Discreteness of area and volume in quantum gravity

From MaRDI portal
Publication:1890677

DOI10.1016/0550-3213(95)00150-QzbMath0925.83013arXivgr-qc/9411005OpenAlexW2104041846MaRDI QIDQ1890677

Carlo Rovelli, Lee Smolin

Publication date: 21 May 1995

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9411005




Related Items

Holography, quantum geometry, and quantum information theoryEffective potential in noncommutative BTZ black holeAbout dark energy and dark matter in a three-dimensional quantum vacuum modelBarrow fractal entropy and the black hole quasinormal modesTowards noncommutative linking numbers via the Seiberg-Witten mapElementary charge and neutrino's mass from Planck lengthClassical polymerization of the Schwarzschild metricTowards a dual spin network basis for (3+1)d lattice gauge theories and topological phasesQuasinormal modes and horizon area quantisation in loop quantum gravityA one-particle time of arrival operator for a free relativistic spin-\(0\) charged particle in \((1+1)\) dimensionsQuantum cosmology from group field theory condensates: a reviewLoop space representation of quantum fermions and gravity`Third' quantization of vacuum Einstein gravity and free Yang-Mills theoriesQuantum space and quantum completenessSimplifying the spectral analysis of the volume operatorStatistical description of an ideal gas in maximum length quantum mechanicsSpace-like singularities of general relativity: a phantom menace?A model of wavefunction collapse in discrete space-timeOn black hole radiation spectrum in loop quantum gravityFunctional integration on spaces of connectionsDifferential geometry on the space of connections via graphs and projective limitsCausal evolution of spin networksThe wave function of the universe in new variablesA note on Penrose's spin-geometry theorem and the geometry of `empirical quantum angles'On boundedness of entropy of photon gas in noncommutative spacetimeA note on the Holst action, the time gauge, and the Barbero-Immirzi parameterQuantum deformation of quantum gravityNon-perturbative 3D quantum gravity: quantum boundary states and exact partition functionWeave states in loop quantum gravityBorn-Infeld gravity from the MacDowell-Mansouri action and its associated \(\beta\)-termFock representation of gravitational boundary modes and the discreteness of the area spectrumArea operator in loop quantum gravityThe Fock space of loopy spin networks for quantum gravityAsymptotics of classical spin networks. With an appendix by Don ZagierQuantum field as a quantum cellular automaton: the Dirac free evolution in one dimensionFusion basis for lattice gauge theory and loop quantum gravityApproximation of the naive black hole degeneracyReview on hermiticity of the volume operators in loop quantum gravityQuantized curvature in loop quantum gravityGUP and its application to angular momentum algebraThe firewall transformation for black holes and some of its implicationsThe closure constraint for the hyperbolic tetrahedron as a Bianchi identitySachs' free data in real connection variablesQuasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical dualsLQG propagator from the new spin foamsLoop quantum gravity à la Aharonov-BohmMinimal length in quantum gravity and the fate of Lorentz invarianceGravitational collapse in loop quantum gravityGeneralized Ashtekar variables for Palatini \(f(\mathcal{R})\) modelsLoop quantum gravity: a new threat to humeanism? I: The problem of spacetimeSpectroscopy of a canonically quantized horizon5-Dimensional \(SO(1,4)\)-invariant action as an origin to the Magueijo-Smolin doubly special relativity proposalGravitational \( \mathrm{SL} (2, \mathbb{R} )\) algebra on the light coneEffective GUP-modified Raychaudhuri equation and black hole singularity: four modelsPhysics with nonperturbative quantum gravity: Radiation from a quantum black holeSymplectic quantization. II: Dynamics of space-time quantum fluctuations and the cosmological constantGeneric degeneracy and entropy in loop quantum gravityThe perturbative Regge-calculus regime of loop quantum gravityFlipped spinfoam vertex and loop gravity\((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfacesDiscrete gravity as a topological field theory with light-like curvature defectsNoncommutative duality and fermionic quasinormal modes of the BTZ black holeThe dark side of a patchwork universeNon singular M theory universe in loop quantum cosmology-inspired modelsTwistor theory on a finite graphBlack hole interior from loop quantum gravityGeneralized Lagrangian-path representation of non-relativistic quantum mechanicsDiscrete quantum spectrum of black holesHigh energy bosons do not propagateSemiclassical loop quantum black holeNew approach to calculating the spectrum of a quantum space-timeA proposal for a Bohmian ontology of quantum gravityMembrane paradigm realized?The length operator in loop quantum gravitySemiclassical regime of Regge calculus and spin foamsEdge modes of gravity. III: Corner simplicity constraintsConformal cyclic evolution of the universe: a loop quantum gravity perspectiveSupersymmetric minisuperspace models in self-dual loop quantum cosmologyFinitary-algebraic `resolution' of the inner Schwarzschild singularitySimple derivation of minimum length, minimum dipole moment and lack of space-time continuityToy model for a relational formulation of quantum theoryOn the Hamiltonian formalism of the tetrad-gravity with fermionsLoop quantum cosmology and inhomogeneitiesOn the expansion of a quantum field theory around a topological sectorNatural discrete differential calculus in physicsEncoding curved tetrahedra in face holonomies: phase space of shapes from group-valued moment mapsCombinatorial space from loop quantum gravityOn quantum statistical mechanics of a Schwarzschild black holePath integral quantization of volumeCosmological implications of the hydrodynamical phase of group field theoryQuantization of diffeomorphism invariant theories of connections with a non-compact structure group -- an example``Forget timeLoop quantum cosmology: An overviewSome surprising implications of background independence in canonical quantum gravityLoop quantum gravity: a demystified viewBianchi type I, Schutz perfect fluid and evolutionary quantum cosmologyMinimal length scale scenarios for quantum gravityThe spin-foam approach to quantum gravityTowards a background independent approach to \(\mathcal M\) theoryNuclear spacetime theories, superstrings, Monster group and applicationsBell nonlocality in maximal-length quantum mechanics\(q\) deformed formulation of Hamiltonian SU(3) Yang-Mills theoryString-net formulation of Hamiltonian lattice Yang-Mills theories and quantum many-body scars in a nonabelian gauge theory30 years in: Quo vadis generalized uncertainty principle?Invariant perfect tensorsOn the horizon area of effective loop quantum black holesMassless Dirac perturbations in a consistent model of loop quantum gravity black hole: quasinormal modes and particle emission ratesLoop representation of quantum gravityPrimordial gravity waves in a rainbow backgroundQuantum circuit dynamics via path integrals: Is there a classical action for discrete-time paths?Quantization of measure in gravitationA spin foam model without bubble divergencesLoop quantum gravity on non-compact spacesEleven-dimensional supergravity as a constrained topological field theoryThe strong and weak holographic principlesObserver-independent quantum of massQuantum computation toward quantum gravityTowards anisotropic cosmology in group field theoryDiffuse emission from black hole remnantsAnalysing (cosmological) singularity avoidance in loop quantum gravity using U (1)3 coherent states and Kummer’s functionsIntertwiner entanglement excitation and holonomy operatorMarkov chain Monte Carlo methods for graph refinement in spinfoam cosmologyRelativistic spin networks and quantum gravityClosed formula for the matrix elements of the volume operator in canonical quantum gravityA length operator for canonical quantum gravityPosition-dependent mass in strong quantum gravitational background fieldsLoop quantum cosmology: from pre-inflationary dynamics to observationsSEMICLASSICAL BLACK HOLES WITH LARGE N RESCALING AND INFORMATION LOSS PROBLEMBLACK HOLE AREA QUANTIZATIONRandom SU(2) invariant tensorsTopics in noncommutative geometry inspired physicsSupersymmetric spin networksQuantum gravity: Physics from supergeometriesEdge modes of gravity. II: Corner metric and Lorentz chargesSpin networks for noncompact groupsBouncing scalar field cosmology in the polymeric minisuperspace pictureSeparable Hilbert space in loop quantum gravityInvariants in quantum geometryCanonical quantum gravity on noncommutative space–timeCANONICAL REALIZATIONS OF DOUBLY SPECIAL RELATIVITYFUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITYOn the Hamiltonian formalism of the tetrad-connection gravityModified entropies as the origin of generalized uncertainty principlesQuantum field theoretic representation of Wilson surfaces. I: Higher coadjoint orbit theoryBlack hole thermodynamics in Snyder phase spaceNew boundary variables for classical and quantum gravity on a null surfaceDiffeomorphism invariant cosmological sector in loop quantum gravityDynamics of anisotropies close to a cosmological bounce in quantum gravityQuantum field theoretic representation of Wilson surfaces. II: Higher topological coadjoint orbit modelInitial conditions for cosmological perturbationsLinking topological quantum field theory and nonperturbative quantum gravityQuantization of diffeomorphism invariant theories of connections with local degrees of freedomOutline of a generally covariant quantum field theory and a quantum theory of gravitySimplicial Topological Coding and Homology of Spin NetworksPosition and length operators in a theory with minimal lengthON QUANTUM NATURE OF BLACK-HOLE SPACETIME: A POSSIBLE NEW SOURCE OF INTENSE RADIATIONBackground-independent condensed matter models for quantum gravityThe Holst spin foam model via cubulationsQuantum Space-TimesPhoton gas thermodynamics in dS and AdS momentum spacesOn the distribution of the eigenvalues of the area operator in loop quantum gravityArea Quantization in Quasi-Extreme Black HolesThe century of the incomplete revolution: Searching for general relativistic quantum field theoryQuantum grammarsMODELING M-THEORY VACUA VIA GAUGED S-DUALITYLoop quantum cosmologyTowards background independent quantum gravity with tensor modelsArea propagator and boosted spin networks in loop quantum gravityPerturbative polymer quantum field theory and high energy scalar propagatorMinimal length effects on quantum cosmology and quantum black hole modelsGENERALIZED QUANTIZATION PRINCIPLE IN CANONICAL QUANTUM GRAVITY AND APPLICATION TO QUANTUM COSMOLOGYTwisted geometries coherent states for loop quantum gravityA new realization of quantum geometryDeformed algebra and the effective dynamics of the interior of black holesLoop quantum gravity’s boundary mapsOn the quasi-position representation in theories with a minimal lengthEuclidean LQG dynamics: an electric shift in perspectiveProperties of the Rovelli–Smolin–DePietri volume operator in the spaces of monochromatic intertwinersA MINIMAL MODEL FOR QUANTUM GRAVITYReduced loop quantization with four Klein–Gordon scalar fields as reference matterLoop Quantum Cosmology, Space-Time Structure, and FalsifiabilityNormalization of quantized area using torsion and spinLoop quantum cosmologyAnalogue gravityLoop quantum gravityON THE CONSISTENCY OF THE CONSTRAINT ALGEBRA IN SPIN NETWORK QUANTUM GRAVITYLOOP CONSTRAINTS: A HABITAT AND THEIR ALGEBRAQuantum nature of the big bang: Improved dynamicsLoop quantum gravityNatural cutoffs via compact symplectic manifoldsPolymer quantization effects on gauge-flationOn relativistic spin network verticesA GAUSSIAN WEAVE FOR KINEMATICAL LOOP QUANTUM GRAVITYNoncommutative field theory on ℝ3λSelf-assembly of geometric space from random graphsProbing the shape of quantum surfaces: the quadrupole moment operatorHow information crosses Schwarzschild’s central singularityRenormalizing spacetimeReconcile Planck-scale discreteness and the Lorentz-Fitzgerald contractionSPECTROSCOPY OF AN AdS REISSNER–NORDSTRØM BLACK HOLEA curvature operator for a regular tetrahedron shape in LQGQuantum computing and hidden variablesLoop-Quantum-Gravity Vertex AmplitudeFormation and Evolution of Structure in Loop CosmologyGraviton Propagator from Background-Independent Quantum GravityREGGE GRAVITY FROM SPINFOAMSTIME AND A TEMPORALLY STATISTICAL QUANTUM GEOMETRODYNAMICSOn pairs of difference operators satisfying [D, X=Id] ⋮ The degrees of freedom of area Regge calculus: dynamics, non-metricity, and broken diffeomorphismsRelative entropy as a measure of inhomogeneity in general relativityQuantum Geometry and Black Hole EntropyQUANTUM GEOMETRY AND ITS IMPLICATIONS FOR BLACK HOLESQUANTUM GEOMETRY AND THE BIG BANGA CRITICAL ANALYSIS OF THE COSMOLOGICAL IMPLEMENTATION OF LOOP QUANTUM GRAVITYLoop Quantum Gravity and the Planck Regime of CosmologyA novel mechanism for probing the Planck scaleEmergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model



Cites Work