Background Independent Quantum Gravity: A Status Report

Abstract

The goal of this article is to present an introduction to loop quantum gravity -a background independent, non-perturbative approach to the problem of unification of general relativity and quantum physics, based on a quantum theory of geometry. Our presentation is pedagogical. Thus, in addition to providing a bird's eye view of the present status of the subject, the article should also serve as a vehicle to enter the field and explore it in detail. To aid non-experts, very little is assumed beyond elements of general relativity, gauge theories and quantum field theory. While the article is essentially self-contained, the emphasis is on communicating the underlying ideas and the significance of results rather than on presenting systematic derivations and detailed proofs. (These can be found in the listed references.) The subject can be approached in different ways. We have chosen one which is deeply rooted in well established physics and also has sufficient mathematical precision to ensure that there are no hidden infinities. In order to keep the article to a reasonable size, and to avoid overwhelming non-experts, we have had to leave out several interesting topics, results and viewpoints; this is meant to be an introduction to the subject rather than an exhaustive review of it.

125 pages, 5 figures (eps format), the final version published in CQG

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• Discrete gravity dynamics from effective spin foams
• Wave functions for the Schwarschild black hole interior
• Cosmological Coherent State Expectation Values in LQG I. Isotropic Kinematics
• Polymer state approximations of Schroedinger wave functions
• Problem of Time and Background Independence: the Individual Facets
• The Dark Side of a Patchwork Universe
• Bohr-Sommerfeld Quantization of Space
• Bubbles and jackets: new scaling bounds in topological group field theories
• A regularization of the hamiltonian constraint compatible with the spinfoam dynamics
• Flux-area operator and black hole entropy
• Loop Quantum Gravity
• Black Hole Thermodynamics and Statistical Mechanics
• Effective relational cosmological dynamics from Quantum Gravity
• Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy
• A curvature operator for LQG
• General dissipative coefficient in warm intermediate inflation in loop quantum cosmology in light of Planck and BICEP2
• Path Integral Representation of Lorentzian Spinfoam Model, Asymptotics, and Simplicial Geometries
• The Thiemann Complexifier and the CVH algebra for Classical and Quantum FLRW Cosmology
• Information loss, made worse by quantum gravity?
• Warm inflation in loop quantum cosmology: a model with a general dissipative coefficient
• Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, $\mathcal{N}$ = 1 Supergravity
• Einstein Gravity as a Nonholonomic Almost Kahler Geometry, Lagrange-Finsler Variables, and Deformation Quantization
• Gravity, Geometry and the Quantum
• Asymptotic analysis of the EPRL model with timelike tetrahedra
• Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity
• Primordial power spectrum from the dressed metric approach in loop cosmologies
• Feasibility of a Unitary Quantum Dynamics in the Gowdy $T^3$ Cosmological Model
• A symmetric scalar constraint for loop quantum gravity
• Quantum Reduced Loop Gravity: a realistic Universe
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Einstein Equation from Covariant Loop Quantum Gravity in Semiclassical Continuum Limit
• On the role of the Barbero-Immirzi parameter in discrete quantum gravity
• Effective dynamics of scalar perturbations in a flat Friedmann-Robertson-Walker spacetime in Loop Quantum Cosmology
• LQG propagator: III. The new vertex
• Propagators in Polymer Quantum Mechanics
• Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
• Loop quantum black hole
• Schwarzschild horizon dynamics and SU(2) Chern-Simons theory
• Generalized Uncertainty Principle Removes The Chandrasekhar Limit
• Flux formulation of loop quantum gravity: Classical framework
• Universality of affine formulation in General Relativity theory
• On the Relations between Gravity and BF Theories
• Triangulated Loop Quantum Cosmology: Bianchi IX and inhomogenous perturbations
• Classical Setting and Effective Dynamics for Spinfoam Cosmology
• Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation
• The Diffeomorphism Constraint Operator in Loop Quantum Gravity
• Semiclassical dynamics of horizons in spherically symmetric collapse
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• Bulk Entropy in Loop Quantum Gravity
• Surface terms, Asymptotics and Thermodynamics of the Holst Action
• From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity
• Simple model for quantum general relativity from loop quantum gravity
• Gravitational lensing effect of black holes in effective quantum gravity
• The Holst Spin Foam Model via Cubulations
• A new look at Lorentz-Covariant Loop Quantum Gravity
• Consistent discretization and loop quantum geometry
• The minimum length problem of loop quantum cosmology
• Effective Dynamics in Bianchi Type II Loop Quantum Cosmology
• Introduction to Loop Quantum Gravity
• Universality and symmetry breaking in conformally reduced quantum gravity
• Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter
• Background independent quantization and wave propagation
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• Generating function techniques for loop quantum cosmology
• On the Uniqueness of Kinematics of Loop Quantum Cosmology
• Loop quantum Brans-Dicke cosmology
• Loop Quantum Gravity a la Aharonov-Bohm
• Emergence of spatial structure from causal sets
• A comparison between Jordan and Einstein frames of Brans-Dicke gravity a la loop quantum cosmology
• Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
• Elements of Loop Quantum Cosmology
• The spin connection of twisted geometry
• A model for the motion of a particle in a quantum background
• 3D holography: from discretum to continuum
• Coherent intertwiner solution of simplicity constraint in all dimensional loop quantum gravity
• Semiclassical analysis of the Loop Quantum Gravity volume operator: I. Flux Coherent States
• Gravitational collapse in loop quantum gravity
• A new Hamiltonian for the Topological BF phase with spinor networks
• Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
• Uniqueness of the Fock quantization of fields with unitary dynamics in nonstationary spacetimes
• Fermions in three-dimensional spinfoam quantum gravity
• A note on the Holst action, the time gauge, and the Barbero-Immirzi parameter
• SU(2) Lattice Gauge Theory- Local Dynamics on Non-intersecting Electric flux Loops
• Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k -- Essence
• Phenomenological implications of modified loop cosmologies: an overview
• Multiple-event probability in general-relativistic quantum mechanics
• On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and Loop Quantum Gravity
• A new spectral triple over a space of connections
• Background independent condensed matter models for quantum gravity
• Generic isolated horizons in loop quantum gravity
• The perturbative Regge-calculus regime of Loop Quantum Gravity
• Symmetries of the Black Hole Interior and Singularity Regularization
• Relational Particle Models. I. Reconciliation with standard classical and quantum theory
• Quantum field theory and its symmetry reduction
• Fundamental length scale of quantum spacetime foam
• Statistical equilibrium of tetrahedra from maximum entropy principle
• Loop Quantum Cosmology corrections to inflationary models
• Hidden Quantum Gravity in 4d Feynman diagrams: Emergence of spin foams
• Spectral triples of holonomy loops
• New Hamiltonians for loop quantum cosmology with arbitrary spin representations
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Dark Energy Interacting with Dark Matter in Classical Einstein and Loop Quantum Cosmology
• Coherent states, constraint classes, and area operators in the new spin-foam models
• Laws of Black Hole Mechanics from Holst Action
• Matrix Elements of Lorentzian Hamiltonian Constraint in LQG
• Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations
• Quantum dynamics of the black hole interior in LQC
• Loop expansion and the bosonic representation of loop quantum gravity
• On loop quantum gravity kinematics with non-degenerate spatial background
• Stability of the Schwarzschild Interior in Loop Quantum Gravity
• Towards an Anomaly-Free Quantum Dynamics for a Weak Coupling Limit of Euclidean Gravity: Diffeomorphism Covariance
• Transcending Big Bang in Loop Quantum Cosmology: Recent Advances
• Three Dimensional Loop Quantum Gravity: Particles and the Quantum Double
• Group theoretical Quantization of Isotropic Loop Cosmology
• Background independent quantizations: the scalar field I
• Spin-base invariance of Fermions in arbitrary dimensions
• Bouncing evolution in a model of loop quantum gravity
• Towards a $C$-function in 4D quantum gravity
• Cosmological constant problem: deflation during inflation
• Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
• From spin foams to area metric dynamics to gravitons
• Cosmological Analysis of Pilgrim Dark Energy in Loop Quantum Cosmology
• Loop Quantum Cosmology: A cosmological theory with a view
• Effective dynamics of the hybrid quantization of the Gowdy T^3 universe
• Quantum fluctuations in the effective relational GFT cosmology
• Time evolution in deparametrized models of loop quantum gravity
• 4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic Block
• Black hole state degeneracy in Loop Quantum Gravity
• Entropy calculation for a toy black hole
• Topological parameters in gravity
• Single particle in quantum gravity and Braunstein-Ghosh-Severini entropy of a spin network
• Recollapsing quantum cosmologies and the question of entropy
• Effective four-dimensional loop quantum black hole with a cosmological constant
• Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model
• Torsion in string-inspired cosmologies and the universe dark sector
• On the exact evaluation of spin networks
• Construction of spaces of kinematic quantum states for field theories via projective techniques
• Spacetime Lagrangian Formulation of Barbero-Immirzi Gravity
• Quantization of the Jackiw-Teitelboim model
• Reformulation of the symmetries of first-order general relativity
• On the spinfoam expansion in cosmology
• Brief review on black hole loop quantization
• Semiclassical regime of Regge calculus and spin foams
• Testing the imposition of the Spin Foam Simplicity Constraints
• Circular orbits and thin accretion disk around a quantum corrected black hole
• Gravitational dynamics: A novel shift in the Hamiltonian paradigm
• Gravitationally bound BCS state as dark matter
• Towards effective actions for the continuum limit of spin foams
• Black holes in full quantum gravity
• Extended matter coupled to BF theory
• Study of Lorentz violation in INTEGRAL Gamma-Ray Bursts
• Decoherence in Quantum Gravity: Issues and Critiques
• Loop quantum cosmology with higher order holonomy corrections
• Quantum Gravity and Matter: Counting Graphs on Causal Dynamical Triangulations
• Background independent quantizations: the scalar field II
• Quantization of (1+1)-dimensional Hořava-Lifshitz theory of gravity
• The Martin-Benito-Mena Marugan-Olmedo prescription for the Dapor-Liegener model of Loop Quantum Cosmology
• Non-commutative black holes of various genera in the connection formalism
• Mean-field phase transitions in TGFT quantum gravity
• The Complete Barrett-Crane Model and its Causal Structure
• Effective dynamics of scalar cosmological perturbations from quantum gravity
• Entanglement entropy of Bell-network states in LQG: Analytical and numerical results
• The constraint algebra in Smolins' $G\to 0$ limit of 4d Euclidean Gravity
• New volume and inverse volume operators for loop quantum gravity
• Polymeric Quantization and Black Hole Thermodynamics
• First-Order Quantum Correction in Coherent State Expectation Value of Loop-Quantum-Gravity Hamiltonian
• The Lensing Effect of Quantum-Corrected Black Hole and Parameter Constraints from EHT Observations
• The volume operator in covariant quantum gravity
• Polymer Parametrised Field Theory
• Spin-Foam Models and the Physical Scalar Product
• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• Spherically Symmetric Quantum Horizons
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• Can the initial singularity be detected by cosmological tests?
• Universal criterion for black hole stability
• Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
• Emergent 4-dimensional linearized gravity from spin foam model
• Evolution of Primordial Black Holes in Loop Quantum Gravity
• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
• Numerical Techniques in Loop Quantum Cosmology
• Quantum Null Geometry and Gravity
• Symmetry Reduction of Loop Quantum Gravity
• Perturbing a quantum gravity condensate
• Numerical computations of next-to-leading order corrections in spinfoam large-$j$ asymptotics
• A unique Fock quantization for fields in non-stationary spacetimes
• Ultraviolet behavior in background independent quantum field theory
• Fisher Metric, Geometric Entanglement and Spin Networks
• Numerical indications on the semiclassical limit of the flipped vertex
• Some Aspects of Holst and Nieh-Yan Terms in General Relativity with Torsion
• Quantization of systems with temporally varying discretization I: Evolving Hilbert spaces
• Vertex Expansion for the Bianchi I model
• Loop Quantum Brans-Dicke Theory
• Loop quantum gravity coupled to a scalar field
• Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics
• Turning big bang into big bounce: II. Quantum dynamics
• Towards an Ashtekar formalism in eight dimensions
• Gauge Gravity: a forward-looking introduction
• Thermal quantum gravity condensates in group field theory cosmology
• Uniqueness of the Representation in Homogeneous Isotropic LQC
• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• A topological limit of gravity admitting an SU(2) connection formulation
• Coherent State Functional Integral in Loop Quantum Cosmology: Alternative Dynamics
• Kinematic quantum states for the Teleparallel Equivalent of General Relativity
• New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes
• Hamiltonian Renormalization III. Renormalisation Flow of 1+1 dimensional free scalar fields: Properties
• Black holes as gases of punctures with a chemical potential: Bose-Einstein condensation and logarithmic corrections to the entropy
• Properties of Quantum Graphity at Low Temperature
• Unambiguous spin-gauge formulation of canonical general relativity with conformorphism invariance
• Magnetic operations: a little fuzzy physics?
• From qubits to black holes: entropy, entanglement and all that
• QFT on quantum spacetime: a compatible classical framework
• Inflation from non-minimally coupled scalar field in loop quantum cosmology
• Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• Brane-world Quantum Gravity
• Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example
• Detailed discussions and calculations of quantum Regge calculus of Einstein-Cartan theory
• Black hole solutions in functional extensions of Born-Infeld gravity
• The phase structure of Einstein-Cartan theory
• Black hole spectroscopy from Loop Quantum Gravity models
• The high-density regime of kinetic-dominated loop quantum cosmology
• Pre-inflationary dynamics of Starobinsky inflation and its generization in Loop Quantum Brans-Dicke Cosmology
• Dynamics of Scalar Field in Polymer-like Representation
• Hamiltonian group field theory with multiple scalar matter fields
• Quantum Regge Calculus of Einstein-Cartan theory
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance
• Loop-deformed Poincaré algebra
• On the structure of the space of generalized connections
• A Note on B-observables in Ponzano-Regge 3d Quantum Gravity
• The effective dynamics of loop quantum $R^2$ cosmology
• General geometric operators in all dimensional loop quantum gravity
• Shadows and optical appearance of quantum-corrected black holes illuminated by static thin accretions
• Singularity avoidance in the hybrid quantization of the Gowdy model
• Entropy of black holes with arbitrary shapes in loop quantum gravity
• A new functional flow equation for Einstein-Cartan quantum gravity
• On Energy Conditions and Stability in Effective Loop Quantum Cosmology
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
• Quantum reduced loop gravity effective Hamiltonians from a statistical regularization scheme
• Loop Quantization of Polarized Gowdy Model on $T^3$: Kinematical States and Constraint Operators
• Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis
• Generalized Hawking-Page Phase Transition
• Diffeomorphism symmetry in quantum gravity models
• Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory
• Loop Quantum Gravity on Dynamical Lattice and Improved Cosmological Effective Dynamics with Inflaton
• Lorentz Symmetry in QFT on Quantum Bianchi I Space-Time
• Polytopes in all dimensional loop quantum gravity
• Emission spectra of self-dual black holes
• Unimodular Loop Quantum Cosmology
• Scalar perturbation in warm tachyon inflation in LQC in light of Plank and BICEP2
• Feynman diagrammatic approach to spin foams
• Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula
• Background dynamics of pre-inflationary scenario in Brans-Dicke loop quantum cosmology
• Weakly-Gravitating Objects in dynamical Chern-Simons gravity and Constraints with Gravity Probe B
• Higher-dimensional quantum Oppenheimer-Snyder model
• Towards the self-adjointness of a Hamiltonian operator in loop quantum gravity
• Observations on interfacing loop quantum gravity with cosmology
• The Lorentzian proper vertex amplitude: Asymptotics
• Higher dimensional Loop Quantum Cosmology
• On the UV dimensions of Loop Quantum Gravity
• Entropy of Quantum Black Holes
• Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory
• Coherent states for quantum gravity: towards collective variables
• Phase space analysis of the bouncing universe with stringy effects
• The phase and critical point of quantum Einstein-Cartan gravity
• Some surprising implications of background independence in canonical quantum gravity
• Phenomenology of Quantum Reduced Loop Gravity in the isotropic cosmological sector
• Anomaly freedom in perturbative models of Euclidean loop quantum gravity
• Schrodinger Picture of Quantum Gravitational Collapse
• Loop Quantum Cosmology
• Efficient Simulation of Loop Quantum Gravity -- A Scalable Linear-Optical Approach
• The Plebanski sectors of the EPRL vertex
• Constraining the loop quantum gravity parameter space from phenomenology
• Action and Hamiltonians in higher dimensional general relativity: First order framework
• Loop quantum cosmology of k=1 FLRW: Effects of inverse volume corrections
• Polynomial form of the Hilbert-Einstein action
• Loop Quantum Gravity motivated multihorizon rotating black holes
• Restricting Fourth Order Gravity via Cosmology
• Manifestly Lorentz-covariant variables for the phase space of general relativity
• Critical scaling in the large-$N$ $O(N)$ model in higher dimensions and its possible connection to quantum gravity
• A no-singularity scenario in loop quantum gravity
• Embedding loop quantum cosmology without piecewise linearity
• Thermal representations in group field theory: squeezed vacua and quantum gravity condensates
• Quantum simulations of a qubit of space
• On Semi-Classical States of Quantum Gravity and Noncommutative Geometry
• Numerical Analysis of the Big Bounce in Loop Quantum Cosmology
• Stability Conditions in the Generalized SU(2) Proca Theory
• Spectroscopy of a canonically quantized horizon
• Callan-Giddings-Harvey-Strominger vacuum in loop quantum gravity and singularity resolution
• The Universe as an Oscillator
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Massless Dirac Perturbations in a Consistent Model of Loop Quantum Gravity Black Hole: Quasinormal Modes and Particle Emission Rates
• Foreword: A Computable Universe, Understanding Computation and Exploring Nature As Computation
• Einstein-Cartan gravity with Holst term and fermions
• Brane-world black hole entropy from modified dispersion relations
• Perelomov type coherent states of SO(D + 1) in all dimensional loop quantum gravity
• Manifestly Gauge-Invariant Cosmological Perturbation Theory from Full Loop Quantum Gravity
• Intersecting Connes Noncommutative Geometry with Quantum Gravity
• Coherent State Functional Integrals in Quantum Cosmology
• Revisiting quantum black holes from effective loop quantum gravity
• Hamiltonian formulation of a simple theory of the teleparallel geometry
• An exact derivation of the Hawking effect in canonical formulation
• Quantum Hairs and Entropy of Quantum Isolated Horizon from Chern-Simons Theory
• Singularity resolution from polymer quantum matter
• Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
• The radiation equation of state and loop quantum gravity corrections
• Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
• Separable Hilbert space for loop quantization
• Diffeomorphism invariant cosmological symmetry in full quantum gravity
• Squeezed vacua in loop quantum gravity
• Ryu-Takayanagi Formula for Symmetric Random Tensor Networks
• The Lorentzian proper vertex amplitude: Classical analysis and quantum derivation
• Euclidean LQG Dynamics: An Electric Shift in Perspective
• The Immirzi Parameter as an Instanton Angle
• The Big Bang and the Quantum
• Hamiltonian spinfoam gravity
• The metric on field space, functional renormalization, and metric-torsion quantum gravity
• The Early Universe in Loop Quantum Cosmology
• Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity
• Reduced phase space approach to Kasner universe and the problem of time in quantum theory
• Invariant Perfect Tensors
• On the Relation between Rigging Inner Product and Master Constraint Direct Integral Decomposition
• On a Covariant Formulation of the Barbero-Immirzi Connection
• Remnant loop quantum black holes
• Asymptotics of LQG fusion coefficients
• Effective dynamics of the closed loop quantum cosmology
• All 3-edge-connected relativistic BC and EPRL spin-networks are integrable
• Path Integral representation for Polymer Quantized Scalar Fields
• Absence of Unruh effect in polymer quantization
• On Spectral Triples in Quantum Gravity I
• Constraints from Solar System tests on a covariant loop quantum black hole
• Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity
• The Construction of Spin Foam Vertex Amplitudes
• Entanglement of zero angular momentum mixtures and black hole entropy
• Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line
• Discrete gravity as a topological field theory with light-like curvature defects
• Scalar curvature operator for models of loop quantum gravity on a cubical graph
• Gravastar under the framework of braneworld gravity II: effect of the Kuchowicz metric function
• Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
• Probability of inflation in Loop Quantum Cosmology
• The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation
• Quasi-Local Energy in Loop Quantum Gravity
• Gravitational Waves in Chern-Simons-Gauss-Bonnet Gravity
• Canonical analysis of Holst action without second-class constraints
• Primordial perturbations in the Dapor-Liegener model of hybrid loop quantum cosmology
• Gravitational $SL(2,\mathbb{R})$ Algebra on the Light Cone
• Eigenvalues of the volume operator in loop quantum gravity
• Chaplygin inflation in loop quantum cosmology
• Symmetry Reduced Loop Quantum Gravity: A Bird's Eye View
• Hamiltonian analysis of the double null 2+2 decomposition of General Relativity expressed in terms of self-dual bivectors
• Stability of self-dual black holes
• Thermodynamics in Loop Quantum Cosmology
• What kind of science is cosmology?
• Effects of the Generalized Uncertainty Principle on the Inflation Parameters
• Topspin Networks in Loop Quantum Gravity
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Causal Loop Quantum Gravity and Cosmological Solutions
• Torsion at different scales: from materials to the Universe
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• The Generalized Uncertainty Principle and Higher Dimensions: Linking Black Holes and Elementary Particles
• Spinfoam Fermions: PCT Symmetry, Dirac Determinant, and Correlation Functions
• Spin-foam model for gravity coupled to massless scalar field
• Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
• On the horizon area of effective loop quantum black holes
• Wheeler-DeWitt equation and the applicability of crypto-Hermitian interaction representation in quantum cosmology
• Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms
• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
• Loop quantum gravity and cosmological constant
• Geometric parametrization of $SO(D+1)$ phase space of all dimensional loop quantum gravity
• Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology
• Deriving loop quantum cosmology dynamics from diffeomorphism invariance
• Discrete Gravity on Random Tensor Network and Holographic Rényi Entropy
• Gravitational Collapse In Vaidya Space-time For Galileon Gravity Theory
• Hamiltonian dynamics and gauge symmetry for three-dimensional Palatini theory with cosmological constant
• Approximation methods in Loop Quantum Cosmology: From Gowdy cosmologies to inhomogeneous models in Friedmann-Robertson-Walker geometries
• Superposition type coherent states in all dimensional loop quantum gravity
• Disordered locality and Lorentz dispersion relations: an explicit model of quantum foam
• Diffeomorphism invariant cosmological sector in loop quantum gravity
• Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
• Black-hole horizons in modified space-time structures arising from canonical quantum gravity
• Fluctuation energies in quantum cosmology
• Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• Loop Quantum Gravity in Ashtekar and Lagrange-Finsler Variables and Fedosov Quantization of General Relativity
• Deformed phase space in a two dimensional minisuperspace model
• Two-dimensional topological field theories coupled to four-dimensional BF theory
• Corner symmetry and quantum geometry
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Creation of particles in a cyclic universe driven by loop quantum cosmology
• Semiclassical Quantum Gravity: Obtaining Manifolds from Graphs
• Generalized commutation relations and Non linear momenta theories, a close relationship
• The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox
• Quintessence and (Anti-)Chaplygin Gas in Loop Quantum Cosmology
• Is it time to rethink quantum gravity?
• On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter
• Automorphisms in Loop Quantum Gravity
• Twisted geometry coherent states in all dimensional loop quantum gravity: I. Construction and Peakedness properties
• Loop quantization from a lattice gauge theory perspective
• C*-algebras of Holonomy-Diffeomorphisms & Quantum Gravity I
• Compatibility of radial, Lorenz and harmonic gauges
• Intersecting Quantum Gravity with Noncommutative Geometry - a Review
• Non-Gaussian features from the inverse volume corrections in loop quantum cosmology
• Canonical Analysis of the Jackiw-Teitelboim Model in the Temporal Gauge. I. The Classical Theory
• Loop Quantum Geometry: A primer
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Extension of Loop Quantum Gravity to Metric Theories beyond General Relativity
• Noncommutative gravity with self-dual variables
• Factor ordering and large-volume dynamics in quantum cosmology
• Observables for FRW model with cosmological constant in the framework of loop cosmology
• Consistency check on the fundamental and alternative flux operators in loop quantum gravity
• Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
• Topological field theories in n-dimensional spacetimes and Cartan's equations
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• Alternative dynamics in loop quantum Brans-Dicke cosmology
• On the value of the Immirzi parameter and the horizon entropy
• Propagation in Polymer Parameterised Field Theory
• New Cases of Universality Theorem for Gravitational Theories
• Canonical loop quantization of the lowest-order projectable Horava gravity
• Loop effective model for Schwarzschild black hole interior: a modified $\bar{\mu }$ dynamics
• Quantum cosmology of a Bianchi III LRS geometry coupled to a source free electromagnetic field
• BF gravity with Immirzi parameter and cosmological constant
• On quantum propagation in Smolin's weak coupling limit of 4d Euclidean Gravity
• Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
• On a Continuum Limit for Loop Quantum Cosmology
• From Euclidean to Lorentzian Loop Quantum Gravity via a Positive Complexifier
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II
• Non-commutative Fourier transform for the Lorentz group via the Duflo map
• Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables
• One vertex spin-foams with the Dipole Cosmology boundary
• Causal Dynamical Triangulations in Four Dimensions
• Kinematical uniqueness of homogeneous isotropic LQC
• Could Planck Star Remnants be Dark Matter?
• Quantum theory of electromagnetic fields in a cosmological quantum spacetime
• Black Hole Evaporation in Loop Quantum Gravity
• Inflationary power spectra with quantum holonomy corrections
• Exploring the diffeomorphism invariant Hilbert space of a scalar field
• Analytic derivation of dual gluons and monopoles from SU(2) lattice Yang-Mills theory. II. Spin foam representation
• The thermodynamics of isolated horizons in loop quantum gravity
• Domain structures in quantum graphity
• Solar system constraints of a polymer black hole in loop quantum gravity
• The continuum approach to the BF vacuum: the U(1) case
• The effective dynamics of weak coupling loop quantum gravity
• Towards new background independent representations for Loop Quantum Gravity
• Application of higher order holonomy corrections to perturbation theory of cosmology
• Oriented Matroids -- Combinatorial Structures Underlying Loop Quantum Gravity
• Energy Extraction from Loop Quantum Black Holes: The Role of Magnetic Penrose Process and Quantum Gravity Effects with Astrophysical Insights
• Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• How can rainbow gravity affect on gravitational force?
• Loop quantum modified gravity and its cosmological application
• Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)
• Hamiltonian analysis of $n$-dimensional Palatini gravity with matter
• Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Spin foam amplitude of the black-to-white hole transition
• Coherent 3j-symbol representation for the loop quantum gravity intertwiner space
• Consequences of Godel Theorems on Third Quantized Theories Like String Field Theory and Group Field Theory
• A relation between the Barbero-Immirzi parameter and the standard model
• Polymer quantization and Symmetries
• Experimental Simulation of Loop Quantum Gravity on a Photonic Chip
• 2+1 Quantum Gravity with Barbero-Immirzi like parameter on Toric Spatial Foliation
• Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
• Continuous formulation of the Loop Quantum Gravity phase space
• Open problems in mathematical physics
• First-order action and Euclidean quantum gravity
• Quantum $D=3$ Euclidean and Poincaré symmetries from contraction limits
• Towards a possible solution for the coincidence problem: f(G) gravity as background
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity I
• Duality, matroids, qubits, twistors and surreal numbers
• Mass of cosmological perturbations in the hybrid and dressed metric formalisms of Loop Quantum Cosmology for the Starobinsky and exponential potentials
• On Loop States in Loop Quantum Gravity
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Supergravity as a constrained BF theory
• Loop Quantum Gravity and Quantum Information
• The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach
• The Quantum Holonomy-Diffeomorphism Algebra & Quantum Gravity
• Scalar Cosmological Perturbations from Quantum Entanglement within Lorentzian Quantum Gravity
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Extending the QMM Framework to the Strong and Weak Interactions
• Loop Quantum Gravity and Cosmology: A dynamical introduction
• An Inhomogeneous Space-Time Patching Model Based on a Nonlocal and Nonlinear Schrodinger Equation
• Quasinormal modes of a charged loop quantum black hole
• Yang-Mills Interactions and Gravity in Terms of Clifford Algebra
• The Polymer representation for the scalar field: A Wigner functional approach
• Fermion spins in loop quantum gravity
• In Search of Quantum de Sitter Space: Generalizing the Kodama State
• A matter wave Rarity-Tapster interferometer to demonstrate non-locality
• Supersymmetric isolated horizons
• Discrete spectrum of the quantum Reissner - Nordström geometry
• Quantum reduced loop gravity: extension to scalar field
• Averaged null energy condition in Loop Quantum Cosmology
• Elementary charge and neutrino's mass from Planck length
• Intertwiner dynamics in the flipped vertex
• The Barbero-Immirzi Parameter: An Enigmatic Parameter of Loop Quantum Gravity
• Emergent Universe With Exotic Matter In Loop Quantum Cosmology, DGP Brane World and Kaluza-Klein Cosmology
• Asymptotic quasinormal modes of scalar field in a gravity's rainbow
• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• New 'phase' of quantum gravity
• Emergent gravity: the BEC paradigm
• Knot theory and a physical state of quantum gravity
• SU(2) Flat Connection on Riemann Surface and Twisted Geometry with Cosmological Constant
• Piecewise linear loop quantum gravity
• Dynamical eigenfunctions and critical density in loop quantum cosmology
• Anomaly freedom of the vector modes with holonomy corrections in perturbative Euclidean loop quantum gravity
• $SU(1,1)$ Barbero-like variables derived from Holst action
• Polymer-Fourier quantization of the scalar field revisited
• Light incoherence due to quantum-gravitational fluctuations of the background space
• Viscous Chaplygin Gas Models as a Spherical Top-Hat Collapsing Fluids
• Loop quantum cosmology and the Wheeler-De Witt equation
• A Large N expansion for Gravity
• Fractal Quantum Space-Time
• Holonomy Loops, Spectral Triples & Quantum Gravity
• The new spin foam models and quantum gravity
• BF gravity with Immirzi parameter and matter fields
• Dapor-Liegener formalism of loop quantum cosmology for Bianchi I spacetimes
• Group quantization of the black hole minisuperspace
• Universal properties of the evolution of the Universe in modified loop quantum cosmology
• Quantum cosmology of pure connection general relativity
• Noncommutative spaces and covariant formulation of statistical mechanics
• Connection Dynamics for Higher Dimensional Scalar-Tensor Theories of Gravity
• Loop Quantum Corrected Einstein Yang-Mills Black Holes
• Symmetric black-to-white hole solutions with a cosmological constant
• On some developments in the Nonsymmetric Kaluza-Klein Theory
• SU(2) gauge theory of gravity with topological invariants
• Fermions in Loop Quantum Gravity and Resolution of Doubling Problem
• Neighbourhoods of Isolated Horizons and their stationarity
• Quantum Gravity coupled to Matter via Noncommutative Geometry
• Nonassociative geometry: Friedmann-Robertson-Walker spacetime
• Hilbert space built over connections with a non-compact structure group
• Conserved Topological Defects in Non-Embedded Graphs in Quantum Gravity
• Slow-rotating charged black hole solution in dynamical Chern-Simons modified gravity
• Two-Connection Renormalization and Nonholonomic Gauge Models of Einstein Gravity
• Tachyon warm inflation with the effects of Loop Quantum Cosmology in the light of Planck 2015
• Scalar fields in the nonsymmetric Kaluza-Klein (Jordan-Thiry) theory
• The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
• Gravitational waves for eccentric extreme mass ratio inspirals of self-dual spacetime
• Modifications to Gravitational Wave Equation from Canonical Quantum Gravity
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• A Brief Overview of Results about Uniqueness of the Quantization in Cosmology
• The theta parameter in loop quantum gravity: effects on quantum geometry and black hole entropy
• Loop quantum cosmology from an alternative Hamiltonian
• Super Cartan geometry and the super Ashtekar connection
• Loop-Quantum-Gravity Simplicity Constraint as Surface Defect in Complex Chern-Simons Theory
• On the distribution of the eigenvalues of the area operator in loop quantum gravity
• Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
• Quantum edge modes in 3d gravity and 2+1d topological phases of matter
• The status of Quantum Geometry in the dynamical sector of Loop Quantum Cosmology
• Coherent State Operators in Loop Quantum Gravity
• Area Operator in Loop Quantum Gravity
• Loop quantum gravity and Planck-size black hole entropy
• A new realization of quantum geometry
• Background independence and field redefinitions in quantum gravity
• Quantum Holonomy Theory
• On the polymer quantization of connection theories: graph coherent states
• Bounds on the Polymer Scale from Gamma Ray Bursts
• Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
• Note on the phase space of asymptotically flat gravity in Ashtekar-Barbero variables
• Scalar Cosmological Perturbations from Quantum Gravitational Entanglement
• Towards an Ashtekar Formalism in Twelve Dimensions
• A one-dimensional action for simplicial gravity in three dimensions
• The Koslowski- Sahlmann representation: Gauge and diffeomorphism invariance
• Superfield Description of a Self-Dual Supergravity a la MacDowell-Mansouri
• Finiteness and Dual Variables for Lorentzian Spin Foam Models
• `Iconoclastic', Categorical Quantum Gravity
• Consistent derivation of the Hawking effect for both non-extremal and extremal Kerr black holes
• Twisted geometry coherent states in all dimensional loop quantum gravity: II. Ehrenfest Property
• On the on-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
• Microscopic states of Kerr black holes from boundary-bulk correspondence
• Correlated Worldline theory: Structure and Consistency
• Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations
• Quasi-Hermitian formulation of quantum mechanics using two conjugate Schrödinger equations
• Quantization of Lorentzian 3d Gravity by Partial Gauge Fixing
• Revisiting the solution of the second-class constraints of the Holst action
• The volume operator in loop quantum cosmology
• Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty )$-QGR
• Nonuniqueness of gravity-induced fermion interaction in the Einstein-Cartan theory
• Complex Ashtekar variables, the Kodama state and spinfoam gravity
• Weakly Isolated Horizons: First order actions and gauge symmetries
• On a Derivation of the Dirac Hamiltonian From a Construction of Quantum Gravity
• Dynamics of k-essence in loop quantum cosmology
• Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
• The Hilbert space of 3d gravity: quantum group symmetries and observables
• Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective
• Semi-Classical Holomorphic Transition Amplitudes in Covariant Loop Quantum Gravity
• A Path-integral for the Master Constraint of Loop Quantum Gravity
• The geometry and entanglement entropy of surfaces in loop quantum gravity
• Effects of the inflaton potential on the primordial power spectrum in Loop Quantum Cosmology scenarios
• Anamorphic Quasiperiodic Universes in Modified and Einstein Gravity with Loop Quantum Gravity Corrections
• Non-Relativistic Anti-Snyder Model and Some Applications
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Energy conditions in new model of loop quantum cosmology
• Instanton solutions on the polymer harmonic oscillator
• Quantum group connections
• Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
• Barbero's formulation from a $BF$-type action with the Immirzi parameter
• The kernel and the injectivity of the EPRL map
• Generalized Interacting Dark Energy Model and Loop Quantum Cosmology
• Graph coherent states for loop quantum gravity
• Asymptotically Weyl-Invariant Gravity
• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Entropy bound for the photon gas in noncommutative spacetime
• Gravitational waves with generalized holonomy corrections
• Graphical method in loop quantum gravity: I. Derivation of the closed formula for the matrix element of the volume operator
• Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole
• On the gauge reduction with respect to simplicity constraint in all dimensional loop quantum gravity
• The energy spectrum of gravitational waves in a loop quantum cosmological model
• Fermion coupling to loop quantum gravity: canonical formulation
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• Hamiltonian structure and connection-dynamics of Weyl gravity
• What do gravitational wave detectors say about polymer quantum effects?
• Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory
• Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity
• Curvature effects in the spectral dimension of spin foams
• Quantum geometry and black holes
• Semiclassical resolution of the black hole singularity inspired in the minimal uncertainty approach
• Loop representation and r-Fock measures for $SU(N)$ gauge theories
• Modular polymer representations of the Weyl algebra
• An Implication of "Gravity as the Weakest Force"
• Quantum information in loop quantum gravity
• Cyclic universe from Loop Quantum Gravity
• Spin foams
• On plane gravitational waves in real connection variables
• Linear-Quadratic GUP and Thermodynamic Dimensional Reduction
• A Possible Quantum Gravity Hint in Binary Black Hole Merger
• Loop quantum cosmological dynamics of scalar-tensor theory in the Jordan frame
• Dark matter as the Bose-Einstein condensation in loop quantum cosmology
• Universe from vacuum in loop-string cosmology
• Early universe thermostatistics in curved momentum spaces
• Relating spin-foam to canonical loop quantum gravity by graphical calculus
• Evolution in totally constrained models: Schrödinger vs. Heisenberg pictures
• Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations
• Making a Quantum Universe: Symmetry and Gravity
• Loop quantum cosmology in 2+1 dimension
• Solvable Loop Quantum Cosmology: domain of the volume observable and semiclassical states
• The polymer quantization in LQG: massless scalar field
• Adiabatic and non-adiabatic perturbations for loop quantum cosmology
• Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit
• Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
• Dynamics in canonical models of loop quantum gravity
• Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
• Gauge fields and quantum entanglement
• Quantum thermodynamics in the interior of a Schwarzschild B-H
• Canonical Analysis of Algebraic String Actions
• $\alpha$-attractor potentials in loop quantum cosmology
• Linearized Quantum Gravity Using the Projection Operator Formalism
• Functorial Aspects of the Space of Generalized Connections
• Quantum reduced loop gravity: extension to gauge vector field
• Basic quantizations of $D=4$ Euclidean, Lorentz, Kleinian and quaternionic ${\mathfrak{o}}^{\star }(4)$ symmetries
• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Modifications in the Spectrum of Primordial Gravitational Waves Induced by Instantonic Fluctuations
• Probing cosmological singularities with quantum fields: Open and closed FLRW universes
• Matter in Loop Quantum Gravity
• The averaged tensors of the relative energy-momentum and angular momentum in general relativity and some their applications
• Quantum cosmology of scalar-tensor theories and self-adjointness
• Renormalizing gravity: a new insight into an old problem
• Multiparticle singlet states cannot be maximally entangled for the bipartitions
• Thermodynamics in new model of loop quantum cosmology
• Random Invariant Tensors
• Casimir effect in polymer scalar field theory
• Phenomenological implications of an alternative Hamiltonian constraint for quantum cosmology
• Loop Quantum Gravity and the The Planck Regime of Cosmology
• Random versus holographic fluctuations of the background metric. I. (Cosmological) running of space-time dimension
• Canonical and symplectic analysis for three dimensional gravity without dynamics
• Quasinormal modes and horizon area quantisation in Loop Quantum Gravity
• Mathematical general relativity: a sampler
• Pulsation of black holes
• The UV behavior of Gravity at Large N
• Prolegomena to any future Quantum Gravity
• Holographic equipartition from first order action
• The gauge symmetries of first-order general relativity with matter fields
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas
• Variety of $(d+1)$ dimensional Cosmological Evolutions with and without bounce in a class of LQC -- inspired Models
• Resummed Quantum Gravity
• Testing general covariance in effective models motivated by Loop Quantum Gravity
• Color Grosse-Wulkenhaar models: One-loop $\beta$-functions
• Spherically-symmetric geometries in a matter reference frame as quantum gravity condensates
• Quantum Gravity: Has Spacetime Quantum Properties?
• The Nonsymmetric Kaluza-Klein Theory and Modern Physics. A Novel Approach
• Graphical method in loop quantum gravity: II. The Hamiltonian constraint and inverse volume operators
• Thermodynamics of effective loop quantum black holes
• Nonholomic Distributions and Gauge Models of Einstein Gravity
• Covariant effective spacetimes of spherically symmetric electrovacuum with a cosmological constant
• Phenomenology of a massive quantum field in a cosmological quantum spacetime
• Different canonical formulations of Einstein's theory of gravity
• Alternative $k=-1$ loop quantum cosmology
• Symmetry restriction and its application to gravity
• Spin foam propagator: A new perspective to include a cosmological constant
• Lattice Loop Quantum Gravity
• Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant
• Kinematics of arbitrary spin matter fields in loop quantum gravity
• A quantum kinematics for asymptotically flat spacetimes
• Taming Thiemann's Hamiltonian constraint in canonical loop quantum gravity: reversibility, eigenstates and graph-change analysis
• Power spectrum and anisotropy of super inflation in loop quantum cosmology
• Metric emerging to massive modes in quantum cosmological space-times
• `Third' Quantization of Vacuum Einstein Gravity and Free Yang-Mills Theories
• Hamiltonian analysis of fermions coupled to the Holst action
• Statistical discrete geometry
• Radiative properties of a nonsingular black hole: Hawking radiation and gray-body factor
• Shedding Light on Gravity: Black Hole Shadows and Lensing Signatures in Lorentz Gauge Theory
• Quantum Oppenheimer-Snyder models in loop quantum cosmology with Lorentz term
• Constraint Analysis of Two-Dimensional Quadratic Gravity from BF Theory
• On a Lattice-Independent Formulation of Quantum Holonomy Theory
• Fix Immirzi parameter by quasinormal modes in four and higher spacetime dimensions
• Quantum Gravity on a Quantum Chip
• Weak gravitational interaction of fermions: quantum viewpoint
• Optical, Dynamic and Topological Characteristics of Deformed Schwarzschild Black Holes
• The Entropy of Nonrotating Isolated Horizons in Lovelock Theory from Loop Quantum Gravity
• Conformal Cores of Quantum Black Holes in Quadratic Gravity
• The Entropy of BTZ Black Hole from Loop Quantum Gravity
• Quantum Space-times: Beyond the Continuum of Minkowski and Einstein
• Loop Quantum Corrections to Statefinder Parameters of Dark Energy
• An Improved Framework for Quantum Gravity
• Towards Gaussian states for loop quantum gravity
• Aspects of quantum gravity
• The Chrono'Geometrical Structure of Special and General Relativity: Towards a Background-Independent Description of the Gravitational Field and Elementary Particles
• The kinematical Setup of Quantum Geometry: A Brief Review
• Regularized Hamiltonians and Spinfoams
• Noisy effects in interferometric quantum gravity tests
• Spin networks on adiabatic quantum computer
• Photon gas thermodynamics in dS and AdS momentum spaces
• Holographic Bound on Area of Compact Binary Merger Remnant
• The notion of Observables in Multisymplectic Geometry
• A Stepwise Planned Approach to the Solution of Hilbert's Sixth Problem. I : Noncommutative Symplectic Geometry and Hamiltonian Mechanics
• Quantum isotropy and the reduction of dynamics in Bianchi I
• Gravitational Lensing of Dark Energy Models and $\Lambda$CDM Using Observational data in Loop Quantum Cosmology
• Master constraint approach to quantum-reduced loop gravity
• Quantum variational solving of the Wheeler-DeWitt equation
• On the Green's function and iterative solutions of Loop Quantum Cosmology
• Semi-classical States in Homogeneous Loop Quantum Cosmology
• Physical Diffeomorphisms in Loop Quantum Gravity
• Palatini Formalism of 5-Dimensional Kaluza-Klein Theory
• Cosmological states in loop quantum gravity on homogeneous graphs
• Equivalence between various versions of the self-dual action of the Ashtekar formalism
• Szekeres Universes with GUP corrections
• Quantum Holonomy Theory and Hilbert Space Representations
• Uniqueness of Measures in Loop Quantum Cosmology
• A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications
• Quantum-gravitational running/reduction of space-time dimension
• Towards a Hartle-Hawking state for loop quantum gravity
• Conformally Invariant Brans-Dicke Loop Quantum Cosmology: A Quantum Geometric Model of Linking Theory
• Quantum fluctuations of the compact phase space cosmology
• Few-grid-point simulations of Big Bang singularity in quantum cosmology
• Scale invariance beyond criticality within the mean-field analysis of tensorial field theories
• Braided Tensor Products and the Covariance of Quantum Noncommutative Free Fields
• Cosmological particle production in quantum gravity
• On perturbative field theory and twistor string theory
• Emergence of scalar matter from spinfoam model
• Gauge connection formulations for general relativity
• Spherical trapped surfaces in n-dimensional general relativity
• Reconstructing the metric in group field theory
• Local Properties of Measures in Quantum Field Theory and Cosmology
• Cosmological bounce and the cosmological constant problem
• Quantum cosmology as a lattice in a box
• Canonical gravity in two time and two space dimensions
• Quasi-Local 3D Quantum Gravity : Exact Amplitude and Holography
• Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations
• Background Independence and Quantum Causal Structure
• Computing the graph-changing dynamics of loop quantum gravity
• Canonical analysis of covariant unimodular gravity and an extension of the Kodama state
• AdS gravity, SO(2,d) gauge theory and Holography
• On Special Re-quantization of a Black Hole
• Correction to the quantum relation of photons in the Doppler effect based on a special Lorentz violation model
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization
• Thermal stability of radiant black holes
• Equivalence of the self-dual and Nambu-Goto strings
• Covariant Space Time Line Elements in the Friedmann Lemaitre Robertson Walker Geometry
• Loop Quantum Vector-Tensor Gravity and Its Spherically Symmetric Model
• Simultaneous emergence of curved spacetime and quantum mechanics
• Quantum lattice models that preserve continuous translation symmetry
• Singularity Resolution in Isotropic Loop Quantum Cosmology: Recent Developments
• On the Lorentz symmetry in conformally reduced Quantum Gravity
• Purely geometric path integral for spin foams
• Homogeneous-isotropic sector of loop quantum gravity: new approach
• Asymptotic Flatness and Quantum Geometry
• Quantum Structure of Geometry: Loopy and fuzzy?
• Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
• Quantum Error Correction in Loop Quantum Gravity
• Yang-Mills extension of the Loop Quantum Gravity-corrected Maxwell equations
• Quantum Gravity and the Emergence of Matter
• Dark Energy From The Gravity Vacuum
• Barboza-Alcaniz Equation of State Parametrization : Constraining the Parameters in Different Gravity Theories
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Geometrical Quantum Time in the $U(1{)}^3$ Model of Euclidean Quantum Gravity
• Topos-theoretic Relativization of Physical Representability and Quantum Gravity
• Effective geometry of Bell-network states on a dipole graph
• Localised Systems in Relativistic Quantum Information
• Corrections to (pseudo)scalars decay into a fermion pair from gravitational torsion
• Thermodynamic partition function from quantum theory for black hole horizons in loop quantum gravity
• Revisiting canonical gravity with fermions
• Spontaneous symmetry breaking in Loop Quantum Gravity
• Canonical Gravity in Degenerate Limit
• Entropy of Black Holes in N=2 Supergravity
• Dynamical time and Ashtekar variables for the Husain-Kuchař model
• Loop quantum gravity and observations
• Modified Compton Effect and CMB Anisotropy
• Loop Quantization of a Model for D=1+2 (Anti)de Sitter Gravity Coupled to Topological Matter
• Scaling-Based Quantization of Spacetime Microstructure
• Entropy of generic quantum isolated horizons
• On Geometry and Symmetries in Classical and Quantum Theories of Gauge Gravity
• Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
• Universal horizons and Hawking radiation in nonprojectable 2d Hořava gravity coupled with a non-relativistic scalar field
• A Loop Quantum Gravity Inspired Action for the Bosonic String and Emergent Dimensions at Large Scales
• Hawking radiation and Quasinormal modes
• Quantum gravity effects on space-time
• String Theory - Nomological Unification and the Epicycles of the Quantum Field Theory Paradigm
• Discrete Hamiltonian for General Relativity
• Supmech: the Geometro-statistical Formalism Underlying Quantum Mechanics
• Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology
• Phase transitions in TGFT: Landau-Ginzburg analysis of the causally complete Lorentzian Barrett-Crane model
• The conformal factor in the parameter-free construction of spin-gauge variables for gravity
• The averaged tensors of the relative energy-momentum and angular momentum in general relativity
• Towards an Alternative Gravitational Theory
• Constrained projective quantum states for the degenerate Plebanski gravity
• Symmetries of Analytic Curves
• Realization of Dirac quantization in loop quantum gravity
• Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk
• Deparametrization and quantization of scalar-tensor gravity and its cosmological model
• Effective Theories of Quantum Cosmology
• Loop quantum cosmological model from ADM Hamiltonian
• On the evolution of the volume in Loop Quantum Cosmology
• Properties of the Rovelli-Smolin-DePietri volume operator in the spaces of monochromatic intertwiners
• Inflationary spectra from a near $\Omega$-deformed space-time transition point in Loop Quantum Cosmology
• Effective Dynamics of Loop Quantum Kaluza-Klein Cosmology
• The Proca-field in Loop Quantum Gravity
• Loop quantum gravity - a short review
• On the Generalized Einstein-Cartan Action with Fermions
• Cosmological implications of the hydrodynamical phase of group field theory
• Corrections to Higgs width decay into a fermion pair from gravitational torsion
• Commuting Simplicity and Closure Constraints for 4D Spin Foam Models
• Primordial perturbations in kinetically dominated regimes of general relativity and hybrid quantum cosmology
• Exploratory applications of the Fröhlich-Morchio-Strocchi mechanism in quantum gravity
• Random versus holographic fluctuations of the background metric. II. Note on the dark energies arising due to microstructure of space-time
• Energy spectrum of black holes : a new view
• Zen and the Art of Space-Time Manufacturing
• A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers
• Quaternion-Loop Quantum Gravity
• Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates
• Abelian Ashtekar formulation from the ADM action
• Space of quantum states built over metrics of fixed signature
• 2+1 dimensional loop quantum cosmology of Bianchi I models
• Flat spin connections in the Teleparallel equivalent of General Relativity
• Endeavours in Discrete Lorentzian Geometry; A thesis in five papers
• Quantum Cosmology Close to the Classical Big Bang Singularity and in the Semiclassical Limit
• Induced gauge interactions revisited
• Quantum geometrical current and coherence of the open gravitation system: loop quantum gravity coupled with a thermal scalar field
• Modelling cosmological singularity with compactified Milne space
• Discrete canonical analysis of three dimensional gravity with cosmological constant
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology
• Studies of Nucleon-Gold Collisions at 200 GeV per Nucleon Pair Using Tagged d+Au Interactions
• Hilbert spaces built over metrics of fixed signature
• (Anti-)BRST Symmetries in FLRW Model: Supervariable Approach
• New Approach to GUTs
• Counter-term for the Palatini action of general relativity
• Non-oscillating vacuum states and the quantum homogeneity and isotropy hypothesis in Loop Quantum Cosmology
• Is torsion needed in a theory of gravity? A reappraisal
• Nonlocal correlations for semiclassical states in loop quantum gravity
• Non singular M theory Universe in Loop Quantum Cosmology -- inspired Models
• Non singular, bouncing M theory universe
• Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case
• Examination of the nature of the Bianchi type cosmological singularities
• New Applications of Resummation in Non-Abelian Gauge Theories: QED X QCD Exponentiation for LHC Physics, IR-Improved DGLAP Theory and Resummed Quantum Gravity
• Initial Condition Problem is Intractable in Cosmology
• Mechanics of Isolated Horizons in Scalar-Tensor Theories
• Non-Abelian gauge theories invariant under diffeomorphisms
• Einstein gravity as a theory with a SL(2,C) connection double copy
• Connection dynamics of a gauge theory of gravity coupled with matter
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Time and a Temporally Statistical Quantum Geometrodynamics
• Fields of quantum reference frames based on different representations of rational numbers as states of qubit strings
• On the Hamiltonian formalism of the Tetrad-Gravity with fermions
• Hamilton-Jacobi analysis for three dimensional gravity without dynamics
• Loop Quantum Cosmology of Bianchi I Model in $\bar{\mu }$ and ${\bar{\mu }}^{\prime }$ Schemes with Higher Order Holonomy Corrections
• Space-like Singularities of General Relativity: A Phantom menace?
• Hidden Symmetries in Gravity : Black holes and other minisuperspaces
• The SL(2,R) totally constrained model: three quantization approaches
• Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology
• Note on $SU(2)$ isolated horizon
• Quantum geometry and black hole entropy: inclusion of distortion and rotation
• Causal loop quantum cosmology in momentum space
• Generalized BF state in quantum gravity
• Quantum Gravity for Dummies
• Mutual compatibility/incompatibility of quasi-Hermitian quantum observables
• Emergence and localization of exceptional points in an exactly solvable toy model
• Global Barbero-Immirzi Connections
• Implications of New Quantum Spin Perspective In Quantum Gravity
• (Pre)-Inflationary Dynamics with Starobinsky Potential in Noncommutative Effective LQC
• Dimensional Phenomenology in Polymeric Quantization Framework
• A note on cutting spin networks and the area spectrum in loop quantum gravity
• Loop Quantum Cosmology on a Torus
• A topological-like gravity model in a four dimensional space-time
• Finite-Resolution Limits on Quantum Uniqueness
• Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity
• A quantum theory of gravity
• Quantum Dyanmics of Loop Quantum Gravity
• Cosmology from a gauge induced gravity
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant
• Causal Space-Times on a Null Lattice
• From the Schwarzschild Anti de Sitter Black Hole to the Conformal Field Theory
• Spacetime discreteness via consistent microscopic measurement
• Hamiltonian formalism, master functions and Darboux transformations for perturbed (interiors and exteriors of) nonrotating black holes
• Critical collapse of a massive scalar field in semi-classical loop quantum gravity
• A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states
• Effective dynamics of Janis-Newman-Winicour spacetime
• Barbero-Immirzi parameter in Regge calculus
• Gaussian Planck Relics are Ruled-Out as Dark Matter by LIGO
• Correction to Hawking radiation in non-singular gravitational collapse
• Singularities in loop quantum cosmology
• Thermodynamical instability of black holes
• Motion in Quantum Gravity
• Complete loop quantization of a dimension 1+2 Lorentzian gravity theory
• Loop quantization of a 3D Abelian BF model with sigma-model matter