The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Emergence of a 4D World from Causal Quantum Gravity
Open accessAbstract
Causal Dynamical Triangulations in four dimensions provide a background-independent definition of the sum over geometries in nonperturbative quantum gravity, with a positive cosmological constant. We present evidence that a macroscopic four-dimensional world emerges from this theory dynamically.
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
A large-N reduced model as superstring
Ishibashi, N., Kawai, H., Kitazawa, Y., & Tsuchiya, A. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00290-3 · Cited by 1,140
Ultraviolet fixed point and generalized flow equation of quantum gravity
Lauscher, O., & Reuter, M. (2001) · Physical Review D · doi:10.1103/physrevd.65.025013 · Cited by 438
Non-perturbative Lorentzian quantum gravity, causality and topology change
Ambjørn, J., & Loll, R. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00692-0 · Cited by 388
Self-citationDynamically triangulating Lorentzian quantum gravity
Ambjørn, J., Jurkiewicz, J., & Loll, R. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00297-8 · Cited by 312
Self-citationQuantum Geometry: A Statistical Field Theory Approach
Ambjørn, J., Durhuus, B., & Jonsson, T. (1997) · Cambridge University Press eBooks · doi:10.1017/cbo9780511524417 · Cited by 238
Self-citationDiscrete Approaches to Quantum Gravity in Four Dimensions
Loll, R. (1998) · Living Reviews in Relativity · doi:10.12942/lrr-1998-13 · Cited by 232
Self-citationFour-dimensional simplicial quantum gravity
Ambjørn, J., & Jurkiewicz, J. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)90709-d · Cited by 205
Self-citationNonperturbative Lorentzian Path Integral for Gravity
Ambjørn, J., Jurkiewicz, J., & Loll, R. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.924 · Cited by 194
Self-citationProper-time gauge in the quantum theory of gravitation
Teitelboim, C. (1983) · Physical Review D · doi:10.1103/physrevd.28.297 · Cited by 176
On the fractal structure of two-dimensional quantum gravity
Jan Ambjørn, A., Jurkiewicz, J., & Watabiki, Y. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00468-8 · Cited by 155
Self-citation
Cited by
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Codello, A., Percacci, R., & Rahmede, C. (2009) · Annals of Physics · doi:10.1016/j.aop.2008.08.008 · Cited by 538
Reuter, M., & Saueressig, F. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/5/055022 · Cited by 375
Quantum gravity from causal dynamical triangulations: a review
Loll, R. (2020) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab57c7 · Cited by 359
Self-citation
Metadata
- Authors
- Ambjørn, J., Jurkiewicz, J., & Loll, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-09-21
- Volume
- 93
- Issue
- 13
- Pages
- 131301-131301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2101483245
- Cited by
- 447
- References
- 26
- FWCI
- 12.51
- 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: Emergence of a 4D World from Causal Quantum Gravity. https://app.cochat.ai/papers/10.1103/physrevlett.93.131301
- The paper
- Ambjørn, J., Jurkiewicz, J., & Loll, R. (2004). Emergence of a 4D World from Causal Quantum Gravity. Physical Review Letters. https://doi.org/10.1103/physrevlett.93.131301
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.
