Canonical quantum gravity on noncommutative space–time
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Publication:2946282
DOI10.1142/S0217751X15500852zbMath1320.81098arXiv1409.1751OpenAlexW2963520011MaRDI QIDQ2946282
Publication date: 16 September 2015
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.1751
Geometrodynamics and the holographic principle (83E05) Gravitational interaction in quantum theory (81V17) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
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Cites Work
- Quantum noncommutative gravity in two dimensions
- Gravity in non-commutative geometry
- Hamiltonian gravity and noncommutative geometry
- A noncommutative deformation of general relativity
- Discreteness of area and volume in quantum gravity
- Minimal scales from an extended Hilbert space
- Canonical noncommutativity algebra for the tetrad field in general relativity
- Eigenvalues of the volume operator in loop quantum gravity
- Simplification of the spectral analysis of the volume operator in loop quantum gravity
- Diffeomorphism covariant star products and noncommutative gravity
- Coherent states, constraint classes and area operators in the new spin-foam models
- Variations of the parallel propagator and holonomy operator and the Gauss law constraint
- Quantum theory of geometry: I. Area operators
- GENERALIZED QUANTIZATION PRINCIPLE IN CANONICAL QUANTUM GRAVITY AND APPLICATION TO QUANTUM COSMOLOGY
- Maximal localization in the presence of minimal uncertainties in positions and in momenta
- Properties of the volume operator in loop quantum gravity: I. Results
- Properties of the volume operator in loop quantum gravity: II. Detailed presentation
- A gravity theory on noncommutative spaces
- Loop quantum gravity: an outside view
- Canonical quantization, spacetime noncommutativity and deformed symmetries in field theory
- Quantized Space-Time
- Noncommutative geometry and gravity
- Noncommutative gravity
- Noncommutative quantum gravity
- Perturbative noncommutative quantum gravity