31. Loop quantum dynamics of the Schwarzschild interior
    2007/09/30 by Christian G. Böhmer, Christian G. Boehmer, Kevin Vandersloot · 3 citations
    Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #De Sitter universe #General relativity #Geometry #Gravitation #Initial singularity #Loop quantum cosmology #Loop quantum gravity #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Singularity #Theoretical physics #Universe #astro-ph #gr-qc #math-ph #math.MP
32. Solving the simplicity constraints for spinfoam quantum gravity
    2007/08/31 by E. R. Livine, Etera R. Livine, Simone Speziale +1 · 8 citations
    Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #General relativity #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Quantum #Quantum gravity #Simplicity #Spin foam #Spin network #gr-qc #hep-th
33. Complete LQG propagator: Difficulties with the Barrett-Crane vertex
    2007/08/07 by Emanuele Alesci, Carlo Rovelli · 6 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Cosmology and Gravitation Theories #Formalism (music) #Graph #Gravitation #Graviton #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Propagator #Quantum #Quantum gravity #Quantum mechanics #Spin foam #Spin network #Vertex (graph theory) #gr-qc
34. Loop-Quantum-Gravity Vertex Amplitude
    2007/05/16 by Jonathan Engle, Roberto Pereira, Carlo Rovelli · 12 citations
    Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Euclidean quantum gravity #General relativity #Graph #Gravitation #Graviton #Hořava–Lifshitz gravity #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Spin foam #Spin network #Vertex (graph theory) #gr-qc
35. 3D spinfoam quantum gravity: matter as a phase of the group field theory
    2007/02/23 by Winston Fairbairn, Winston J. Fairbairn, Etera R. Livine · 2 citations
    Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Context (archaeology) #Cosmology and Gravitation Theories #Field (mathematics) #Group (periodic table) #Group field theory #Loop quantum gravity #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Preprint #Pure mathematics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Spin foam #Theoretical physics #Thermal quantum field theory #gr-qc
36. Loop quantum cosmology and thek=−1Robertson-Walker model
    2006/12/31 by Kevin Vandersloot · 4 citations
    Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computer science #Cosmology #Cosmology and Gravitation Theories #Curvature #Geometry #Loop quantum cosmology #Loop quantum gravity #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Scalar field #Theoretical physics #Universe #gr-qc
37. Closed Friedmann–Robertson–Walker model in loop quantum cosmology
    2006/12/19 by Łukasz Szulc, Lukasz Szulc, Wojciech Kaminski +2 · 2 citations
    Physics and Astronomy · #Advanced Mathematical Theories and Applications #Bounded function #Cosmology and Gravitation Theories #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Operator (biology) #Quantum #Quantum cosmology #Universe #gr-qc #hep-th
38. Loop Quantum Gravity: An Inside View
    2006/08/29 by Thomas Thiemann, T. Thiemann · 7 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Control (management) #Linear-quadratic-Gaussian control #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Mechanics and Applications #Quantum gravity #Quantum mechanics #Spin foam #Subject (documents) #Theoretical physics #astro-ph #gr-qc #hep-th #math-ph #math.MP
39. Irreducibility of the Weyl Algebra in Loop Quantum Gravity
    2006/08/11 by Christian Fleischhack · 2 citations
    Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics #Algebraic structures and combinatorial models #Loop quantum gravity #Physics #Irreducibility #Quantum gravity #Loop (graph theory) #Mathematical physics #Quantum #Spin foam #Theoretical physics #Quantum mechanics #Algebra over a field #Mathematics #Pure mathematics #Combinatorics
40. Spectroscopy of a canonically quantized horizon
    2006/07/31 by Mohammad H. Ansari · 2 citations
    Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Gravitational wave #Hawking radiation #Horizon #Loop quantum gravity #Micro black hole #Noncommutative and Quantum Gravity Theories #Physics #Planck #Quantum #Quantum gravity #Quantum mechanics #Virtual black hole #gr-qc #hep-th
41. Algebraic quantum gravity (AQG): I. Conceptual setup
    2006/07/23 by K. Giesel, Kristina Giesel, T. Thiemann +1 · 12 citations
    Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Hilbert space #Loop quantum gravity #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #Topology (electrical circuits) #gr-qc #hep-th #math-ph #math.MP
42. Approximating the physical inner product of loop quantum cosmology
    2006/07/19 by Benjamin Bahr, Thomas Thiemann · 1 citation
    Physics and Astronomy · #Advanced Mathematical Theories and Applications #Class (philosophy) #Constraint (computer-aided design) #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Product (mathematics) #Quantum #Quantum Electrodynamics and Casimir Effect #Simple (philosophy) #gr-qc
43. Instabilities in numerical loop quantum cosmology
    2006/07/11 by Jessica Rosen, Jae-Hun Jung, Gaurav Khanna · 1 citation
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Classical mechanics #Computer science #Constraint (computer-aided design) #Cosmology #Cosmology and Gravitation Theories #Geometry #Loop quantum cosmology #Loop quantum gravity #Mathematical physics #Mathematics #Neumann boundary condition #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Stability (learning theory) #Theoretical physics #Von Neumann stability analysis #gr-qc
44. Generic degeneracy and entropy in loop quantum gravity
    2006/03/31 by Mohammad H. Ansari · 3 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole complementarity #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Degeneracy (biology) #Entropy (arrow of time) #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Micro black hole #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc #hep-th
45. Loop and Spin Foam Quantum Gravity: A Brief Guide for Beginners
    2006/01/31 by Hermann Nicolai, H. Nicolai, Kasper Peeters +1 · 1 citation
    Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Electrodynamics and Casimir Effect #Spin (aerodynamics) #Spin foam #hep-th
46. Unboundedness of triad-like operators in loop quantum gravity
    2005/05/08 by J Brunnemann, Johannes Brunnemann, Thomas Thiemann +1 · 4 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Curvature #Gravitational singularity #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Quantum #Quantum gravity #Semiclassical gravity #Spin foam #astro-ph #gr-qc #hep-th #math-ph #math.MP
47. On (cosmological) singularity avoidance in loop quantum gravity
    2005/05/08 by Johannes Brunnemann, Thomas Thiemann · 6 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Curvature #De Sitter universe #Geometry #Initial singularity #Linear-quadratic-Gaussian control #Loop quantum cosmology #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Optimal control #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Singularity #Universe #astro-ph #gr-qc #hep-th #math-ph #math.MP
48. Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
    2005/04/30 by Jerzy Lewandowski, Andrzej Okolow, Andrzej Okołów +2 · 19 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Diffeomorphism #Hamiltonian (control theory) #Holonomy #Invariant (physics) #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #gr-qc #hep-th #math-ph #math.MP
49. 判例評釈 民事手続判例研究 地方裁判所にその管轄区域内の簡易裁判所の管轄に属する訴訟が提起された場合における当該簡易裁判所への移送の判断基準[最高裁第二小法廷平成20.7.18決定]
    2005/02/09 by Leonardo Modesto, Carlo Rovelli, 雄二 柳沢 · 4 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Context (archaeology) #Cosmology and Gravitation Theories #Gravitation #Gravitational field #Group field theory #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum gravity #Quantum mechanics #Spin foam #Theoretical physics #gr-qc
50. Loop quantum gravity: an outside view
    2005/01/31 by Hermann Nicolai, Kasper Peeters, Marija Zamaklar · 13 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Closure (psychology) #Connection (principal bundle) #Constraint (computer-aided design) #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Quantum #Quantum gravity #gr-qc #hep-th
51. Testing the master constraint programme for loop quantum gravity: I. General framework
    2004/11/29 by Bianca Dittrich, Thomas Thiemann · 16 citations
    Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Black Holes and Theoretical Physics #Computer science #Constraint (computer-aided design) #Constraint satisfaction #Flexibility (engineering) #Linear-quadratic-Gaussian control #Loop quantum gravity #Master equation #Mathematical optimization #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Optimal control #Physics #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum gravity #Quantum mechanics #gr-qc #hep-th #math-ph #math.MP
52. Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems
    2004/11/29 by Bianca Dittrich, Thomas Thiemann · 9 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Geometry #Hamiltonian (control theory) #Hamiltonian constraint #Loop (graph theory) #Loop quantum cosmology #Loop quantum gravity #Mathematical optimization #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Series (stratigraphy) #Theoretical physics #Wheeler–DeWitt equation #gr-qc #hep-th #math-ph #math.MP
53. Testing the master constraint programme for loop quantum gravity: IV. Free field theories
    2004/11/29 by Bianca Dittrich, Thomas Thiemann · 10 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Hamiltonian (control theory) #Hamiltonian constraint #Loop quantum gravity #Master equation #Mathematical optimization #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc #hep-th #math-ph #math.MP
54. Testing the master constraint programme for loop quantum gravity: V. Interacting field theories
    2004/11/29 by Bianca Dittrich, Thomas Thiemann · 4 citations
    Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Classical mechanics #Constraint (computer-aided design) #Constraint algebra #Cosmology and Gravitation Theories #Euclidean quantum gravity #General relativity #Hamiltonian (control theory) #Hamiltonian constraint #Hořava–Lifshitz gravity #Linearized gravity #Loop quantum gravity #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Quantum process #Spin foam #Theoretical physics #gr-qc #hep-th #math-ph #math.MP
55. Partial and complete observables for Hamiltonian constrained systems
    2004/11/02 by Bianca Dittrich, B. Dittrich · 11 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantum gravity #Cosmology and Gravitation Theories #Diffeomorphism #Gauge theory #Hamiltonian (control theory) #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #Wheeler–DeWitt equation #gr-qc
56. Symmetry and entropy of black hole horizons
    2004/09/30 by Olaf Dreyer, Fotini Markopoulou, Lee Smolin · 3 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Computer science #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Hilbert space #Immirzi parameter #Loop quantum gravity #Mathematics #Noncommutative and Quantum Gravity Theories #Open quantum system #Physics #Quantum #Quantum discord #Quantum gravity #Quantum mechanics #Quantum relative entropy #Theoretical physics #gr-qc #hep-th
57. Fixed Points of Quantum Gravity
    2003/12/31 by Daniel F. Litim · 10 citations
    Mathematics · Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Canonical quantum gravity #Einstein #Euclidean geometry #Euclidean quantum gravity #Fixed point #Gauge (firearms) #Geometry #Hořava–Lifshitz gravity #Infrared fixed point #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum dynamics #Quantum geometry #Quantum gravity #Quantum mechanics #Quantum process #Renormalization group #Semiclassical gravity #Spin foam #Theoretical physics #Ultraviolet fixed point #hep-ph #hep-th
58. A DIALOG ON QUANTUM GRAVITY
    2003/10/01 by Carlo Rovelli · 1 voice · 5 citations
    Medicine · Physics and Astronomy · #Aside #Biofield Effects and Biophysics #Conversation #Epistemology #Impartiality #Linguistics #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Quantum #Quantum gravity #Quantum mechanics #Relativity and Gravitational Theory #String (physics) #String theory #Theoretical physics #gr-qc #hep-th
59. Minkowski vacuum in background independent quantum gravity
    2003/07/30 by Florian Conrady, Luisa Doplicher, Robert Oeckl +3 · 4 citations
    Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Classical mechanics #Covariant transformation #Gravitation #Gravitational field #Loop quantum gravity #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Propagator #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum gravity #Quantum mechanics #Vacuum energy #gr-qc
60. The Phoenix Project: master constraint programme for loop quantum gravity
    2003/05/21 by Thomas Thiemann · 11 citations
    Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Canonical quantum gravity #Commutator #Constraint (computer-aided design) #Constraint algebra #Cosmology and Gravitation Theories #General relativity #Hamiltonian (control theory) #Hamiltonian constraint #Lie algebra #Loop quantum gravity #Mathematical optimization #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Spin foam #Theoretical physics #gr-qc #hep-th #math-ph #math.MP #quant-ph

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