Loop quantum cosmology: a status report
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The ratio of the fiducial bounce density to the Planck density is ρb/ρPl ∼ (E_b/M_Pl)^4 ∼ 10^-10, so the bounce lies comfortably below ρPl and in the same general regime usually assumed in semi-classical bounce scenarios such as loop quantum cosmology.
“The ratio to the Planck density is ρ b ρ Pl ∼ E b M Pl 4 ∼ 10 -10 ,(44) so the bounce lies comfortably below ρ Pl and in the same general regime usually assumed in semi-classical bounce scenarios such as loop quantum cosmology [35].”
From Dynamical systems analysis of an Einstein–Cartan ekpyrotic nonsingular bounce cosmology (2026) · cites this paper as [35]
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Experimental — accuracy not yet measuredAt the background level the bounce is a nonsingular ρ2-type bounce, similar in spirit to the effective Friedmann equation in loop quantum cosmology and to other torsion-based bouncing models.
“At the background level this is a nonsingular ρ 2 -type bounce, similar in spirit to the effective Friedmann equation in loop quantum cosmology [35] and to other torsion-based bouncing models [22,29].”
From Dynamical systems analysis of an Einstein–Cartan ekpyrotic nonsingular bounce cosmology (2026) · cites this paper as [35]
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“Therefore, the framework enables us to ask and answer physical questions such as: How do the expectation value of (or fluctuations in) the volume or matter density operator evolve with φ? These questions were first analyzed in detail by starting with a unit lapse in the classical theory (so that the evolution is in pr…”
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- Khoury J, Steinhardt P J and Turok N 2004 Designing cyclic universe models Phys. Rev. Lett. 92 031302 · DOI
- Steinhardt P J and Turok N 2002 Cosmic evolution in a cyclic universe Phys. Rev. D 65 126003 · DOI · Paper page
- Bojowald M, Maartens R and Singh P 2004 Loop quantum gravity and the cyclic universe Phys. Rev. D 70 083517 · DOI
- Cailleteau T, Singh P and Vandersloot K 2009 Non-singular ekpyrotic/cyclic model in loop quantum cosmology Phys. Rev. D 80 124013 · DOI
- Buchbinder E I, Khoury J and Ovrut B A 2007 New ekpyrotic cosmology Phys. Rev. D 76 123503 (arXiv:hep-th/0702154) · DOI
- Creminelli P and Senatore L 2007 A smooth bouncing cosmology with scale invariant spectrum J. Cosmol. Astropart. Phys. JCAP11(2007)010 · DOI
- Kallosh R, Kang J U, Linde A and Mukhanov V 2008 The new ekpyrotic ghost J. Cosmol. Astropart. Phys. JCAP04(2008)018 · DOI
- De Risi G, Maartens R and Singh P 2007 Graceful exit via polymerization of pre-big bang cosmology Phys. Rev. D 76 103531 · DOI
- Mielczarek J and Szydlowski M 2008 Universe from vacuum in loop-string cosmology J. Cosmol. Astropart. Phys. JCAP08(2008)014 · DOI
- Olmo G J and Singh P 2009 Effective action for loop quantum cosmology a la palatini J. Cosmol. Astropart. Phys. JCAP01(2009)030 · DOI
- G and Sengupta S 2009 Effective actions from loop quantum cosmology: correspondence with higher curvature gravity Class. Quantum Grav. 26 105002 · DOI
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- Xiao K and Zhu J-Y 2011 Stability analysis of an autonomous system in loop quantum cosmology Phys. Rev. D 83 083501 · DOI
- Lidsey J E 2004 Early universe dynamics in semi-classical loop quantum cosmology J. Cosmol. Astropart. Phys. JCAP12(2004)007 · DOI
- Chen S, Wang B and Jing J 2008 Dynamics of interacting dark energy model in Einstein and loop quantum cosmology Phys. Rev. D 78 123503 · DOI
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- Xiao K and Jhu J-Y 2010 Dynamical behavior of interacting dark energy in loop quantum cosmology Int. J. Mod. Phys. A 25 4993 · DOI
- Mielczarek J 2009 Multi-fluid potential in the loop cosmology Phys. Lett. B 675 273 · DOI
- Wu P and Zhang S N 2008 Cosmological evolution of interacting phantom (quintessence) model in loop quantum gravity J. Cosmol. Astropart. Phys. JCAP06(2008)007 · DOI
- Fu X, Yu H W and Wu P 2008 Dynamics of interacting phantom scalar field dark energy in loop quantum cosmology Phys. Rev. D 78 063001 · DOI
- Lamon R and Woehr A 2010 Quintessence and (anti-)chaplygin gas in loop quantum cosmology Phys. Rev. D 81 024026 · DOI
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- Authors
- Ashtekar, A., & Singh, P.
- Affiliations
- Pennsylvania State University (US)
- Louisiana State University (US)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2011-09-20
- Volume
- 28
- Issue
- 21
- Pages
- 213001
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2064559964
- Cited by
- 1,205
- References
- 22
- Citations by year
- 2026: 57 · 2025: 112 · 2024: 90 · 2023: 98 · 2022: 69 · 2021: 80 · 2020: 85 · 2019: 78 · 2018: 82 · 2017: 77 · 2016: 85 · 2015: 70 · 2014: 74 · 2013: 74 · 2012: 69
- FWCI
- 54.35
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Civil War Book Review (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1068743, 0854743)
- University of Pennsylvania
- Pennsylvania State University
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear 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, quantum cosmology, quantum gravity, cosmological models
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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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