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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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
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“The kinematical state space consists of diffeomorphism classes of spin networks[11, 12].”
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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
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- 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
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Requardt, M. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0205168 · Cited by 4
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SELF-ORGANIZED CRITICAL BEHAVIOR: THE EVOLUTION OF FROZEN SPIN NETWORKS MODEL IN QUANTUM GRAVITY
Chen, J.-Z., & Zhu, J.-Y. (2008) · International Journal of Modern Physics A · doi:10.1142/s0217751x0804041x · Cited by 3
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Pullin, J. A. (1999) · International Journal of Theoretical Physics · doi:10.1023/a:1026646111144 · Cited by 3
A Proposal for the Quantum Theory of GravityPreprint
Crane, L. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9704057 · Cited by 3
Semi-Classical Holomorphic Transition Amplitudes in Covariant Loop Quantum GravityPreprint
D’Ambrosio, F. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2001.04651 · Cited by 7
Relating spin foams and canonical quantum gravity: (n−1)+1 formulation of nD spin foams
Maran, S. K. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.124004 · Cited by 3
Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity
Bähr, B. (2020) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab77ea · Cited by 2
Bolognesi, T. (2012) · Emergence, complexity and computation · doi:10.1007/978-3-642-35482-3_12 · Cited by 2
Book Review: 'A New Kind of Science'
Aaronson, S. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0206089 · Cited by 2
Recent Conceptual Consequences of Loop Quantum Gravity. Part I: Foundational AspectsPreprint
Zimmermann, R. E. (2001) · PhilSci-Archive (University of Pittsburgh) · doi:10.48550/arxiv.physics/0107061 · Cited by 2
Vaid, D., & de Sousa, L. T. (2025) · Annals of Physics · doi:10.1016/j.aop.2025.170240 · Cited by 1
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Teorías relacionales sobre la estructura del espacio-tiempo: física, filosofía, teología
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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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