Loop Quantum Gravity

Abstract

The problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approaches is loop quantum gravity. Loop quantum gravity is a mathematically well-defined, non-perturbative and background independent quantization of general relativity, with its conventional matter couplings. The research in loop quantum gravity forms today a vast area, ranging from mathematical foundations to physical applications. Among the most significative results obtained are: (i) The computation of the physical spectra of geometrical quantities such as area and volume; which yields quantitative predictions on Planck-scale physics. (ii) A derivation of the Bekenstein-Hawking black hole entropy formula. (iii) An intriguing physical picture of the microstructure of quantum physical space, characterized by a polymer-like Planck scale discreteness. This discreteness emerges naturally from the quantum theory and provides a mathematically well-defined realization of Wheeler's intuition of a spacetime ``foam''. Long standing open problems within the approach (lack of a scalar product, overcompleteness of the loop basis, implementation of reality conditions) have been fully solved. The weak part of the approach is the treatment of the dynamics: at present there exist several proposals, which are intensely debated. Here, I provide a general overview of ideas, techniques, results and open problems of this candidate theory of quantum gravity, and a guide to the relevant literature.

Review paper written for the electronic journal `Living Reviews'. 34 pages

References in corpus (5)

• Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories
• Statistical Mechanics and Black Hole Thermodynamics
• Loop Quantization of Maxwell Theory and Electric Charge Quantization
• Chern--Simons states in spin-network quantum gravity
• On the quantization of the Null-Surface formulation of GR

Cited by in corpus (458)

• Background Independent Quantum Gravity: A Status Report
• Lorentz invariance with an invariant energy scale
• Thermodynamical Aspects of Gravity: New insights
• Brane-World Gravity
• Isolated and dynamical horizons and their applications
• Brane-world gravity
• Absence of Singularity in Loop Quantum Cosmology
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Generalized Lorentz invariance with an invariant energy scale
• The Spin Foam Approach to Quantum Gravity
• Gravity's Rainbow
• Gravity and the Thermodynamics of Horizons
• Spin Foam Models for Quantum Gravity
• Dilaton Gravity in Two Dimensions
• Quantum Gravity: a Progress Report
• Black hole entropy from Quantum Geometry
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
• Partial and Complete Observables for Canonical General Relativity
• Fundamental Structure of Loop Quantum Gravity
• Ultraviolet properties of f(R)-Gravity
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
• New varying speed of light theories
• The Phoenix Project: Master Constraint Programme for Loop Quantum Gravity
• An emergent universe from a loop
• Inflation from Quantum Geometry
• Gravitational Decoherence
• Dark matter: A spin one half fermion field with mass dimension one?
• The Inverse Scale Factor in Isotropic Quantum Geometry
• String theories with deformed energy momentum relations, and a possible non-tachyonic bosonic string
• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• Prospects for constraining quantum gravity dispersion with near term observations
• Algebraic Quantum Gravity (AQG) I. Conceptual Setup
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Algebraic Quantum Gravity (AQG) IV. Reduced Phase Space Quantisation of Loop Quantum Gravity
• Gravity and the Quantum
• Wormholes in a viable f(T) gravity
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction
• A Uniqueness Theorem for Constraint Quantization
• Functional Evolution of Free Quantum Fields
• Shortcomings in the Understanding of Why Cosmological Perturbations Look Classical
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
• Dynamical Initial Conditions in Quantum Cosmology
• The Semiclassical Limit of Loop Quantum Cosmology
• Self-consistency in Theories with a Minimal Length
• Complexifier Coherent States for Quantum General Relativity
• Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity
• Quantum gravity and spin 1/2 particles effective dynamics
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework
• Improved limit on quantum-spacetime modifications of Lorentz symmetry from observations of gamma-ray blazars
• Spectral Analysis of the Volume Operator in Loop Quantum Gravity
• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• The length operator in Loop Quantum Gravity
• Loop quantization of spherically symmetric midi-superspaces
• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Loop Quantum Cosmology, Boundary Proposals, and Inflation
• Quantum-Gravity Phenomenology: Status and Prospects
• Genericness of Big Bounce in isotropic loop quantum cosmology
• Quantum Spin Dynamics VIII. The Master Constraint
• Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
• The projector on physical states in loop quantum gravity
• Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
• Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators
• On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
• Observational issues in loop quantum cosmology
• Loop Quantum Cosmology: Recent Progress
• Minimal Length and Bouncing Particle Spectrum
• On Singularity Resolution in Quantum Gravity
• Towards the QFT on Curved Spacetime Limit of QGR. I: A General Scheme
• Disordered locality in loop quantum gravity states
• Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity
• Manifestly Gauge-Invariant General Relativistic Perturbation Theory: I. Foundations
• A scale dependent black hole in three-dimensional space-time
• Towards the QFT on Curved Spacetime Limit of QGR. II: A Concrete Implementation
• Quantum Theory from Quantum Gravity
• Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
• Generalized Uncertainty Principle, Modified Dispersion Relations and Early Universe Thermodynamics
• Loop Quantum Gravity and the Cyclic Universe
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Quantum resolution of black hole singularities
• Shadow and deflection angle of rotating black hole in asymptotically safe gravity
• Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
• The Bianchi IX model in Loop Quantum Cosmology
• Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
• Discrete Lorentzian Quantum Gravity
• Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity I
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity II
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• On (Cosmological) Singularity Avoidance in Loop Quantum Gravity
• Quantum mechanics: Myths and facts
• Concept of temperature in multi-horizon spacetimes: Analysis of Schwarzschild-De Sitter metric
• Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
• Modified dispersion relations in extra dimensions
• Testing the Master Constraint Programme for Loop Quantum Gravity II. Finite Dimensional Systems
• Black Hole Production in Particle Collisions and Higher Curvature Gravity
• Photons from quantized electric flux representations
• Quantum gravity and the standard model
• Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmolog
• Massive quantum systems as interfaces of quantum mechanics and gravity
• Classical and Quantum Features of the Mixmaster Singularity
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• Scale-dependent (2+1) - dimensional electrically charged black holes in Einstein-power-Maxwell theory
• Gauge-invariant coherent states for Loop Quantum Gravity I: Abelian gauge groups
• On the Ultraviolet Behaviour of Newton's constant
• Algebraic Quantum Gravity (AQG) III. Semiclassical Perturbation Theory
• Causal structures and causal boundaries
• A graceful entrance to braneworld inflation
• Comparison of primordial tensor power spectra from the deformed algebra and dressed metric approaches in loop quantum cosmology
• Diffeomorphism covariant representations of the holonomy-flux star-algebra
• Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories
• Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
• A new method to study energy-dependent arrival delays on photons from astrophysical sources
• Quantum Cosmology: Effective Theory
• Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• Scale-dependent polytropic black hole
• Towards relativistic quantum geometry
• Implementing causality in the spin foam quantum geometry
• Chern-Simons Modified Gravity as a Torsion Theory and its Interaction with Fermions
• Life in an Energy Eigenstate: Decoherent Histories Analysis of a Model Timeless Universe
• Uniform discretizations: a new approach for the quantization of totally constrained systems
• Inflation: A graceful entrance from Loop Quantum Cosmology
• Statefinder Analysis of f(T) Cosmology
• Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories
• Three dimensional loop quantum gravity: coupling to point particles
• Primordial scalar power spectrum from the Euclidean Big Bounce
• Genericness of inflation in isotropic loop quantum cosmology
• Testing the Master Constraint Programme for Loop Quantum Gravity III. SL(2,R) Models
• Lack of observational evidence for quantum structure of space-time at Plank scales
• Primordial black holes in loop quantum cosmology: The effect on the threshold
• Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology
• Gravitons from a loop representation of linearised gravity
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• The LQG -- String: Loop Quantum Gravity Quantization of String Theory I. Flat Target Space
• Spacetime-noncommutativity regime of Loop Quantum Gravity
• Primordial tensor power spectrum in holonomy corrected Omega-LQC
• Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
• Minkowski vacuum in background independent quantum gravity
• Optimal measurements for relative quantum information
• Observational predictions of LQG motivated polymerized black holes and constraints from Sgr A* and M87*
• Primordial Density Perturbation in Effective Loop Quantum Cosmology
• Gravitational waveforms from periodic orbits around a quantum-corrected black hole
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Generalized uncertainty principle and Asymptotic Safe gravity
• Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation
• The linearization of the Kodama state
• Charged spinning and magnetized test particles orbiting quantum improved charged black holes
• Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes
• When can gravity path-entangle two spatially superposed masses?
• Quantum superpositions of Minkowski spacetime
• Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
• Quasinormal modes of an improved Schwarzschild black hole
• Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories
• Constraints on rainbow gravity functions from black hole thermodynamics
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Inflationary scalar spectrum in loop quantum cosmology
• Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
• Braneworld cosmology in $f(R,T)$ gravity
• Constraints on a scale invariant power spectrum from superinflation in LQC
• Schroedinger's cat and the clock: Lessons for quantum gravity
• Black Hole Solutions for Scale Dependent Couplings: The de Sitter and the Reissner-Nordström Case
• Quantum Gravity as an Information Network: Self-Organization of a 4D Universe
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• Probing Loop Quantum Gravity with Evaporating Black Holes
• Interior solutions of relativistic stars in the scale-dependent scenario
• Memory burden effect mimics reheating signatures on SGWB from ultra-low mass PBH domination
• Orbits of light rays in scale-dependent gravity: Exact analytical solutions to the null geodesic equations
• Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity
• Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
• Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
• Correspondence between Loop-inspired and Braneworld Cosmology
• A self-sustained traversable scale-dependent wormhole
• Propagation and interaction of chiral states in quantum gravity
• The Physical Role of Gravitational and Gauge Degrees of Freedom in General Relativity - II: Dirac versus Bergmann observables and the Objectivity of Space-Time
• Discreteness of area in noncommutative space
• Accretion disk around a Schwarzschild black hole in asymptotic safety
• Relational Particle Models. I. Reconciliation with standard classical and quantum theory
• On the null energy condition in scale dependent frameworks with spherical symmetry
• Timelike surfaces in Lorentz covariant loop gravity and spin foam models
• Perturbative calculation of quasi-normal modes of Schwarzschild black holes
• Matrix General Relativity: A New Look at Old Problems
• Cosmological Analysis of Pilgrim Dark Energy in Loop Quantum Cosmology
• Hypersurface foliation approach to renormalization of ADM formulation of gravity
• Electroweak vacuum decay in metric-affine gravity
• Point-like sources and the scale of quantum gravity
• On Quantum Gravity If Non-Locality Is Fundamental
• About Lorentz invariance in a discrete quantum setting
• Torsion in string-inspired cosmologies and the universe dark sector
• Minimum length effects in black hole physics
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Dual redshift on Planck-scale-curved momentum spaces
• Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
• Global and Local Horizon Quantum Mechanics
• On quasi-normal modes of Kerr black holes
• Early Universe Dynamics in Semi-Classical Loop Quantum Cosmology
• Lagrangian constraints and renormalization of 4D gravity
• Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
• EPRL/FK Asymptotics and the Flatness Problem
• Modification of Schrödinger-Newton equation due to braneworld models with minimal length
• Polymer Parametrised Field Theory
• Schrödinger's cat for de Sitter spacetime
• Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Anti-de Sitter curvature radius constrained by quasars in brane-world scenarios
• Equivalence principle and HBAR entropy of an atom falling into a quantum corrected black hole
• The Cosmological Constant and the Deconstruction of Gravity
• Fisher Metric, Geometric Entanglement and Spin Networks
• Exhaustive investigation of the duration of inflation in effective anisotropic loop quantum cosmology
• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• Quantum gravity as a Fermi liquid
• Hubble operator in isotropic loop quantum cosmology
• Extra dimensions in CERN LHC via mini-black holes: effective Kerr-Newman brane-world effects
• Some Aspects of Holst and Nieh-Yan Terms in General Relativity with Torsion
• Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics
• Progress in the solving nonperturbative renormalization group for tensorial group field theory
• Unambiguous spin-gauge formulation of canonical general relativity with conformorphism invariance
• Semiclassical Quantum Gravity: Statistics of Combinatorial Riemannian Geometries
• The Noether Bessel Hagen Symmetry Approach for Dynamical Systems
• On the structure of the space of generalized connections
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Shadows and optical appearance of quantum-corrected black holes illuminated by static thin accretions
• Three Waves for Quantum Gravity
• Closed Timelike Curves, Singularities and Causality: A Survey from Gödel to Chronological Protection
• Generalized uncertainty principle in resonant detectors of gravitational waves
• A model for the very early Universe
• From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks
• Quasi-normal modes of a black hole localized on a codimension-two brane of finite tension
• Cosmic string in gravity's rainbow
• Loop Quantization of Polarized Gowdy Model on $T^3$: Kinematical States and Constraint Operators
• Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
• On Energy Conditions and Stability in Effective Loop Quantum Cosmology
• Higher-dimensional quantum Oppenheimer-Snyder model
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
• Revised Canonical Quantum Gravity via the Frame Fixing
• Presence of Dark Energy and Dark Matter : Does Cosmic Acceleration signifies a Weak Gravitational collapse?
• A simple background-independent hamiltonian quantum model
• A note about the quantum of area in a non-commutative space
• Ward-constrained melonic renormalization group flow for the rank-four ${\varphi }^6$ tensorial group field theory
• Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
• Random Holographic "Large Worlds" with Emergent Dimensions
• Constraining the loop quantum gravity parameter space from phenomenology
• Probing the generalized uncertainty principle through quantum noises in optomechanical systems
• Near horizon aspects (and beyond) of acceleration radiation of an atom falling into a large class of static spherically symmetric black hole geometries
• Possible quantum gravity effects on the gravitational deflection of light
• Path integral action of a particle with the generalized uncertainty principle and correspondence with noncommutativity
• Massless Dirac Perturbations in a Consistent Model of Loop Quantum Gravity Black Hole: Quasinormal Modes and Particle Emission Rates
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Quantum simulations of a qubit of space
• Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Thermal quantum correlations in two gravitational cat states
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• Probing the Effects of Lorentz-Symmetry Violating Chern-Simons and Ricci-Cotton Terms in Higher Derivative Gravity
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Brane-world black hole entropy from modified dispersion relations
• A Noncommutative Deformation of General Relativity
• C, P, and T of Braid Excitations in Quantum Gravity
• The Early Universe in Loop Quantum Cosmology
• Scale-dependent slowly rotating black holes with flat horizon structure
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
• Reliability of the local truncations for the random tensor models renormalization group flow
• Path integral action in the generalized uncertainty principle framework
• The implications of noninertial motion on covariant quantum spin
• Effects of the Generalized Uncertainty Principle on the Inflation Parameters
• Planck Stars from a Scale-dependent Gravity theory
• Causality in Spin Foam Models
• Conserved Quantities and the Algebra of Braid Excitations in Quantum Gravity
• Bouncing Braneworld Cosmologies and Initial Conditions to Inflation
• GUP and Point Interaction
• Thermodynamics in Loop Quantum Cosmology
• Topspin Networks in Loop Quantum Gravity
• Classical polymerization of the Schwarzschild metric
• Modified Friedmann equation and survey of solutions in effective Bianchi-I loop quantum cosmology
• Quantum Geometry as a Relational Construct
• Our Universe from the cosmological constant
• Gravitational Collapse In Vaidya Space-time For Galileon Gravity Theory
• Ghost Equations and Diffeomorphism Invariant Theories
• Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
• Could the variation in quasar luminosity, due to extra dimension 3-brane in RS model, be measurable?
• Flowing in discrete gravity models and Ward identities: A review
• Variation in the luminosity of Kerr quasars due to extra dimension in brane Randall-Sundrum model
• Virtual black hole phenomenology from 2d dilaton theories
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• Effective Theory of Braid Excitations of Quantum Geometry in terms of Feynman Diagrams
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Geodetic precession and shadow of quantum extended black holes
• One-loop effective action of the IKKT model for cosmological backgrounds
• Loop Quantum Geometry: A primer
• Generalized commutation relations and Non linear momenta theories, a close relationship
• The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox
• Extent of the Immirzi Ambiguity in Quantum General Relativity
• The Noether Symmetry Approach: Foundation and applications. The case of scalar-tensor Gauss-Bonnet gravity
• The structure of fixed-point tensor network states characterizes patterns of long-range entanglement
• Bouncing universe of entropy-corrected Friedmann equations
• On the effectiveness of the collapse in the Diósi-Penrose model
• Could Planck Star Remnants be Dark Matter?
• Predictive description of Planck-scale-induced spacetime fuzziness
• Corrections to flat-space particle dynamics arising from space granularity
• How can rainbow gravity affect on gravitational force?
• Generalized uncertainty principle and $D$-dimensional quantum mechanics
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)
• Some results concerning the representation theory of the algebra underlying loop quantum gravity
• Breakdown of Lorentz Invariance for Spin-1/2 Particle Motion in Curved Space-Time with Applications to Muon Decay
• Gravitational corrections to two-loop beta function in quantum electrodynamics
• When Do Measures on the Space of Connections Support the Triad Operators of Loop Quantum Gravity?
• Towards a possible solution for the coincidence problem: f(G) gravity as background
• The quantum clock: a critical discussion on space-time
• Two-body decays in deformed relativity
• Interacting Generalised Cosmic Chaplygin gas in Loop quantum cosmology: A singularity free universe
• Quantum clock: A critical discussion on spacetime
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Definition of a time variable with Entropy of a perfect fluid in Canonical Quantum Gravity
• Wheeler's It from Bit Proposal in Loop Quantum Gravity
• Emergent Universe With Exotic Matter In Loop Quantum Cosmology, DGP Brane World and Kaluza-Klein Cosmology
• Quantum mechanics and geodesic deviation in the brane world
• Gravitational Collapse in Scale-Dependent Gravity
• Extending the QMM Framework to the Strong and Weak Interactions
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Functional evolution of quantum cylindrical waves
• Averaged null energy condition in Loop Quantum Cosmology
• Late time cosmic acceleration from natural infrared cutoff?
• Fundamental physics in space: a Quantum-Gravity perspective
• The effects of running gravitational coupling on three dimensional black holes
• Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime
• Path integral action for a resonant detector of gravitational waves in the generalized uncertainty principle framework
• Inflationary Quantum Cosmology: General Framework and Exact Bianchi I Solution
• Gravitational renormalization of quantum field theory
• BF gravity with Immirzi parameter and matter fields
• Conformally Coupled General Relativity
• A Note on the Symmetry Reduction of SU(2) on Horizons of Various Topologies
• Schrödinger's Black Hole Cat
• Path Integral for Non-Paraxial Optics
• Viscous Chaplygin Gas Models as a Spherical Top-Hat Collapsing Fluids
• Introduction to gravitational redshift of quantum photons propagating in curved spacetime
• Reconstruction of $f(T,\mathcal{T})$ Lagrangian for various cosmological scenarios
• Bianchi type I, Schutz perfect fluid and evolutionary quantum cosmology
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Experimental Tests of Invariant Set Theory
• Area Operator in Loop Quantum Gravity
• Quantization of static space-times
• Charged shells and elementary particles
• Coincidence Problem in f(T) Gravity Models
• Minimal length scale correction in the noise of gravitons
• Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
• No Ward-Takahashi identity violation for an Abelian tensorial group field theories with closure constraint
• On the symmetry of the vacuum in theories with spontaneous symmetry breaking
• Correlations between emission events in Rainbow Gravity
• Critical Space-Time Networks and Geometric Phase Transitions from Frustrated Edge Antiferromagnetism
• Thermodynamics of an Evolving Lorentzian Wormhole with Entropy Corrections
• Extracting Geometry from Quantum Spacetime: Obstacles down the road
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Quantum Entanglement with Generalized Uncertainty Principle
• Unspeakables and the Epistemological path towards Quantum Gravity
• Extended uncertainty principle and Van der Waals black holes
• Rainbow Rindler metric and Unruh effect
• Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory
• Large-$d$ behavior of the Feynman amplitudes for a just-renormalizable tensorial group field theory
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Loop Quantum Gravity effects on electromagnetic properties of charged leptons
• Quantum Corrected Geodesic Motion in Polymer Kerr-like Spacetime
• Rényi and von Neumann entropies of thermal state in Generalized Uncertainty Principle-corrected harmonic oscillator
• Maximal acceleration in non-commutative space-time and its implications
• Linearized Field Equations and Extra Force in $f(R,{\mathbf{T}}^{(n)})$ Extended Gravity
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
• Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Quantum thermodynamics in the interior of a Schwarzschild B-H
• Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
• Relativistic Planck-scale polymer
• On the black hole singularity issue in loop quantum gravity
• Dark matter as the Bose-Einstein condensation in loop quantum cosmology
• Rainbow Spacetime from a Nonlocal Gravitational Uncertainty Principle
• Spherically-symmetric geometries in a matter reference frame as quantum gravity condensates
• Bouncing scalar field cosmology in the polymeric minisuperspace picture
• Quantum Field Theory of Open Spin Networks and New Spin Foam Models
• Quantum Topology Change and Large N Gauge Theories
• General Bianchi IX dynamics in bouncing braneworld cosmology: homoclinic chaos and the BKL conjecture
• Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
• Exploring the Tomlin-Varadarajan quantum constraints in $U(1{)}^3$ loop quantum gravity: solutions and the Minkowski theorem
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• Power spectrum and anisotropy of super inflation in loop quantum cosmology
• Immirzi Ambiguity, Boosts and Conformal Frames for Black Holes
• Canonical and symplectic analysis for three dimensional gravity without dynamics
• From area metric backgrounds to the cosmological constant and corrections to the Polyakov action
• Immirzi Ambiguity in the Kinematics of Quantum General Relativity
• Conformal Cores of Quantum Black Holes in Quadratic Gravity
• Loop Quantum Corrections to Statefinder Parameters of Dark Energy
• Gravitational renormalization of quantum field theory: a "conservative" approach
• Quasinormal Modes and Shadows of Black Holes in Infinite Derivative Theory of Gravity
• The Theory of a Quantum Noncanonical Field in Curved Spacetimes
• A Quantum Many-Body Instability in the Thermodynamic Limit
• Embedded graph invariants in Chern-Simons theory
• New Spin Foam Models of Quantum Gravity
• On the Lorentz symmetry in conformally reduced Quantum Gravity
• Quantum fluctuations of the compact phase space cosmology
• Quantum Gravity
• Conserved Quantities for Interacting Four Valent Braids in Quantum Gravity
• Quantum Cauchy Surfaces in Canonical Quantum Gravity
• Expansion operators in spherically symmetric loop quantum gravity
• On the testability of the Károlyházy model
• Emergence of General Relativity from Loop Quantum Gravity: A Summary
• An alternative formalism for modeling spin
• Quantum thermodynamics in the interior of a Reissner-Nordström black-hole
• Yang-Mills extension of the Loop Quantum Gravity-corrected Maxwell equations
• Barboza-Alcaniz Equation of State Parametrization : Constraining the Parameters in Different Gravity Theories
• Black Hole Quasi-Periodic Oscillations in the Presence of Gauss-Bonnet Trace Anomaly
• Consistency analysis of a CPT-even and CPT-odd lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field
• Gravity as a classical channel and its dissipative generalization
• From minimal-length quantum theory to modified gravity
• A Loop Quantum Gravity Inspired Action for the Bosonic String and Emergent Dimensions at Large Scales
• A Concept of Assessment of LIV Tests with THESEUS Using the Gamma-Ray Bursts Detected by Fermi/GBM
• Noncommutative scalar fields in compact spaces: quantisation and implications
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Signatures of quantum geometry from exponential corrections to the black hole entropy
• Higher order GUP black hole based on COW experiment and Einstein-Bohr's photon box
• Quantum Reference Frames via Transition Amplitudes in Timeless Quantum Gravity
• Expanding and Self-Organizing 2D Universe Models Emerging from Frozen Trivalent Spin Networks
• Gravitational Waves in Braneworld Scenarios with AdS Background
• Non-commutative fermion mass matrix and gravity
• Hamilton-Jacobi analysis for three dimensional gravity without dynamics
• The Extended Uncertainty Principle from a Projector-Valued Measurement Perspective
• De Sitter scattering amplitudes in the Born approximation
• Chiral gravity in higher dimensions
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• A quantum theory of gravity
• A-Relativity: A General Theory of Gravity from Structure Sheaf
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Time-covariant Schrödinger equation and invariant decay probability: The $\Lambda$-Kantowski-Sachs universe
• Cosmic inflation in metric-affine gravity
• The emergent Big Bang scenario
• On the physical running of the electric charge in a dimensionless theory of gravity
• Aharonov-Bohm-Like Scattering in the Generalized Uncertainty Principle-corrected Quantum Mechanics
• A window to quantum gravity phenomena in the emergence of the seeds of cosmic structure
• Quantum Spacetime: Echoes of basho
• Decay of uniformly rotating particles
• Gaussian Planck Relics are Ruled-Out as Dark Matter by LIGO
• Charting GLOBs in Asymptotically Safe Gravity
• Planckian charged black holes and their cosmological ramifications
• Fermionic Casimir effect in the presence of compact dimension in field theory with Lorentz invariance violation
• Loop Equations in Abelian Gauge Theories
• A Note on the Integral Formulation of Einstein's Equations Induced on a Braneworld
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities
• Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics
• Singularities in loop quantum cosmology