. Electromagnetism and Charge Conservation
• A limit on Planck-scale froth with ESPRESSO
• Reality and causality in quantum gravity modified electrodynamics
• Polymer quantization and advanced gravitational wave detector
• Lorentz-preserving fields in Lorentz-violating theories
• Prospects for an advanced Kennedy-Thorndike experiment in low Earth orbit
• STE-QUEST Mission and System Design - Overview after completion of Phase-A
• Past and future blurring at fundamental length scale
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
• I-Love-Q in Hořava-Lifshitz Gravity
• Cardy-Verlinde entropy in Hořava-Lifshitz gravity
• Exploring Anisotropic Lorentz Invariance Violation from the Spectral-Lag Transitions of Gamma-Ray Bursts
• Study of the High Energy Gamma-ray Emission from the Crab Pulsar with the MAGIC telescope and Fermi-LAT
• Optical cavity resonator in an expanding universe
• Dilaton from Tractor and Matter Field from Twistor
• Fermion Mass Hierarchy in Lifshitz Type Gauge Theory
• Fermion family recurrences in the Dyson-Schwinger formalism
• Constraining parity and Lorentz violations in gravity with future ground- and space-based gravitational wave detectors
• Observation-based symmetry breaking measures
• Unitarity and non-relativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model
• The light speed vs the observer: the Kennedy-Thorndike test from GRAAL-ESRF
• Unruh's detector in the presence of Lorentz symmetry breaking
• Gravitational mass of relativistic matter and antimatter
• Surface gravity from tidal acceleration
• A discrete, unitary, causal theory of quantum gravity
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• Photon velocity, power spectrum in Unruh effect with modified dispersion relation
• Tests of Lorentz Invariance Violation with Gamma Rays to probe Quantum Gravity
• Unification of the four forces in the Spin(11,1) geometric algebra
• Matter in Loop Quantum Gravity
• A Field Theory Model With a New Lorentz-Invariant Energy Scale
• A limit on the anisotropy of the one-way maximum attainable speed of the electron
• Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole
• Relativistic dispersion relation and putative metric structure in noncommutative phase-space
• A duality-invariant Einstein-Planck relation and its consequences on micro black holes
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Quantum superpositions of the speed of light
• Minimal Einstein-Aether Theory
• Ether and Relativity
• Vacuum Radiation in $z=2$ Lifshitz QED
• Fermi acceleration under Lorentz invariance violation
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• Strange Horizons: Understanding Causal Barriers Beyond General Relativity
• On the Resilience of Black Hole Evaporation: Gravitational Tunneling through Universal Horizons
• Moving Schwarzschild Black Hole and Modified Dispersion Relations
• Self-gravitating stellar collapse: explicit geodesics and path integration
• Symmetries from Locality. III. Massless Spin 2 Gravitons and Time Translations
• Stellar matter with pseudoscalar condensates
• Modified energy-momentum conservation laws and vacuum Cherenkov radiation
• Consistency of Lorentz-invariance violation neutrino scenarios in time delay analyses
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• Simulating Electromagnetic Cascades with Lorentz Invariance Violation
• New physics as a possible explanation for the Amaterasu particle
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• NAT Black Holes
• Parameter estimation for a Lorentz invariance violation
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Are inertial vacua equivalent in Lorentz-violating theories? Does it matter?
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• The equivalence between Finsler and non-commutative geometries by massive gravity black hole
• Exploring black hole mechanics in cotangent bundle geometries
• Quantum groups and noncommutative spacetimes with cosmological constant
• Relativistic Generalized Uncertainty Principle and Its Implications
• The Local Lorentz Symmetry Violation and Einstein Equivalence Principle
• An Improved Framework for Quantum Gravity
• Quantization of Spacetime Based on Spacetime Interval Operator
• Anthropic Selection of Physical Constants, Quantum Entanglement, and the Multiverse Falsifiability
• Astroparticle Physics Tests of Lorentz Invariance Violation
• Is the local linearity of space-time inherited from the linearity of probabilities?
• Effects of high-order operators in non-relativistic Lifshitz holography
• Lorentz violation and red shift of gravitational waves in brane-worlds
• Towards a first observation of magneto-electric directional anisotropy and linear birefringence in gases
• The Finsler Type of Space-time Realization of Deformed Very Special Relativity
• The Theory of a Quantum Noncanonical Field in Curved Spacetimes
• K-essence Explains a Lorentz Violation Experiment
• Could the photon dispersion relation be non-linear ?
• Local Lorentz Transformation and "Lorentz Violation"
• Constraints on Lorentz invariance violation with multiwavelength polarized astrophysical sources
• Search for the Footprints of New Physics with Laboratory and Cosmic Neutrinos
• Tree-level unitarity, causality and higher-order Lorentz and CPT violation
• What becomes of a causal set
• A Lorentz Invariant Phenomenological Model of Quantum Gravity
• Lorentz symmetry from a random Hamiltonian
• Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations
• Lorentz-covariant sampling theory for fields
• T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
• Brane Lorentz Symmetry from Lorentz Breaking in the Bulk
• Effective Theories and Modifications of Gravity
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Fundamental physics in space with the Fermi Gamma-ray Space Telescope
• Universal Horizons without Hypersurface Orthogonality
• Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
• Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• Inflationary perturbations with Lifshitz scaling
• A No-go theorem for Poincaré-invariant networks
• Adler-Bell-Jackiw anomaly in VSR electrodynamics
• Seeking for the observational manifestation of de Sitter Relativity
• Weighted Lorentz invariant measures as quantum field theory regulators
• CPT Violation: Theory and Phenomenology
• Induced deformation of the canonical structure and UV/IR duality in $(1+1)D$
• Would Superluminal Influences Violate the Principle of Relativity?
• Bose-Einstein condensates in a homogeneous gravitational field
• The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
• Path integral analysis of the axial anomaly in Very Special Relativity
• Eikonal gravitational-wave lensing in Einstein-aether theory
• Optimal estimation of parameters for scalar fields in expanding universe exhibiting Lorentz invariance violation
• Magnetic monopoles in Lorentz-violating electrodynamics
• Probing Relativity using Space-Based Experiments
• Effects of new physics in neutrino propagation
• Quantum Gravity, CPT symmetry and Entangled States
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• A New Lorentz Violating Nonlocal Field Theory From String-Theory
• Limits on the Carroll-Field-Jackiw electrodynamics from geomagnetic data
• Spacetime granularity from finite-dimensionality of local observable algebras
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
• Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• The implications of gamma-ray photons from LHAASO on Lorentz symmetry
• Cosmological Model Independent Constraints on Lorentz Invariance Violation with Updated Gamma-Ray Burst Observations: An Artificial Neural Network Approach
• On Finslerian extension of special relativity
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• What does it take to solve the measurement problem?
• A search for directional violations of the Lorentz invariance through the study of a possible asymmetry of particle lifetimes
• The Deformation of Poincaré Subgroups Concerning Very Special Relativity
• WKB Approximation for a Deformed Schrodinger-like Equation and its Applications to Quasinormal Modes of Black Holes and Quantum Cosmology
• Causality and quantum theory
• Constraining Lorentz and parity violations in gravity with multiband gravitational wave observations
• The Principle of Solidarity: Geometrical Description of Interactions
• A novel test of Lorentz violation in the photon sector with an LC circuit
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction
• Bounds on QCA Lattice Spacing from Data on Lorentz Violation
• Study of the one-way speed of light anisotropy with particle beams
• Radiation Reaction in a Lorentz-Violating Electrodynamics
• Coupling Right- and Left-Handed Photons Differently to Charged Matter
• Analogue gravitational phenomena in Bose-Einstein condensates
• A realisation of Lorentz algebra in Lorentz violating theory
• Physics Insights from Recent MAGIC AGN Observations
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time
• Quantum gravity and spacetime symmetries
• $O(d,d)$ symmetry in teleparallel dark energy
• Lorentz-invariant and Lorentz-non-invariant aspects of a scalar tachyon field Lagrangian and the scalar tachyon Feynman propagator
• New Constraints on Lorentz Invariance Violation at High Redshifts from Multiband of GRBs
• Making the case for causal dynamical triangulations
• On anisotropy of the maximum attainable speed of low-mass particles
• Einstein's special relativity from a space-time duality principle
• Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^{+}{e}^{-}$ colliders
• Vacuum Cherenkov radiation at finite temperature
• A local quantum Mach principle and the metricity of spacetime
• Hunting modifications of gravity: from the lab to cosmology via compact objects
• Quantum Physics in Space
• Higgs Field-Induced Triboluminescence in Binary Black Hole Mergers
• The Photon Dispersion as an Indicator for New Physics ?
• Phenomenological description of quantum gravity inspired modified classical electrodynamics
• What if? On the interplay between Serendipity, Intuition and Conjecture
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition
• Thermodynamics and emergent thermomechanical response of a quantum ring with nonminimal spin--orbit coupling
• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences