The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Dynamical compactification from de Sitter space
Open accessOverview
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.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“The tunneling results in the formation of an expanding bubble, inside of which the compact sphere is destabilized and its radius grows with time.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“The radius of the compact dimensions in this theory is stabilized by a magnetic flux through the sphere, but the resulting vacua are only metastable and can decay by quantum tunneling through a barrier.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“As discussed in Ref. [8], transitions from dS 6 to AdS 2 ×S 4 can be mediated by nucleation of black holes in dS 6 .”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“As discussed in [8], they describe nucleation of regions of size comparable to the horizon, filled with the unstable vacuum at the maximum of V (ψ).”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
Experimental — accuracy not yet measuredThe cited source says what the claim attributes to it.
In the citing paper
“CJR performed a numerical calculation of the instanton action as a function of the magnetic charge Q m ; the result is shown in their Fig. 17.We have verified that their calculation agrees with our approximate formula (58).”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
The cited source says what the claim attributes to it.
In the citing paper
“The rate (70) has been estimated in [7] and has been calculated numerically for different values of parameters in Ref. [8].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
The cited source says what the claim attributes to it.
In the citing paper
“This description was used by Carroll, Johnson and Randall (CJR) [8] and is equivalent to ours, but the geometry of the instanton and the resulting spacetime structure are not evident in this approach.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
The cited source says what the claim attributes to it.
In the citing paper
“Our results reinforce and extend the earlier analyses in Refs.[8] and [7].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [8]
The cited source says what the claim attributes to it.
In the citing paper
“Yet the number of large spatial dimensions may vary from vacuum to vacuum [9,10,11,12], as is expected in string theory.”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [11]
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
Cosmological consequences of a rolling homogeneous scalar field
Ratra, B., & Peebles, P. J. E. (1988) · Physical Review D · doi:10.1103/physrevd.37.3406 · Cited by 4,310
Gravitational effects on and of vacuum decay
Coleman, S., & De Luccia, F. (1980) · Physical Review D · doi:10.1103/physrevd.21.3305 · Cited by 1,537
Supercooled phase transitions in the very early universe
Hawking, S. W., & Moss, I. L. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90946-7 · Cited by 816
Garriga, J., & Vilenkin, A. (1998) · Physical Review D · doi:10.1103/physrevd.57.2230 · Cited by 154
Flagged first, then by citations
Research works printed but not linked: 44
- 10.1103/PhysRevD.70.046005 · DOI · Paper page
- 10.1016/0550-3213(89)90037-0 · DOI
- 10.1103/PhysRevLett.95.161601 · DOI
- 10.1103/PhysRevD.55.4591 · DOI
- 10.1103/PhysRevD.52.5659 · DOI
- 10.1103/PhysRevD.54.6312 · DOI · Paper page
- 10.1103/PhysRevD.55.3614 · DOI
- 10.1023/A:1026618832525 · DOI
- 10.1103/PhysRevD.52.5865 · DOI
- 10.1103/PhysRevD.52.2254 · DOI · Paper page
- 10.1016/0550-3213(83)90636-3 · DOI
- 10.1103/PhysRevD.60.063503 · DOI · Paper page
- G.W. Gibbons, 1995, Class. Quant. Grav., 12, 297, 10.1088/0264-9381/12/2/004 · DOI · Paper page
- 10.1016/0550-3213(87)90125-8 · DOI
- 10.1142/S0217751X99001925 · DOI
- 10.1016/0550-3213(94)00364-5 · DOI
- E.A. Bergshoeff, 2005, Class. Quant. Grav., 22, 4763, 10.1088/0264-9381/22/22/008 · DOI
- C. Krishnan, 2005, J. High Energy Phys., 2005, 045, 10.1088/1126-6708/2005/05/045 · DOI
- 10.1016/0370-2693(80)90590-0 · DOI
- 10.1016/0370-2693(87)91011-2 · DOI
- 10.1016/0370-2693(89)90776-4 · DOI
- 10.1103/PhysRevD.15.2929 · DOI · Paper page
- 10.1016/0550-3213(85)90305-0 · DOI
- 10.1103/PhysRevD.76.103510 · DOI
- 10.1103/PhysRevD.68.026006 · DOI
- 10.1007/978-3-540-74353-8_5 · DOI · Paper page
- 10.1023/A:1023733106589 · DOI
- WMAP collaboration, 2009, Astrophys. J. Suppl., 180, 330, 10.1088/0067-0049/180/2/330 · DOI · Paper page
- R. Bousso, 2000, J. High Energy Phys., 2000, 006, 10.1088/1126-6708/2000/06/006 · DOI · Paper page
- 10.1103/PhysRevLett.59.2607 · DOI · Paper page
- D. Schwartz-Perlov, 2006, J. Cosmol. Astropart. Phys., 2006, 010, 10.1088/1475-7516/2006/06/010 · DOI
- 10.1007/s10714-007-0557-5 · DOI
- L. Boubekeur, 2005, J. Cosmol. Astropart. Phys., 2005, 010, 10.1088/1475-7516/2005/07/010 · DOI
- B. Freivogel, 2006, J. High Energy Phys., 2006, 039, 10.1088/1126-6708/2006/03/039 · DOI
- 10.1016/0370-2693(91)90130-I · DOI
- 10.1103/PhysRevD.78.123513 · DOI
- 10.1103/PhysRevLett.70.2837 · DOI · Paper page
- 10.1103/PhysRevD.65.064033 · DOI
- C.R. Contaldi, 2004, J. Cosmol. Astropart. Phys., 2004, 007, 10.1088/1475-7516/2004/08/007 · DOI
- S. Kinoshita, 2009, J. Cosmol. Astropart. Phys., 2009, 020, 10.1088/1475-7516/2009/06/020 · DOI
- 10.1103/PhysRevD.76.063509 · DOI
- C.W. Misner, 1973, Gravitation
- 10.1103/PhysRevD.46.1391 · DOI
- 10.1016/0550-3213(91)90440-9 · DOI
Cited by
Sorted by citations
Weak gravity conjecture, multiple point principle and the standard model landscape
Hamada, Y., & Shiu, G. (2017) · Journal of High Energy Physics · doi:10.1007/jhep11(2017)043 · Cited by 63
Observable effects of anisotropic bubble nucleation
Blanco-Pillado, J. J., & Salem, M. P. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/07/007 · Cited by 44
Transdimensional tunneling in the multiverse
Blanco-Pillado, J. J., Schwartz-Perlov, D., & Vilenkin, A. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/05/005 · Cited by 38
Paul, A., & Paban, S. (2026) · Journal of High Energy Physics · doi:10.1007/jhep09(2026)188
Metadata
- Authors
- Carroll, S. M., Johnson, M. C., & Randall, L.
- Affiliations
- California Institute of Technology (US)
- Harvard University (US)
- Venue
- Journal of High Energy Physics
- Published
- 2009-11-20
- Volume
- 2009
- Issue
- 11
- Pages
- 094-094
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2044507200
- Cited by
- 60
- References
- 4
- Citations by year
- 2026: 2 · 2025: 2 · 2023: 1 · 2022: 1 · 2021: 2 · 2020: 1 · 2019: 1 · 2018: 2 · 2017: 2 · 2016: 3 · 2015: 6 · 2014: 4 · 2013: 5 · 2012: 4
- FWCI
- 3.58
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of High Energy Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0556111)
- U.S. Department of Energy
- Gordon and Betty Moore Foundation
- California Institute of Technology
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- dynamical compactification, de Sitter space, dimensional reduction, cosmological constant, black branes, black holes, nucleation rate, cosmological constant problem, slow-roll inflation, spherical symmetry
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
