The DOI matches its Crossref record; 49 of the 49 references it cites were found in a registry or an index.
Causal evolution of spin networks
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Claims the paper makes
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“These rules generate surface-like excitations of the same kind we encounter in the more standard spin-foam model, but endow the foam with a notion of causality.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [267]
In the citing paper
“Using the kinematical setting of LQG with the assumption of the existence of a micro-local (in the sense of Planck scale) causal structure, Markopoulou and Smolin define a general class of (causal) spin-foam models for gravity [267, 264] (see also [268]).”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [267]
In the citing paper
“The models are not related to any continuum action.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [267]
Citations
Cites
General Relativity – An Einstein Centenary Survey
Irvine, J. M. (1980) · Physics Bulletin · doi:10.1088/0031-9112/31/4/029 · Cited by 2,872
New Variables for Classical and Quantum Gravity
Ashtekar, A. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.2244 · Cited by 1,663
(1979) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,590
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · cited 2×
“The kinematical state space consists of diffeomorphism classes of spin networks[11, 12].”
BackgroundSelf-citationNew Hamiltonian formulation of general relativity
Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119
Bombelli, L., Lee, J., Meyer, D., & Sorkin, R. D. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.521 · Cited by 1,012
Loop space representation of quantum general relativity
Rovelli, C., & Smolin, L. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90019-a · Cited by 806
Self-citationJanssen, H. K. (1981) · The European Physical Journal B · doi:10.1007/bf01319549 · Cited by 698
Spin networks and quantum gravity
Rovelli, C., & Smolin, L. (1995) · Physical Review D · doi:10.1103/physrevd.52.5743 · Cited by 629
Self-citationOn phase transitions in Schl�gl's second model
Grassberger, P. (1982) · The European Physical Journal B · doi:10.1007/bf01313803 · Cited by 623
Research works printed but not linked: 6
- Rovelli, 1995, Discreteness of area and volume in quantum gravity, Nucl. Phys. B, 456, 734
- A. Ashtekar and J. Lewandowski, Quantum Geometry 1: area operator, gr-qc/9602046. · arXiv
- Borissov, 1996, Ph.D. thesis
- L. Smolin, The classical limit and the form of the hamiltonian constraint in non-perturbative quantum gravity, CGPG preprint, gr-qc/9609034. · arXiv
- DePietri, 1996, Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity, Phys. Rev. D, 54, 2664, 10.1103/PhysRevD.54.2664 · DOI · Paper page
- Borissov, 1996, Ph.D. thesis
Cited by
Sorted by citations
(1998) · doi:10.12942/lrr-1998-1 · Cited by 917
Quantum-Spacetime Phenomenology
Giovanni Amelino-camelia, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-5 · Cited by 886
The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677
Spin foam models for quantum gravity
Perez, A. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/6/202 · Cited by 532
Quantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
Metadata
- Authors
- Markopoulou, F., & Smolin, L.
- Affiliations
- Imperial College London (GB)
- Pennsylvania State University (US)
- ORCID
- Smolin, Lee
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1997-12
- Volume
- 508
- Issue
- 1-2
- Pages
- 409-430
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2122888037
- Cited by
- 134
- References
- 49
- Citations by year
- 2026: 4 · 2025: 2 · 2024: 3 · 2022: 2 · 2021: 2 · 2020: 3 · 2019: 1 · 2018: 2 · 2016: 3 · 2015: 1 · 2013: 4 · 2012: 1
- FWCI
- 13.28
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9514240)
- National Aeronautics and Space Administration
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- quantum gravity, causal sets, spin networks, loop representation, simplicial quantum gravity, directed percolation, classical limit, discrete spacetime, 1+1 dimensional gravity
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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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