Mathematical structure of loop quantum cosmology
Open accessAbstract
Applications of Riemannian quantum geometry to cosmology have had notable successes.In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity.However, the precise mathematical structure underlying loop quantum cosmology and the sense in which it implements the full quantization program in a symmetry reduced model has not been made explicit.The purpose of this paper is to address these issues, thereby providing a rmer mathematical and conceptual foundation to the subject.
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Vandersloot, K. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.103506 · Cited by 120 · see citing works
Effective quantum extended spacetime of polymer Schwarzschild black hole
Bodendorfer, N., Mele, F. M., & Münch, J. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab3f16 · Cited by 119 · see citing works
Future singularities and teleparallelism in loop quantum cosmology
Bamba, K., de Haro, J., & Odintsov, S. D. (2013) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2013/02/008 · Cited by 118 · see citing works
Loop quantization of vacuum Bianchi I cosmology
Martín-Benito, M., Marugán, G. A. M., & Pawłowski, T. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.064008 · Cited by 114 · see citing works
Singularity resolution in loop quantum cosmology: A brief overview
Ashtekar, A. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/189/1/012003 · Cited by 113 · see citing works
Self-citationLight rings and shadows of static black holes in effective quantum gravity
Liu, W., Wu, D., & Wang, J. (2024) · Physics Letters B · doi:10.1016/j.physletb.2024.139052 · Cited by 111 · see citing works
Homogeneous loop quantum cosmology: the role of the spin connection
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Semiclassical states, effective dynamics, and classical emergence in loop quantum cosmology
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Towards cosmological dynamics from loop quantum gravity
Li, B.-F., Singh, P., & Wang, A. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.97.084029 · Cited by 108 · see citing works
Quantum Bounce and Cosmic Recall
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Physical evolution in loop quantum cosmology: The example of the vacuum Bianchi I model
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Lattice refining loop quantum cosmology, anisotropic models, and stability
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Anomaly-free cosmological perturbations in effective canonical quantum gravity
Barrau, A., Bojowald, M., Calcagni, G., Grain, J., & Kagan, M. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/05/051 · Cited by 106 · see citing works
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Shadow and stability of quantum-corrected black holes
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Spherically symmetric loop quantum gravity: analysis of improved dynamics
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EFFECTIVE CONSTRAINTS FOR QUANTUM SYSTEMS
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Further improvements in the understanding of isotropic loop quantum cosmology
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Spherically Symmetric Quantum Geometry: Hamiltonian ConstraintPreprint
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Positive cosmological constant in loop quantum cosmology
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QUANTUM GRAVITY AND HIGHER CURVATURE ACTIONS
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Black Hole Interior from Loop Quantum Gravity
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Consistent Loop Quantum CosmologyPreprint
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Observational issues in loop quantum cosmology
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Quantum cosmology with a big-brake singularity
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Genericness of a Big Bounce in Isotropic Loop Quantum Cosmology
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Dynamics of an interacting dark energy model in Einstein and loop quantum cosmology
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Stepping out of homogeneity in loop quantum cosmology
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- Authors
- Ashtekar, A., Bojowald, M., & Lewandowski, J.
- Affiliations
- Pennsylvania State University (US)
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 2003
- Volume
- 7
- Issue
- 2
- Pages
- 233-268
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2101065856
- Cited by
- 762
- References
- 38
- Citations by year
- 2026: 14 · 2025: 30 · 2024: 24 · 2023: 26 · 2022: 21 · 2021: 37 · 2020: 35 · 2019: 34 · 2018: 27 · 2017: 21 · 2016: 36 · 2015: 31 · 2014: 31 · 2013: 44 · 2012: 48
- FWCI
- 25.23
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- Funders
- National Science Foundation (0090091)
- University of Pennsylvania
- Pennsylvania State University
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- loop quantum cosmology, Big Bang singularity resolution, discrete spacetime, mathematical structures
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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