The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Quantum geometry and the Schwarzschild singularity
Open accessAbstract
In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad hoc elements such as unphysical matter. The same effects are shown to lead to a resolution of the Schwarzschild singularity. The resulting quantum extension of spacetime is likely to have significant implications for the black hole evaporation process. Similarities and differences with the situation in quantum geometrodynamics are pointed out.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Foundations of Differential Geometry
Kobayashi, S., & Nomizu, K. (1963) · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · Cited by 6,384
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Kiefer, C. (2004) · Cited by 2,923
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240
Modern Canonical Quantum General Relativity
Thiemann, T. (2007) · doi:10.1017/cbo9780511755682 · Cited by 2,001
On the foundations of differential geometry
Rubio, R. (1964) · Časopis pro pěstování matematiky · doi:10.21136/cpm.1964.117506 · Cited by 1,959
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-citationAbsence of a Singularity in Loop Quantum Cosmology
Bojowald, M. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5227 · Cited by 769
Mathematical structure of loop quantum cosmology
Ashtekar, A., Bojowald, M., & Lewandowski, J. (2003) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2003.v7.n2.a2 · Cited by 762
Self-citationThiemann, T. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/4/011 · Cited by 750
Cited by
Bojowald, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-11 · Cited by 723
Self-citationQuantum nature of the big bang: An analytical and numerical investigation
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review D · doi:10.1103/physrevd.73.124038 · Cited by 609
Self-citationBOJOWALD, M. (2005) · 100 Years of Relativity · doi:10.1142/9789812700988_0014 · Cited by 542
Self-citationQuantum gravity phenomenology at the dawn of the multi-messenger era—A review
Addazi, A., Alvarez-Muniz, J., Alves Batista, R., Amelino-Camelia, G., Antonelli, V., Arzano, M., Asorey, M., Atteia, J.-L., Bahamonde, S., Bajardi, F., et al. (2022) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2022.103948 · Cited by 440
New spinfoam vertex for quantum gravity
Livine, E. R., & Speziale, S. (2007) · Physical Review D · doi:10.1103/physrevd.76.084028 · Cited by 401
Metadata
- Authors
- Ashtekar, A., & Bojowald, M.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2005-12-21
- Volume
- 23
- Issue
- 2
- Pages
- 391-411
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2147998383
- Cited by
- 431
- References
- 51
- FWCI
- 15.99
- Type
- journal article
- Language
- en
- Open access
- green
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quantum geometry and the Schwarzschild singularity. https://app.cochat.ai/papers/10.1088/0264-9381/23/2/008
- The paper
- Ashtekar, A., & Bojowald, M. (2006). Quantum geometry and the Schwarzschild singularity. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/23/2/008
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.