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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• Evading the GZK Cosmic-Ray Cutoff
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• Planck scale still safe from stellar images
• Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
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• Mapping Lorentz Invariance Violations into Equivalence Principle Violations
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• CP Violation in the K-System
• Lorentz violating electrodynamics
• The coplanarity of planetary orbits places bounds on dynamical aether
• Deformed Lorentz Symmetry and High-Energy Astrophysics (I)
• Loop Quantum Gravity Effects on the High Energy Cosmic Ray Spectrum

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• Slow-roll inflation in generalized scalar-torsion gravity
• On Modified Dispersion Relations and the Chandrasekhar Mass Limit
• Background independent condensed matter models for quantum gravity
• Remarks on the consistency of minimal deviations from General Relativity
• Spherically symmetric static black holes in Einstein-aether theory
• Statistical Significance of spectral lag transition in GRB 160625B
• Limits on the Lorentz Invariance Violation from UHECR astrophysics
• Some Impacts of Lorentz Violation on Cosmology
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Ultra high energy photons as probes of Lorentz symmetry violations in stringy space-time foam models
• Testing Lorentz Invariance of Gravity in the Standard Model Extension with GWTC-3
• Planck-scale phenomenology with anti-de Sitter momentum space
• High dimensional AdS-like black hole and Phase transition in Einstein-bumblebee gravity
• Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole
• Lorentz violation induced vacuum birefringence and its astrophysical consequences
• 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
• Non-unitarity of Minkowskian non-local quantum field theories
• A Further Test of Lorentz Violation from the Rest-Frame Spectral Lags of Gamma-Ray Bursts
• Quasi-normal mode analysis in BEC acoustic black holes
• Lorentz violation in simple QED processes
• Constraining alternative theories of gravity using GW$150914$ and GW$151226$
• Quasinormal modes of the spherical bumblebee black holes with a global monopole
• Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
• Probing Lorentz-violating electrodynamics with CMB polarization
• Three-dimensional charged Einstein-aether black holes and Smarr formula
• Quantum Gravity phenomenology: achievements and challenges
• Black holes and Hawking radiation in spacetime and its analogues
• Tests of Lorentz invariance at the Sudbury Neutrino Observatory
• The Cosmological Constant Problem, an Inspiration for New Physics
• Planck-scale modifications to Electrodynamics characterized by a space-like symmetry-breaking vector
• Constraining the Lorentz-Violating Bumblebee Vector Field with Big Bang Nucleosynthesis and Gravitational Baryogenesis
• Search for Lorentz Invariance Violation from stacked Gamma-Ray Burst spectral lag data
• Special Relativity: A Centenary Perspective
• Generation of entanglement from mechanical rotation
• Low energy signatures of nonlocal field theories
• Enhanced CMBR non-Gaussianities from Lorentz violation
• Astrophysical Constraints on the Bumblebee Model
• Experimental Search for Quantum Gravity
• Hawking radiation with dispersion: The broadened horizon paradigm
• $Ad{S}_4$ dyonic black holes in gravity's rainbow
• Two-dimensional gravity with a dynamical aether
• Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
• Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time
• Sigma-Model Aether
• Spontaneous Lorentz Violation: The Case of Infrared QED
• New Limit on Lorentz Violation Using a Double-Pass Optical Ring Cavity
• Quantization of (1+1)-dimensional Hořava-Lifshitz theory of gravity
• Black Hole Evaporation in Hořava-Lifshitz Gravity
• Well-posed Cauchy formulation for Einstein-æther theory
• Inertial frames without the relativity principle
• Neutrino Oscillations and Lorentz Invariance Violation
• Superluminal dispersion relations and the Unruh effect
• Einstein-aether as a quantum effective field theory
• Superradiant instability of the Kerr-like black hole in Einstein-bumblebee gravity
• Lorentz violating kinematics: Threshold theorems
• Solar system tests and interpretation of gauge field and Newtonian prepotential in general covariant Hořava-Lifshitz gravity
• Kinematics of particles with quantum de Sitter symmetries
• Quasi Normal Modes and P-V Criticallity for scalar perturbations in a class of dRGT massive gravity around Black Holes
• Limits on quantum gravity effects from Swift short gamma-ray bursts
• Detecting Lorentz Violations with Gravitational Waves from Black Hole Binaries
• New constraints on Lorentz invariance violation with polarized gamma-ray bursts
• Primordial Non-Gaussianity of Gravitational Waves in Hořava-Lifshitz Gravity
• Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha
• Exact master equation for a noncommutative Brownian particle
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• Minimal Assumption Derivation of a weak Clauser-Horne Inequality
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• The full CPT-even photon sector of the Standard Model Extension at finite temperature
• Foundations of anisotropic relativistic mechanics
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• Modified-gravity theories with nondynamical background fields
• Anisotropic cubic curvature couplings
• The relation between general relativity and a class of Hořava gravity theories
• Two-point functions with an invariant Planck scale and thermal effects
• Spacetime Symmetry Breaking and Einstein-Maxwell Theory
• Violations of Lorentz invariance in the neutrino sector: an improved analysis of anomalous threshold constraints
• Gamma Ray Burst Constraints on Ultraviolet Lorentz Invariance Violation
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• Neutrino Beam Constraints on Flavor-Diagonal Lorentz Violation
• Dynamics in interacting scalar-torsion theory
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• Static post-Newtonian limits in non-projectable Hořava-Lifshitz gravity with an extra U(1) symmetry
• CPT violation in long baseline neutrino experiments: a three flavor analysis
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• Testing Lorentz violation with binary pulsars: constraints on standard model extension
• Phenomenology of Space-time Imperfection II: Local Defects
• Discrete spacetime, quantum walks and relativistic wave equations
• Odd-parity stability of black holes in Einstein-Aether gravity
• Thermodynamics and Luminosities of Rainbow Black Holes
• Gravitational collapse and formation of universal horizons in Einstein-aether theory
• Spin dependent masses and Sim(2) symmetry
• Towards a new approach to quantum gravity phenomenology
• Modelling Planck-scale Lorentz violation via analogue models
• Constraints on the deformation scale of a geometry in the cotangent bundle
• Energy Scale of Lorentz Violation in Rainbow Gravity
• Cosmological birefringent constraints on light
• Spectral Lag Transition of 32 Fermi Gamma-ray Bursts and their Application on Constraining Lorentz Invariance Violation
• Gravitational quasinormal modes of black holes in Einstein-aether theory
• Deformed symmetries in noncommutative and multifractional spacetimes
• Ways to resolve Selleri's paradox
• Hawking Radiation from Universal Horizons
• Constraints on Lorentz invariance violation from the LHAASO observation of GRB 221009A
• Synchrotron Radiation in the Standard Model Extension
• Constraining the loop quantum gravity parameter space from phenomenology
• Analogue Models for Emergent Gravity
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations
• A momentum-space representation of Green's functions with modified dispersion on ultra-static space-time
• Static and rotating universal horizons and black holes in gravitational theories with broken Lorentz invariance
• Threshold anomalies of ultra-high energy cosmic photons due to Lorentz invariance violation
• A momentum-space representation of Green's functions with modified dispersion relations on general backgrounds
• Attractor Solutions in Lorentz Violating Scalar-Vector-Tensor Theory
• Possible quantum gravity effects on the gravitational deflection of light
• Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Odd-parity perturbations of the wormhole-like geometries and quasi-normal modes in Einstein-Æther theory
• Revisiting Lorentz invariance violation from GRB 221009A
• Gravitational wave constraints on Einstein-æther theory with LIGO/Virgo data
• Searching Lorentz invariance violation from cosmic photon attenuation
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Neutron star sensitivities in Hořava gravity after GW170817
• Does a deformation of special relativity imply energy dependent photon time delays?
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
• Phenomenology of Space-time Imperfection I: Nonlocal Defects
• Lorentz Violation in Warped Extra Dimensions
• Lorentz violation in three-family neutrino oscillation
• Free energy of Lorentz-violating QED at high temperature
• Quantum-gravity-induced dual lensing and IceCube neutrinos
• Low energy bounds on Poincare violation in causal set theory
• On the thermodynamics of universal horizons in Einstein-Æther theory
• Revisiting Tests of Lorentz Invariance with Gamma-ray Bursts: Effects of Intrinsic Lags
• Gauge-invariant perturbation theory for trans-Planckian inflation
• Rainbow Black Hole From Quantum Gravitational Collapse
• Lorentz Invariance Violation Matrix from a General Principle
• Limiting Lorentz Violation from Neutron--Antineutron Oscillation
• High energy astrophysical neutrino flux and modified dispersion relations
• Unattainability of the Trans-Planckian regime in Nonlocal Quantum Gravity
• Observers' measurements in premetric electrodynamics I: Time and radar length
• Comments on Ultra-High-Energy Photons and D-Foam models
• Gravitational wave polarizations with different propagation speeds
• Black holes in multi-fractional and Lorentz-violating models
• IceCube's astrophysical neutrino energy spectrum from CPT violation
• Modeling spectral lags in active galactic nucleus flares in the context of Lorentz invariance violation searches
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Quantum gravity without vacuum dispersion
• Chiral Cherenkov and chiral transition radiation in anisotropic matter
• Quantum Gravity Phenomenology without Lorentz Invariance Violation: a detailed proposal
• Unambiguous Quantum Gravity Phenomenology Respecting Lorentz Symmetry
• Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
• Detection of discrete spacetime by matter interferometry
• Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Experimental search for a Lorentz invariant spacetime granularity: Possibilities and bounds
• Spacetime and deformations of special relativistic kinematics
• On Black Hole Echoes
• Improved Constraints on Anisotropic Birefringent Lorentz Invariance and CPT Violation from Broadband Optical Polarimetry of High Redshift Galaxies
• Time warps
• Reparametrization Invariance and Some of the Key Properties of Physical Systems
• Strong constraints on Lorentz violation using new $\gamma$-ray observations around PeV
• One-loop correction to the photon velocity in Lorentz-violating QED
• Astrophysical and Cosmological Searches for Lorentz Invariance Violation
• New theory of Lorentz violation from a general principle
• Emergent Lorentz invariance with chiral fermions
• High energy neutrino oscillation at the presence of the Lorentz Invariance Violation
• Expected Signature For the Lorentz Invariance Violation Effects on $\gamma -\gamma$ Absorption
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature
• Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity
• Hypothesis on the Nature of Time
• Limits to differences in active and passive charges
• A Review of One-Way and Two-Way Experiments to Test the Isotropy of the Speed of Light
• Gravitational collapse in Hořava-Lifshitz theory
• Eikonal equation of the Lorentz-violating Maxwell theory
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Critical points in a relativistic bosonic gas induced by the quantum structure of spacetime
• Tests of Lorentz Invariance
• Special Relativity from Soft Gravitons
• Topological chiral currents in the Gross-Neveu model extension
• On skewon modification of light cone structure
• Quantum theory of electromagnetic fields in a cosmological quantum spacetime
• Lorentz violation naturalness revisited
• Causal sets and conservation laws in tests of Lorentz symmetry
• Testing Lorentz-symmetry violation via electroweak decays
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency
• Cosmological bounds on tachyonic neutrinos
• Extra dimensions and Lorentz invariance violation
• Breaking the light speed barrier
• Decay of superluminal neutrinos in the collinear approximation
• Symmetries from Locality. II. Gravitation and Lorentz Boosts
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Relative-locality phenomenology on Snyder spacetime
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• Constraints on Lorentz-invariance violation in the neutrino sector from the ultrahigh-energy event KM3-230213A
• Fundamental constants and their variability in theories of High Energy Physics
• Two-sided constraints on Lorentz Invariance violation from Tibet-AS$\gamma$ and LHAASO Very-High-Energy photon observations
• Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves
• Causal hierarchy in modified gravity
• Three Questions on Lorentz Violation
• General Relativity with Local Space-time Defects
• A bound on Planck-scale modifications of the energy-momentum composition rule from atomic interferometry
• Emergent gravity: the BEC paradigm
• Emergent spacetimes
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
• Twin Peaks: A possible signal in the production of resonances beyond special relativity
• Geometry of generalized higher order fields and applications to classical linear electrodynamics
• A Theoretical Diagnosis on Light Speed Anisotropy from GRAAL Experiment
• 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
• Challenges for Emergent Gravity
• Accelerated Particle Detectors with Modified Dispersion Relations
• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves
• Testing Lorentz invariance of dark matter with satellite galaxies
• Collisional energy loss and the Chiral Magnetic Effect
• Quantum spacetime fluctuations: Lamb Shift and hyperfine structure of the hydrogen atom
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Enhancing test precision for local Lorentz symmetry violation with entanglement
• Aether-quasi-dilaton massive gravity
• Conceptual Challenges on the Road to the Multiverse
• Response of a rotating detector coupled to a polymer quantized field
• Local Lorentz invariance tests for photons and hadrons at the Gamma Factory
• Gravitational plane waves in Einstein-aether theory
• Vacuum polarization instead of "dark matter" in a galaxy
• Dispersion relation and surface gravity of universal horizons
• Testing Short Distance Anisotropy in Space
• Global symmetries, hidden sectors and emergent (dark) vector interactions
• Cosmic-Ray Extremely Distributed Observatory: status and perspectives
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• 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
• Probing CPT violation in neutrino oscillation: A three flavor analysis
• Note on a new fundamental length scale $l$ instead of the Newtonian constant $G$
• Dispersive vacuum as a decoherence amplifier of an Unruh-DeWitt detector
• Constraining the Mass Scale of a Lorentz-Violating Hamiltonian with the Measurement of Astrophysical Neutrino-Flavor Composition
• The Integrability of Pauli System in Lorentz Violating Background
• Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
• Relaxing the cosmological constant in the extreme ultra-infrared
• Short-range forces due to Lorentz-symmetry violation
• Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry
• Relativistic deformed kinematics: from flat to curved spacetimes
• Thermal effects of Very Special Relativity Quantum Electrodynamics
• AEther as an Inevitable Consequence of Quantum Gravity
• New Constraints on Lorentz Invariance Violation from Combined Linear and Circular Optical Polarimetry of Extragalactic Sources
• Regularizing (away) vacuum energy
• Limits on non-minimal Lorentz violating parameters through FCNC and LFV processes
• Space-time thermodynamics in momentum dependent geometries
• Lorentz invariance violation as an explanation of muon excess in Auger data
• Cosmological Model Independent Time Delay Method
• Lorentz breaking Effective Field Theory and observational tests
• Non-universal relativistic kinematics
• Tree-level processes in very special relativity
• Fundamental causal bounds of quantum random access memories
• Approaches to photon absorption in a Lorentz invariance violation scenario
• Entropies and The First Laws of Black Hole Thermodynamics in Einstein-aether-Maxwell Theory
• A new perspective on Doubly Special Relativity
• Low-Energy Lorentz Invariance in Lifshitz Nonlinear Sigma Models
• STE-QUEST Mission and System Design - Overview after completion of Phase-A
• On the use of energy loss mechanisms to constrain Lorentz invariance violations
• Polymer quantization and advanced gravitational wave detector
• Gravitational mass of positron from LEP synchrotron losses
• Lorentz-preserving fields in Lorentz-violating theories
• Optical data implies a null simultaneity test theory parameter in rotating frames
• Reality and causality in quantum gravity modified electrodynamics
• Symmetries from Locality. I. Electromagnetism and Charge Conservation
• Fractional quantum mechanics meets quantum gravity phenomenology
• The Impact of Lorentz Violation on the Klein Tunneling Effect
• Lorentz-symmetry violating decays in a medium
• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
• Extracting Geometry from Quantum Spacetime: Obstacles down the road
• Prospects for an advanced Kennedy-Thorndike experiment in low Earth orbit
• Constraints on Lorentz invariance violation from the extraordinary Mrk 421 flare of 2014 using a novel analysis method
• A limit on Planck-scale froth with ESPRESSO
• Photon velocity, power spectrum in Unruh effect with modified dispersion relation
• Dilaton from Tractor and Matter Field from Twistor
• The light speed vs the observer: the Kennedy-Thorndike test from GRAAL-ESRF
• Observation-based symmetry breaking measures
• I-Love-Q in Hořava-Lifshitz Gravity
• Cardy-Verlinde entropy in Hořava-Lifshitz gravity
• Surface gravity from tidal acceleration
• Unification of the four forces in the Spin(11,1) geometric algebra
• Multiparticle states in braided lightlike $\kappa$-Minkowski noncommutative QFT
• Gravitational mass of relativistic matter and antimatter
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
• Constraining parity and Lorentz violations in gravity with future ground- and space-based gravitational wave detectors
• Tests of Lorentz Invariance Violation with Gamma Rays to probe Quantum Gravity
• Exploring Anisotropic Lorentz Invariance Violation from the Spectral-Lag Transitions of Gamma-Ray Bursts
• A discrete, unitary, causal theory of quantum gravity
• Matter in Loop Quantum Gravity
• Fermion Mass Hierarchy in Lifshitz Type Gauge Theory
• Unitarity and non-relativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model
• Optical cavity resonator in an expanding universe
• Past and future blurring at fundamental length scale
• A Field Theory Model With a New Lorentz-Invariant Energy Scale
• Study of the High Energy Gamma-ray Emission from the Crab Pulsar with the MAGIC telescope and Fermi-LAT
• Fermion family recurrences in the Dyson-Schwinger formalism
• Unruh's detector in the presence of Lorentz symmetry breaking
• Strange Horizons: Understanding Causal Barriers Beyond General Relativity
• A limit on the anisotropy of the one-way maximum attainable speed of the electron
• Vacuum Radiation in $z=2$ Lifshitz QED
• Relativistic dispersion relation and putative metric structure in noncommutative phase-space
• On the Resilience of Black Hole Evaporation: Gravitational Tunneling through Universal Horizons
• Ether and Relativity
• Symmetries from Locality. III. Massless Spin 2 Gravitons and Time Translations
• Quantum superpositions of the speed of light
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• A duality-invariant Einstein-Planck relation and its consequences on micro black holes
• Modified energy-momentum conservation laws and vacuum Cherenkov radiation
• Fermi acceleration under Lorentz invariance violation
• Self-gravitating stellar collapse: explicit geodesics and path integration
• Moving Schwarzschild Black Hole and Modified Dispersion Relations
• Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole
• Minimal Einstein-Aether Theory
• Stellar matter with pseudoscalar condensates
• K-essence Explains a Lorentz Violation Experiment
• Relativistic Generalized Uncertainty Principle and Its Implications
• Exploring black hole mechanics in cotangent bundle geometries
• The Local Lorentz Symmetry Violation and Einstein Equivalence Principle
• Consistency of Lorentz-invariance violation neutrino scenarios in time delay analyses
• Simulating Electromagnetic Cascades with Lorentz Invariance Violation
• An Improved Framework for Quantum Gravity
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Towards a first observation of magneto-electric directional anisotropy and linear birefringence in gases
• The equivalence between Finsler and non-commutative geometries by massive gravity black hole
• The Finsler Type of Space-time Realization of Deformed Very Special Relativity
• Quantization of Spacetime Based on Spacetime Interval Operator
• Could the photon dispersion relation be non-linear ?
• Anthropic Selection of Physical Constants, Quantum Entanglement, and the Multiverse Falsifiability
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• Quantum groups and noncommutative spacetimes with cosmological constant
• Lorentz violation and red shift of gravitational waves in brane-worlds
• Effects of high-order operators in non-relativistic Lifshitz holography
• Parameter estimation for a Lorentz invariance violation
• The Theory of a Quantum Noncanonical Field in Curved Spacetimes
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• Is the local linearity of space-time inherited from the linearity of probabilities?
• Astroparticle Physics Tests of Lorentz Invariance Violation
• Are inertial vacua equivalent in Lorentz-violating theories? Does it matter?
• New physics as a possible explanation for the Amaterasu particle
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• Local Lorentz Transformation and "Lorentz Violation"
• NAT Black Holes
• Brane Lorentz Symmetry from Lorentz Breaking in the Bulk
• Weighted Lorentz invariant measures as quantum field theory regulators
• Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data
• Constraints to Lorentz violation and ultrahigh-energy electrons in D-foamy space-times
• Universal Horizons without Hypersurface Orthogonality
• Constraints on Lorentz invariance violation with multiwavelength polarized astrophysical sources
• Adler-Bell-Jackiw anomaly in VSR electrodynamics
• Fundamental physics in space with the Fermi Gamma-ray Space Telescope
• Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations
• A No-go theorem for Poincaré-invariant networks
• T-Minkowski noncommutative spacetimes I: Poincaré groups, differential calculi and braiding
• Lorentz symmetry from a random Hamiltonian
• Effective Theories and Modifications of Gravity
• Seeking for the observational manifestation of de Sitter Relativity
• A Lorentz Invariant Phenomenological Model of Quantum Gravity
• Tree-level unitarity, causality and higher-order Lorentz and CPT violation
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• Lorentz-covariant sampling theory for fields
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• Search for the Footprints of New Physics with Laboratory and Cosmic Neutrinos
• What becomes of a causal set
• CPT Violation: Theory and Phenomenology
• Inflationary perturbations with Lifshitz scaling
• A search for directional violations of the Lorentz invariance through the study of a possible asymmetry of particle lifetimes
• Effects of new physics in neutrino propagation
• What does it take to solve the measurement problem?
• Eikonal gravitational-wave lensing in Einstein-aether theory
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• On Finslerian extension of special relativity
• Quantum Gravity, CPT symmetry and Entangled States
• Spacetime granularity from finite-dimensionality of local observable algebras
• Limits on the Carroll-Field-Jackiw electrodynamics from geomagnetic data
• Cosmological Model Independent Constraints on Lorentz Invariance Violation with Updated Gamma-Ray Burst Observations: An Artificial Neural Network Approach
• The implications of gamma-ray photons from LHAASO on Lorentz symmetry
• Path integral analysis of the axial anomaly in Very Special Relativity
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
• Bose-Einstein condensates in a homogeneous gravitational field
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Probing Relativity using Space-Based Experiments
• A New Lorentz Violating Nonlocal Field Theory From String-Theory
• Optimal estimation of parameters for scalar fields in expanding universe exhibiting Lorentz invariance violation
• Magnetic monopoles in Lorentz-violating electrodynamics
• Would Superluminal Influences Violate the Principle of Relativity?
• Induced deformation of the canonical structure and UV/IR duality in $(1+1)D$
• The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
• A realisation of Lorentz algebra in Lorentz violating theory
• New Constraints on Lorentz Invariance Violation at High Redshifts from Multiband of GRBs
• What if? On the interplay between Serendipity, Intuition and Conjecture
• The Principle of Solidarity: Geometrical Description of Interactions
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction
• Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^{+}{e}^{-}$ colliders
• Einstein's special relativity from a space-time duality principle
• Coupling Right- and Left-Handed Photons Differently to Charged Matter
• A local quantum Mach principle and the metricity of spacetime
• Physics Insights from Recent MAGIC AGN Observations
• Radiation Reaction in a Lorentz-Violating Electrodynamics
• The Entropic Dynamics of Relativistic Quantum Fields in Curved Space-time
• Study of the one-way speed of light anisotropy with particle beams
• Vacuum Cherenkov radiation at finite temperature
• Quantum gravity and spacetime symmetries
• 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
• A novel test of Lorentz violation in the photon sector with an LC circuit
• $O(d,d)$ symmetry in teleparallel dark energy
• The Photon Dispersion as an Indicator for New Physics ?
• Thermodynamics and emergent thermomechanical response of a quantum ring with nonminimal spin--orbit coupling
• Bounds on QCA Lattice Spacing from Data on Lorentz Violation
• Making the case for causal dynamical triangulations
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers
• Hunting modifications of gravity: from the lab to cosmology via compact objects
• Phenomenological description of quantum gravity inspired modified classical electrodynamics
• Lorentz-invariant and Lorentz-non-invariant aspects of a scalar tachyon field Lagrangian and the scalar tachyon Feynman propagator
• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences
• Analogue gravitational phenomena in Bose-Einstein condensates
• Higgs Field-Induced Triboluminescence in Binary Black Hole Mergers
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition
• Quantum Physics in Space
• The Deformation of Poincaré Subgroups Concerning Very Special Relativity
• On anisotropy of the maximum attainable speed of low-mass particles