The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
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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Citations
Cites
Kiefer, C. (2004) · Cited by 2,981
Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951
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Cited by
Sorted by citations
Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951
Self-citationLoop quantum cosmology: a status report
Ashtekar, A., & Singh, P. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/21/213001 · Cited by 1,205
Self-citationQuantum nature of the big bang: Improved dynamics
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.74.084003 · Cited by 1,147
“To summarize, the Hamiltonian constraint will be improved by implementing the physical idea of [4] in a more satisfactory manner.”
BackgroundMethodResultInfluentialSelf-citationQuantum Nature of the Big Bang
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Self-citationMinimal Length Scale Scenarios for Quantum Gravity
Hossenfelder, S. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-2 · Cited by 885
Metadata
- 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 › Nuclear and High Energy 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
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