Quantum Geometry and Black Hole Entropy

Abstract

A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large non-rotating black hole is proportional to its horizon area. The constant of proportionality depends upon the Immirzi parameter, which fixes the spectrum of the area operator in loop quantum gravity; an appropriate choice of this parameter gives the Bekenstein-Hawking formula S = A/4*l_p^2. With the same choice of the Immirzi parameter, this result also holds for black holes carrying electric or dilatonic charge, which are not necessarily near extremal.

Revtex, 8 pages, 1 figure

References in corpus (6)

• Real and complex connections for canonical gravity
• Quantum Gravity and Regge Calculus
• The Immirzi parameter in quantum general relativity
• Quantum Geometry and Thermal Radiation from Black Holes
• Quantum States of Black Holes
• Loop Quantization of Maxwell Theory and Electric Charge Quantization

Cited by in corpus (724)

• Background Independent Quantum Gravity: A Status Report
• Nonstandard optics from quantum spacetime
• Thermodynamical Aspects of Gravity: New insights
• Isolated and dynamical horizons and their applications
• The Thermodynamics of Black Holes
• Black hole entropy in Loop Quantum Gravity
• Quantum Information and Relativity Theory
• The Spin Foam Approach to Quantum Gravity
• Logarithmic correction to the Bekenstein-Hawking entropy
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Gravity and the Thermodynamics of Horizons
• Loop Quantum Cosmology
• Quantum gravity corrections to neutrino propagation
• Black Holes
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• General Logarithmic Corrections to Black Hole Entropy
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Hawking Radiation and Black Hole Thermodynamics
• Quantum Gravity: a Progress Report
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Dynamical Horizons and their Properties
• Spin Foam Models
• Isolated Horizons: Hamiltonian Evolution and the First Law
• Loop quantum gravity and light propagation
• When conceptual worlds collide: The GUP and the BH entropy
• Hawking temperature in the tunneling picture
• A Short Review of Loop Quantum Gravity
• Black hole evaporation: A paradigm
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Generic Isolated Horizons and their Applications
• Mechanics of Rotating Isolated Horizons
• Hawking Radiation as Tunneling through the Quantum Horizon
• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• Dynamic black-hole entropy
• Isotropic Loop Quantum Cosmology
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Generalized Uncertainty Principle: Approaches and Applications
• Decomposition of entanglement entropy in lattice gauge theory
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Geometry of Generic Isolated Horizons
• Black Hole Thermodynamics
• Mechanics of Isolated Horizons
• Inflation from Quantum Geometry
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Isolated Horizons: A Generalization of Black Hole Mechanics
• Gauge Field Theory Coherent States (GCS) : I. General Properties
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Gauge Field Theory Coherent States (GCS) : II. Peakedness Properties
• Horizon Entropy
• Modified Friedmann Equations from Tsallis Entropy
• Loop quantum gravity: an outside view
• Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
• QSD III : Quantum Constraint Algebra and Physical Scalar Product in Quantum General Relativity
• Black Holes in Loop Quantum Gravity
• Black hole entropy and SU(2) Chern-Simons theory
• Thermal Fields, Entropy, and Black Holes
• The Area Operator in the Spherically Symmetric Sector of Loop Quantum Gravity
• Black hole quantum tunnelling and black hole entropy correction
• Quantum Symmetry Reduction for Diffeomorphism Invariant Theories of Connections
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Spacetime structure near generic horizons and soft hair
• Introduction to Loop Quantum Cosmology
• Thermodynamics of apparent horizon and modified Friedman equations
• Quantization Ambiguities in Isotropic Quantum Geometry
• Entropic Corrections to Friedmann Equations
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• An invitation to loop quantum gravity
• Power-law corrections to entanglement entropy of horizons
• Black hole entropy and isolated horizons thermodynamics
• Gauge Field Theory Coherent States (GCS) : III. Ehrenfest Theorems
• Quantum evaporation of a naked singularity
• Quantum gravity with a positive cosmological constant
• Gauge Field Theory Coherent States (GCS) : IV. Infinite Tensor Product and Thermodynamical Limit
• Spin-Foams for All Loop Quantum Gravity
• A black hole mass threshold from non-singular quantum gravitational collapse
• Near-Horizon Conformal Symmetry and Black Hole Entropy
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• Dynamical Initial Conditions in Quantum Cosmology
• Asymptotic safety casts its shadow
• The Semiclassical Limit of Loop Quantum Cosmology
• Loop quantum cosmology and inhomogeneities
• Quantum gravity and spin 1/2 particles effective dynamics
• Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
• Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
• SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Quantum Spin Dynamics (QSD) : VII. Symplectic Structures and Continuum Lattice Formulations of Gauge Field Theories
• The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
• Shadow and stability of quantum-corrected black holes
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Statistical Entropy of a Stationary Dilaton Black Hole from Cardy Formula
• Detailed black hole state counting in loop quantum gravity
• Interaction of the Barbero--Immirzi Field with Matter and Pseudo-Scalar Perturbations
• Black holes and information theory
• Spacetime foam: from entropy and holography to infinite statistics and nonlocality
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Relation between polymer and Fock excitations
• Thermal Fluctuations and Black Hole Entropy
• Black Hole Thermodynamics and the Factor of 2 Problem
• Black hole thermodynamics under the microscope
• A comment on black hole entropy or does Nature abhor a logarithm?
• Asymptotic symmetries on Killing horizons
• Potential gravitational-wave signatures of quantum gravity
• Perturbations of spinning black holes beyond General Relativity: Modified Teukolsky equation
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Towards Noncommutative Quantum Black Holes
• f(T) modified teleparallel gravity models as an alternative for holographic and new agegraphic dark energy models
• Observational issues in loop quantum cosmology
• How far are we from the quantum theory of gravity?
• Entropy-Corrected Holographic Dark Energy
• Exponential corrections to black hole entropy
• Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
• Barbero-Immirzi field in canonical formalism of pure gravity
• How Far Are We from the Quantum Theory of Gravity?
• On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
• Black hole entropy quantization
• Loop Quantum Gravity and the Cyclic Universe
• Is Barbero's Hamiltonian formulation a Gauge Theory of Lorentzian Gravity?
• Entropy and temperature of black holes in a gravity's rainbow
• SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Observational test of inflation in loop quantum cosmology
• Entanglement Entropy in Loop Quantum Gravity
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• Dirty black holes: Symmetries at stationary non-static horizons
• Space-Times Admitting Isolated Horizons
• Can Spacetime be a Condensate?
• The Bianchi IX model in Loop Quantum Cosmology
• Black hole entropy and thermodynamics from symmetries
• Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
• Dirty black holes: Spacetime geometry and near-horizon symmetries
• On area and entropy of a black hole
• Effective Spin Foam Models for Four-Dimensional Quantum Gravity
• Entropic Inflation
• A new holographic entropy bound from quantum geometry
• Interacting holographic dark energy with logarithmic correction
• Gravitation, Thermodynamics, and Quantum Theory
• How robust is the entanglement entropy-area relation?
• Topological deformation of isolated horizons
• Non-minimally coupled scalar fields and isolated horizons
• Strings, loops and others: a critical survey of the present approaches to quantum gravity
• Inflationary universe in loop quantum cosmology
• Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes
• From a locality-principle for new physics to image features of regular spinning black holes with disks
• Statistics, holography, and black hole entropy in loop quantum gravity
• Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures
• Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmolog
• Quantum corrections to thermodynamics of quasitopological black holes
• Newtonian gravity in loop quantum gravity
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• Lanczos-Lovelock gravity from a thermodynamic perspective
• The loop gravity string
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• Quasi-local rotating black holes in higher dimension: geometry
• Noether Current, Horizon Virasoro Algebra and Entropy
• Quantum horizons and black hole entropy: Inclusion of distortion and rotation
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Selected solutions of Einstein's field equations: their role in general relativity and astrophysics
• Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology
• Interacting entropy-corrected agegraphic-tachyon dark energy
• T-Witts from the horizon
• Counting black hole microscopic states in loop quantum gravity
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Exact solutions for Big Bounce in loop quantum cosmology
• Correspondence between entropy-corrected holographic and Gauss-Bonnet dark energy models
• Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole
• The combinatorics of the SU(2) black hole entropy in loop quantum gravity
• Quasinormal Spectrum and Quantization of Charged Black Holes
• Black hole entropy calculations based on symmetries
• Quantum geometry and microscopic black hole entropy
• Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
• Thermodynamics and Phase transition from regular Bardeen black hole
• A Hamilton-Jacobi Formalism for Thermodynamics
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity
• Evolution of Spacetime arises due to the departure from Holographic Equipartition in all Lanczos-Lovelock Theories of Gravity
• Entropy Conservation of Linear Dilaton Black Holes in Quantum Corrected Hawking Radiation
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Warm inflationary model in loop quantum cosmology
• Properties of the Volume Operator in Loop Quantum Gravity I: Results
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Gravitational edge modes: From Kac-Moody charges to Poincaré networks
• Yang-Mills analogues of the Immirzi ambiguity
• Black Hole Entropy from Horizon Conformal Field Theory
• Canonical entropy of three-dimensional BTZ black hole
• Constructing a counterexample to the black hole complementarity
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Holographic dark energy in Brans-Dicke theory with log correction
• Renormalization and black hole entropy in Loop Quantum Gravity
• Interacting entropy-corrected new agegraphic dark energy in Brans-Dicke cosmology
• Black Hole Entropy with minimal length in Tunneling formalism
• Cosmic accelerated expansion and the entropy corrected holographic dark energy
• Supersymmetric Spin Networks and Quantum Supergravity
• Black Hole Thermodynamics from Near-Horizon Conformal Quantum Mechanics
• Quantization of Midisuperspace Models
• Quantum-mechanical model of the Kerr-Newman black hole
• Breakdown of the Entropy/Area Relationship for NUT-charged Spacetimes
• Interacting entropy-corrected new agegraphic tachyon, K-essence and dilaton scalar field models of dark energy in non-flat universe
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• Loop quantum gravity and quanta of space: a primer
• The covariant entropy bound and loop quantum cosmology
• Non-minimal couplings, quantum geometry and black hole entropy
• Area spectrum and quasinormal modes of black holes
• Quantum Geometry and Thermal Radiation from Black Holes
• Quasinormal modes of a holonomy corrected Schwarzschild black hole
• Kerr black hole quasinormal frequencies
• Symmetries, Horizons, and Black Hole Entropy
• Growth of Perturbations in Tsallis and Barrow Cosmology
• Information loss and entropy conservation in quantum corrected Hawking radiation
• Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
• Isotropic Loop Quantum Cosmology with Matter
• Quantum Gravity: A Brief History of Ideas and Some Prospects
• Quantum signatures of black hole mass superpositions
• On the Physical Hilbert Space of Loop Quantum Cosmology
• Quantum evolution of black hole initial data sets: Foundations
• Mass Spectrum and Statistical Entropy of the BTZ black hole from Canonical Quantum Gravity
• Critical Overview of Loops and Foams
• Consistency Conditions for Fundamentally Discrete Theories
• Hilbert space structure of covariant loop quantum gravity
• Discrete gravity dynamics from effective spin foams
• Thermodynamics of interacting entropy-corrected holographic dark energy in a non-flat FRW universe
• Observational constraints of the modified cosmology through Barrow entropy
• Semiclassical quantisation of space-times with apparent horizons
• Polymer quantization of the free scalar field and its classical limit
• Flux-area operator and black hole entropy
• Geometric temperature and entropy of quantum isolated horizons
• Holographic screens in ultraviolet self-complete quantum gravity
• The Dark Side of a Patchwork Universe
• The century of the incomplete revolution: searching for general relativistic quantum field theory
• Black Hole Thermodynamics and Statistical Mechanics
• CFT/Gravity Correspondence on the Isolated Horizon
• Loop Quantum Gravity
• Quasinormal modes prefer supersymmetry ?
• Tunneling through the quantum horizon
• Consistent canonical quantization of general relativity in the space of Vassiliev knot invariants
• The Weyl curvature conjecture and black hole entropy
• Relic gravitons as the observable for Loop Quantum Cosmology
• Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications
• Coordinate time dependence in Quantum Gravity
• On the computation of black hole entropy in loop quantum gravity
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Inflationary scalar spectrum in loop quantum cosmology
• Holographic Formulation of Quantum Supergravity
• Loop quantum black hole
• Black Hole Entropy, Loop Gravity, and Polymer Physics
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• Generating functions for black hole entropy in Loop Quantum Gravity
• On the role of the Barbero-Immirzi parameter in discrete quantum gravity
• Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
• Schwarzschild horizon dynamics and SU(2) Chern-Simons theory
• Canonical Quantization and the Statistical Entropy of the Schwarzschild Black Hole
• Embeddings of the Virasoro algebra and black hole entropy
• On the Quantum Density of States and Partitioning an Integer
• Surface terms, Asymptotics and Thermodynamics of the Holst Action
• The entropy of black holes: a primer
• Gravitational lensing effect of black holes in effective quantum gravity
• Perturbed thermodynamics and thermodynamic geometry of a static black hole in $f(R)$ gravity
• Probing Loop Quantum Gravity with Evaporating Black Holes
• An elementary introduction to loop quantum gravity
• Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Particles in Loop Quantum Gravity formalism: a thermodynamical description
• Black-hole entropy and minimal diffusion
• Thermodynamical universality of the Lovelock black holes
• Tsallis holographic dark energy for inflation
• Observational constraints on Tsallis modified gravity
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• A model for the motion of a particle in a quantum background
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles
• Mode solutions for a Klein-Gordon field in anti-de Sitter spacetime with dynamical boundary conditions of Wentzell type
• Expanding the Area of Gravitational Entropy
• Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
• Hamiltonian Thermodynamics of Charged Black Holes
• Black hole horizons from within loop quantum gravity
• Dynamical Love for area quantized black holes
• A Quantum Gravitational Relaxation of The Cosmological Constant
• Generic isolated horizons in loop quantum gravity
• Where are the black hole entropy degrees of freedom ?
• Accretion disk around a Schwarzschild black hole in asymptotic safety
• Symmetry and entropy of black hole horizons
• Quasinormal Modes and Phase Structure of Regular $AdS$ Einstein-Gauss-Bonnet Black Holes
• Dark Energy Interacting with Dark Matter in Classical Einstein and Loop Quantum Cosmology
• On the Mechanism of Hawking Radiation
• Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics
• Eleven dimensional supergravity as a constrained topological field theory
• Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation
• Black Hole Entropy from Spin One Punctures
• Laws of Black Hole Mechanics from Holst Action
• Perfect mirrors and the self-accelerating box paradox
• Tachyon Matter in Loop Quantum Cosmology
• Quantum Black Holes from Quantum Collapse
• Hamiltonian treatment of linear field theories in the presence of boundaries: a geometric approach
• Black Hole Entropy in Induced Gravity: Reduction to 2D Quantum Field Theory on the Horizon
• Quantum-Corrected Cardy Entropy for Generic 1+1-Dimensional Gravity
• Entropy of Isolated Horizons revisited
• From spin foams to area metric dynamics to gravitons
• Intermediate Asymptotics of the Kerr Quasinormal Spectrum
• Gravitational lens effect of a holonomy corrected Schwarzschild black hole
• Horizon entropy with loop quantum gravity methods
• Static and Infalling Quasilocal Energy of Charged and Naked Black Holes
• Topological parameters in gravity
• Entropy calculation for a toy black hole
• Black hole state degeneracy in Loop Quantum Gravity
• Sub-leading contributions to the black hole entropy in the brick wall approach
• Chern-Simons expectation values and quantum horizons from LQG and the Duflo map
• Observational hints on the Big Bounce
• Gravitational Statistical Mechanics: A model
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Polymeric Quantization and Black Hole Thermodynamics
• Black holes in full quantum gravity
• Generic predictions of quantum theories of gravity
• Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
• Black Hole Thermodynamics from Euclidean Horizon Constraints
• Holography, Quantum Geometry, and Quantum Information Theory
• The Entropy of the Rotating Charged Black Threebrane from a Brane-Antibrane System
• Imprint of black hole area quantization and Hawking radiation on inspiraling binary
• Statistical description of the black hole degeneracy spectrum
• Spherically Symmetric Quantum Horizons
• Radiation from quantum weakly dynamical horizons in LQG
• Logarithmic entropy--corrected holographic dark energy with non--minimal kinetic coupling
• Evolution of Primordial Black Holes in Loop Quantum Gravity
• The universal area spectrum in single-horizon black holes
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• Quantum Aspects of Black Hole Entropy
• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• Polymer Parametrised Field Theory
• Generic degeneracy and entropy in loop quantum gravity
• Polymer quantization and the saddle point approximation of partition functions
• A topological limit of gravity admitting an SU(2) connection formulation
• Bekenstein bound from the Pauli principle
• Toward explaining black hole entropy quantization in loop quantum gravity
• Logarithmic correction to BH entropy as Noether charge
• Black hole spectroscopy from Loop Quantum Gravity models
• Canonical quantum gravity in the Vassiliev invariants arena: II. Constraints, habitats and consistency of the constraint algebra
• Modified entropies, their corresponding Newtonian forces, potentials, and temperatures
• Entropy of black holes with arbitrary shapes in loop quantum gravity
• Horizon Strings as 3d Black Hole Microstates
• Statistical Entropy of Schwarzschild Black Strings and Black Holes
• On alternative approaches to Lorentz violation in loop quantum gravity inspired models
• Black Holes in de Sitter Space: Masses, Energies and Entropy Bounds
• A Survey of Black Hole Thermodynamics
• Black hole entropy, log corrections and quantum ergosphere
• The Area Spectrum in Quantum Gravity
• A proposal for analyzing the classical limit of kinematic loop gravity
• Modified Friedmann Equations From Debye Entropic Gravity
• Noether Current, Black Hole Entropy and Spacetime Torsion
• Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory
• Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy
• Continuous area spectrum in regular black hole
• Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
• The spectrum of quantum black holes and quasinormal modes
• Coherent States for Black Holes
• Higher-dimensional quantum Oppenheimer-Snyder model
• Black Hole Entropy and the Problem of Universality
• Area Quantization in Quasi-Extreme Black Holes
• Scale-invariant rotating black holes in quadratic gravity
• Observations on interfacing loop quantum gravity with cosmology
• Apparent horizons, black hole entropy and loop quantum gravity
• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity
• Entropy from near-horizon geometries of Killing horizons
• Noncommutativity and logarithmic correction to the black hole entropy
• Dynamical evaporation of quantum horizons
• Entropy of Quantum Black Holes
• From Planck area to graph theory: Topologically distinct black hole microstates
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Horizons, Constraints, and Black Hole Entropy
• Some surprising implications of background independence in canonical quantum gravity
• Spectroscopy of a canonically quantized horizon
• Anti-de Sitter black holes, perfect fluids, and holography
• Band structure in the polymer quantization of the harmonic oscillator
• Quantum simulations of a qubit of space
• Quanta of Geometry and Rotating Black Holes
• Quantum Black Holes: the Event Horizon as a Fuzzy Sphere
• Thermodynamical description of interacting entropy-corrected new agegraphic dark energy
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Implications of minimum-length deformed quantum mechanics for QFT/QG
• The subtle unphysical hypothesis of the firewall theorem
• Thermal Stability Of Charged Rotating Quantum Black Holes
• A candidate for a background independent formulation of M theory
• Remarks on 2+1 Self-dual Chern-Simons Gravity
• Boundary Terms and Noether Current of Sphereical Black Holes
• Quantum Hairs and Entropy of Quantum Isolated Horizon from Chern-Simons Theory
• The Immirzi parameter from an external scalar field
• Revisiting the black hole entropy and the information paradox
• The Geometrodynamics of Sine-Gordon Solitons
• Interacting entropy-corrected holographic dark energy with apparent horizon as an infrared cutoff
• The thermodynamic limit and black hole entropy in the area ensemble
• Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
• Gravitational Collapse in the EGB Gravity
• Thermally correlated states in Loop Quantum Gravity
• The Early Universe in Loop Quantum Cosmology
• BF theory explanation of the entropy for rotating isolated horizons
• Statistical Thermodynamics of Polymer Quantum Systems
• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Building a case for a Planck-scale-deformed boost action: the Planck-scale particle-localization limit
• Ambiguity of black hole entropy in loop quantum gravity
• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• Interacting entropy-corrected holographic Chaplygin gas model
• Entropy in the Classical and Quantum Polymer Black Hole Models
• Quasi-Local Energy in Loop Quantum Gravity
• A Note on Black Hole Entropy in Loop Quantum Gravity
• Partition Function of the Schwarzschild Black Hole
• Eigenvalues of the volume operator in loop quantum gravity
• Energy distribution and thermodynamics of the quantum-corrected Schwarzschild black hole
• Noether current from surface term, Virasoro algebra and black hole entropy in bigravity
• Black Hole Entropy and the Problem of Universality
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• A Gaussian Weave for Kinematical Loop Quantum Gravity
• The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation
• Hawking radiation from dynamical horizons
• Gravastar under the framework of braneworld gravity II: effect of the Kuchowicz metric function
• Topspin Networks in Loop Quantum Gravity
• A quasilocal Hamiltonian for gravity with classical and quantum applications
• Quantum Geometry and its Implications for Black Holes
• Interface of General Relativity, Quantum Physics and Statistical Mechanics: Some Recent Developments
• Local symmetries of non-expanding horizons
• Black Hole Thermodynamics: Entropy, Information and Beyond
• Area Law from Loop Quantum Gravity
• Black-hole horizons in modified space-time structures arising from canonical quantum gravity
• Quantum Geometry as a Relational Construct
• Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
• Spectrum and Statistical Entropy of AdS Black Holes
• Conformal entropy for generalised gravity theories as a consequence of horizon properties
• Quantization of scalar fields coupled to point-masses
• Black hole radiation spectrum in LQG: Isolated Horizon framework
• Is Physics Asking for a New Kinematics?
• Interacting entropy-corrected holographic scalar field models in non-flat universe
• Local entropy of a nonequilibrium fermion system
• Corner symmetry and quantum geometry
• Loop Quantum Gravity's Boundary Maps
• Black hole complementarity with the generalized uncertainty principle in gravity's rainbow
• Entanglement entropy and correlations in loop quantum gravity
• Thermal stability of black holes with arbitrary hairs
• Resolving the Schwarzschild singularity in both classic and quantum gravity
• An Exploration of the Black Hole Entropy via the Weyl Tensor
• A note on black hole entropy, area spectrum, and evaporation
• Quintessence and (Anti-)Chaplygin Gas in Loop Quantum Cosmology
• Statistical entropy of the Schwarzschild black hole
• Selection Rules for Black-Hole Quantum Transitions
• Comparison of area spectra in loop quantum gravity
• Extent of the Immirzi Ambiguity in Quantum General Relativity
• Toward a Quantization of Null Dust Collapse
• When is S=A/4?
• The Meissner effect for weakly isolated horizons
• Quasilocal conformal Killing horizons: Classical phase space and the first law
• Novel black hole bound states and entropy
• Noncommutative correction to the entropy of charged BTZ black hole
• Interacting Ricci Logarithmic Entropy Corrected Holographic Dark Energy in Brans-Dicke Cosmology
• On the Universality of the Entropy-Area Relation
• Black hole entropy for the general area spectrum
• Quantum Computation toward Quantum Gravity
• Quantum Gravity Yesterday and Today
• Quasilocal rotating conformal Killing horizons
• Computing Black Hole entropy in Loop Quantum Gravity from a Conformal Field Theory perspective
• On the counting of black hole states in loop quantum gravity
• Spectrum of quantized black hole, correspondence principle, and holographic bound
• On the value of the Immirzi parameter and the horizon entropy
• Interacting viscous entropy-corrected holographic scalar field models of dark energy with time-varying G in modified FRW cosmology
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• Kerr-Newman black hole in the formalism of isolated horizons
• Poisson Algebra of Diffeomorphism Generators in a Spacetime Containing a Bifurcation
• CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula
• BTZ Black Hole Entropy from Ponzano-Regge Gravity
• Quantum-Corrected Entropy for 1+1-Dimensional Gravity Revisited
• The thermodynamics of isolated horizons in loop quantum gravity
• Spontaneous Radiation of Black Holes
• Isolated Horizons: the Classical Phase Space
• Polymer Quantum Mechanics as a Deformation Quantization
• Gravitational anomalies and entropy
• Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
• Black hole horizons can hide positive heat capacity
• Thermal Fluctuations And Correlations Among Hairs Of Stable Quantum ADS Kerr-Newman Black Hole
• Quantized Black Holes, Their Spectrum and Radiation
• Ashtekar-Barbero holonomy on the hyperboloid: Immirzi parameter as a Cut-off for Quantum Gravity
• A Correction to the Immirizi Parameter of SU(2) Spin Networks
• How can rainbow gravity affect on gravitational force?
• Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group
• The Polymer representation for the scalar field: A Wigner functional approach
• Supersymmetric isolated horizons
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Is entanglement entropy proportional to area?
• Quantum Gravity at the Turn of the Millennium
• Wormhole Spaces: the Common Cause for the Black Hole Entropy-Area Law,the Holographic Principle and Quantum Entanglement
• Transgressing the horizons: Time operator in two-dimensional dilaton gravity
• The thermodynamics of quantum spacetime histories
• Knot theory and a physical state of quantum gravity
• A fixed point for black hole distributions
• The Barbero-Immirzi Parameter: An Enigmatic Parameter of Loop Quantum Gravity
• Do subleading corrections to Bekenstein-Hawking entropy hold the key to quantum gravity?
• How Is the Maximum Entropy of a Quantized Surface Related to Its Area?
• Physics-to-gauge conversion at black hole horizons
• Towards black hole entropy in chiral loop quantum supergravity
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Modeling black hole evaporative mass evolution via radiation from moving mirrors
• Renyi Entropy Correction to Expanding Universe
• The theta parameter in loop quantum gravity: effects on quantum geometry and black hole entropy
• Canonical ``Loop'' Quantum Gravity and Spin Foam Models
• Entanglement as a source of black hole entropy
• Connecting horizon pixels and interior voxels of a black hole
• Noncommutative spaces and covariant formulation of statistical mechanics
• Universe scenarios from loop quantum cosmology
• Quantum Geometry of Isolated Horizons and Black Hole Entropy
• Quantum theory of charged isolated horizons
• Entangled Space-Time
• A Note on the Symmetry Reduction of SU(2) on Horizons of Various Topologies
• Entropy and Area of Black Holes in Loop Quantum Gravity
• Black Hole Thermodynamics without a Black Hole?
• Path integral renormalisation in loop quantum cosmology
• Logarithmic Corrections in Black Hole Entropy Product Formula
• Four-Dimensional Entropy from Three-Dimensional Gravity
• On the distribution of the eigenvalues of the area operator in loop quantum gravity
• The Mass Quantum and Black Hole Entropy
• Towards general relativity through parametrized theories
• The information-complete quantum theory
• Microscopic states of Kerr black holes from boundary-bulk correspondence
• Quantization of static space-times
• Geon black holes and quantum field theory
• Loop quantum gravity and Planck-size black hole entropy
• Varying Constants, Black Holes, and Quantum Gravity
• Black Remnants from T-Duality
• Spacetime Foam Model of the Schwarzschild Horizon
• Weakly Isolated Horizons: First order actions and gauge symmetries
• Holographic relations in loop quantum gravity
• Gravitational surface Hamiltonian and entropy quantization
• Quasi-probability distributions in Loop Quantum Cosmology
• An analytical computation of asymptotic Schwarzschild quasinormal frequencies
• Phase Transition in Loop Quantum Gravity
• Gravitational lensing in holonomy corrected spherically symmetric black holes with phantom global monopoles
• Considering boundary conditions for black hole entropy in loop quantum gravity
• Isolated Horizon, Killing Horizon and Event Horizon
• Noether Currents of Charged Spherical Black Holes
• Canonical Partition function of Loop Black Holes
• Unspeakables and the Epistemological path towards Quantum Gravity
• Thermodynamic and observational constraints on black holes with primary hair in Beyond Horndeski Gravity: Stability and shadows
• The Gibbs paradox, Black hole entropy and the thermodynamics of isolated horizons
• Kerr Isolated Horizons in Ashtekar and Ashtekar-Barbero Connection Variables
• A Logarithmic Correction in the Entropy Functional Formalism
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Analytic continuation of real Loop Quantum Gravity : Lessons from black hole thermodynamics
• Entropy bound for the photon gas in noncommutative spacetime
• Twistor representation of Jackiw-Teitelboim gravity
• Can One Understand Black Hole Entropy without Knowing Much about Quantum Gravity?
• A dialog on the fate of information in black hole evaporation
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• The geometry and entanglement entropy of surfaces in loop quantum gravity
• Holographic Naturalness and Topological Phase Transitions
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Aligned electromagnetic excitations of a black hole and their impact on its quantum horizon
• Generalized Interacting Dark Energy Model and Loop Quantum Cosmology
• Formation and Stability of Area Quantized Black Holes
• Small Black String Thermodynamics
• Higher order WKB corrections to black hole entropy in brick wall formalism
• On the Nature of Black Holes in Loop Quantum Gravity
• Level density of a Fermi gas and integer partitions: a Gumbel-like finite-size correction
• Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior
• Early universe thermostatistics in curved momentum spaces
• Evaporation Spectrum of Black Holes from a Local Quantum Gravity Perspective
• Comments on area spectra in Loop Quantum Gravity
• Finite entanglement entropy and spectral dimension in quantum gravity
• Decoding infrared imprints of quantum origins of black holes
• Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon
• Discreteness of Space from Anisotropic Spin-Orbit Interaction
• Gauge theories with non-trivial boundary conditions: Black holes
• A Possible Quantum Gravity Hint in Binary Black Hole Merger
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Dual Brane Pairs, Chains and the Bekenstein-Hawking Entropy
• General Logarithmic Corrections to Bekenstein-Hawking Entropy
• The black hole dynamical horizon and generalized second law of thermodynamics
• The fermionic contribution to the spectrum of the area operator in nonperturbative quantum gravity
• Quantum Geometry and Black Holes
• Isolated Horizons in 2+1 Gravity
• Topological Origin of Horizon Temperature via the Chern-Gauss-Bonnet Theorem
• Basis states for gravitons in non-perturbative loop representation space
• Note on Kerr/CFT correspondence in a first order formalism
• The general gravitational Lagrangian with deformed covariance
• Towards a spin foam model description of black hole entropy
• Saturating The Bekenstein-Hawking Entropy Bound With Initial Data Sets For Gravitational Collapse
• A New Approach to Black Hole Microstates
• Two Dimensional Conformal Symmetry and the Microscopic Interpretation of Black Hole Entropy
• The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories
• Thermodynamics of Quantum Isolated Horizons with model Hamiltonians
• Immirzi Ambiguity, Boosts and Conformal Frames for Black Holes
• Boost invariance of the gravitational field dynamics: quantization without time gauge
• The effective sigma-model of multidimensional gravity
• Phenomenological implications of an alternative Hamiltonian constraint for quantum cosmology
• Semi-classical analysis of black holes in Loop Quantum Gravity: Modelling Hawking radiation with volume fluctuations
• Black Hole Entropy from indistinguishable quantum geometric excitations
• Geometrothermodynamics for Black holes and de Sitter Space
• Moving Schwarzschild Black Hole and Modified Dispersion Relations
• Alternative $k=-1$ loop quantum cosmology
• Semiclassical Horizons
• Black Hole Entropy and Quantum Gravity
• Cosmological Dynamics of Interacting Logarithmic Entropy Corrected Holographic Dark Energy Model
• First order minisuperspace model for the Faddeev formulation of gravity
• The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity
• Statistical analysis of entropy correction from topological defects in Loop Black Holes
• Modelling black holes with angular momentum in loop quantum gravity
• Self-Relative (or Machian) Information: Entropy-Area Relation
• Quantum Entanglement Dynamics of Spacetime and Matter
• Does loop quantum gravity imply Lambda=0?
• Extensions of the Duflo map and Chern-Simons expectation values
• Immirzi Ambiguity in the Kinematics of Quantum General Relativity
• Information paradox and island of covariant black holes in LQG
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein
• Holographic Bound on Area of Compact Binary Merger Remnant
• Note on quantum entanglement and quantum geometry
• Initial data for a deformed isolated horizon
• Transplanckian Dispersion Relation and Entanglement Entropy of Blackhole
• The general scalar-tensor Hamiltonian with deformed covariance
• Entropy in Spin Foam Models: The Statistical Calculation
• Local first law of black hole
• Quantum black holes, partition of integers and self-similarity
• Anti-DeSitter Spaces and Nonextreme Black Holes
• Loop Quantum Theory Applied to Biology and Nonlinear Whole Biology
• An overview of canonical quantum gravity
• From bricks to quasinormal modes: A new perspective on black hole entropy
• Discussion of a possible corrected black hole entropy
• Statistical discrete geometry
• Existence of a Semiclassical Approximation in Loop Quantum Gravity
• Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity
• On the holographic basis of Quantum Cosmology
• Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
• Spherical trapped surfaces in n-dimensional general relativity
• Quantum surface holonomies for loop quantum gravity and their application to black hole horizons
• Small Spins of Primordial Black Holes from Random Geometries: Bekenstein-Hawking Entropy and Gravitational Wave Observations
• Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula
• Entanglement entropy due to near horizon degrees of freedom
• Large Gauge Symmetries of an Asymptotically de Sitter Horizon: An Extended First Law of Thermodynamics
• Some singular spacetimes and their possible alternatives
• Non- minimally Coupled Scalar Fields, Holst Action and Black Hole Mechanics
• Microscopic State of BHs and an Exact One Body Method for Binary Dynamics in General Relativity
• Weakly Isolated Horizons: $3+1$ decomposition and canonical formulations in self-dual variables
• Second Law of Black Hole Mechanics for all 2d Dilaton Theories
• Deformed general relativity
• Horizon thermodynamics in $f(R,R^{\mu \nu }{R}_{\mu \nu })$ theory
• Bose Condensation and the BTZ Black Hole
• On the fundamental length of quantum geometry and the black hole entropy
• On the interpretation of relativistic spin networks and the balanced state sum
• Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Expansion operators in spherically symmetric loop quantum gravity
• Seeing through a nearly black star
• Mathematical structure of loop quantum cosmology
• Superradiant instability of area quantized Kerr black hole with discrete reflectivity
• Holographic vacuum energy regularization and corrected entropy of de Sitter space
• Area, ladder symmetry, degeneracy and fluctuations of a horizon
• On the gravitational diagram technique in the discrete setup
• Quantum amplification effect in a horizon fluctuations
• Entanglement entropy, scale-dependent dimensions and the origin of gravity
• Bekenstein-Spectrum, Hawking-Temperature and Specific Heat of Schwarzschild Black Holes from Microscopic Chains
• Black hole entropy predictions without the Immirzi parameter and Hawking radiation of a single-partition black hole
• Loops versus strings
• Entropy and anisotropy
• Radiation of Quantized Black Hole
• Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology
• Energy spectrum of black holes : a new view
• Entropy of black holes, charged probes and noncommutative generalization
• On covariant and canonical Hamiltonian formalisms: Weakly Isolated Horizons
• Horizon quantum geometries and decoherence
• Effects of quantum geometry on the decoherence induced by black holes
• Topological derivation of Black Hole entropy by analogy with a chain polymer
• Embedding into flat spacetime and black hole thermodynamics
• Description of Black Hole Microstates by Means of a Free Affine-Scalar Field
• Horizon-Brightened Acceleration Radiation and Optical Signatures of Generic Regular Black Holes from Nonlinear Electrodynamics
• Spontaneous particle creation by oscillating compact stars
• Condensation of area quanta ensembles with quantum statistics in Schwarzschild spacetimes
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
• Scaling-Based Quantization of Spacetime Microstructure
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• On the assumptions leading to the information loss paradox
• ER= EPR and Non-Perturbative Action Integrals for Quantum Gravity
• Spectrum of area in the Faddeev formulation of gravity
• Generalized Second Law of Thermodynamics with Corrected Entropy in Tachyon Cosmology
• The ADM papers and part of their modern legacy: loop quantum gravity
• On area spectrum in the Faddeev gravity
• Entropy of Black Holes in N=2 Supergravity
• Stability of Quantum Isolated Horizon : A Local Observer's View
• Black Hole Statistical Physics: Entropy
• Loop quantum gravity - a short review
• Does black-hole evaporation imply that physics is non-unitary, and if so, what must the laws of physics look like? An Essay
• Signatures of an Emergent Gravity from Black Hole Entropy
• Thermodynamic partition function from quantum theory for black hole horizons in loop quantum gravity
• Covariant entropy conjecture and concordance cosmological models
• Entropy of generic quantum isolated horizons
• Signatures of quantum geometry from exponential corrections to the black hole entropy
• New Hints from General Relativity
• Simple observations concerning black holes and probability
• Holographic dark energy models with Interactions and entropy corrections for different cutoffs in the Brans-Dicke cosmology
• Proof of Bekenstein-Mukhanov ansatz in loop quantum gravity
• Quantum geometry and black hole entropy: inclusion of distortion and rotation
• Holographic bound in covariant loop quantum gravity
• Categorical Quantum Volume Operator
• Singularity avoidance from path integral
• Quantum geometrical current and coherence of the open gravitation system: loop quantum gravity coupled with a thermal scalar field
• Field dynamics on the trapping horizon in Vaidya spacetime
• Non singular M theory Universe in Loop Quantum Cosmology -- inspired Models
• Chaotic D1-D5 Black Hole Dynamics through Networks
• On the Hamiltonian formalism of the Tetrad-Gravity with fermions
• Does loop quantum ${\mu }_o$ scheme permit a black hole formation?
• Barbero-Immirzi parameter in Regge calculus
• Note on $SU(2)$ isolated horizon
• On the nature of the black hole information problem
• Black hole singularity is a surface not a point
• Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant
• Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole
• Can Gravitational Wave Data Shed Light on Dark Matter Particles ?
• The curious case of operators with spectral density increasing as $\Omega (E)\sim e^{Const.E^2}$
• Motion in Quantum Gravity
• Effect of primary scalar hair on black hole's strong lensing in Beyond Horndeski Gravity
• Extending the isolated horizon phase space to string-inspired gravity models
• Unitary evolution and cosmic acceleration in Loop Quantum Cosmology
• Microscopic interpretation of black hole entropy
• Black Hole Entropy in Loop Quantum Gravity and Number Theory
• Dynamical Horizon Entropy Bound Conjecture in Loop Quantum Cosmology
• Classical analog of quantum Schwarzschild black hole: local vs global, and the mystery of log(3)
• A Hamiltonian Approach to the Mass of Isolated Black Holes