The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Canonical quantization of cosmological perturbations in the one-bubble open universe
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The combination of prior and anthropic effects places most observers in spacetime regions where Ω_curv is unobservably small, but gives a reasonable probability of order ten percent to observe Ω_curv ~ 10^-5.
“The combination of these effects places most observers in spacetime regions in which Ω 0 curv is unobservably small (i.e.below cosmic variance), but at the same time gives a reasonable probability, roughly of order ten percent chance, to observe Ω 0 curv 10 -5 [68,69].”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [69]
The Introduction describes an open-inflation bubble model, and Section III discusses quantizing its perturbations; neither addresses the distribution of observers or the probability of observing curvature. Searches for anthropic and prior effects, cosmic variance, Ω_curv ≈ 10^-5, and a ten-percent probability found no passage supporting the attributed claim. Page numbers were not supplied for these passages. (LLM, conf=0.75)
Experimental — accuracy not yet measuredAnthropic selection gives a mass function of Milky-Way mass galaxies approximately independent of Ω_curv for Ω_curv ≪ O(0.1), falling off exponentially for roughly Ω_curv > 0.7.
“The effect of anthropic selection is most carefully computed in [69], where it is found that the mass function of Milky-Way mass galaxies is approximately independent of Ω curv for Ω curv ≪ O(0.1), and falls off exponentially for roughly Ω curv > 0.7”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [69]
The Introduction discusses open-inflation models, and Section IV analyzes the spectrum of gravity waves. Neither those passages nor searches for anthropic selection, the Milky-Way galaxy mass function, and the stated curvature thresholds found a passage addressing the claimed result. Our copy therefore cannot verify that this source computed it. (LLM, conf=0.78)
Experimental — accuracy not yet measuredIn the present case, all three measures mentioned (comoving probability, causal patch, and scale-factor cutoff) give similar predictions.
“however in the present case it turns out that all three measures mentioned above give similar predictions [66,67,68,69].”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [69]
The Conclusions and Discussion section says the paper derives reduced actions for scalar and tensor cosmological perturbations. Searches for comoving probability, causal-patch and scale-factor-cutoff measures, and for comparisons of their predictions, found no passage addressing the claim. The citation appears alongside three others, but our copy does not establish this paper's support for the comparison. (LLM, conf=0.75)
Experimental — accuracy not yet measured
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Citations
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Tanaka, T., & Sasaki, M. (1992) · Progress of Theoretical Physics · doi:10.1143/ptp/88.3.503 · Cited by 58
Self-citationQuantized gravitational waves in the Milne universe
Tanaka, T., & Sasaki, M. (1997) · Physical Review D · doi:10.1103/physrevd.55.6061 · Cited by 25
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Cited by
Sorted by citations
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
Primordial perturbations in Einstein-Aether and BPSH theories
Armendariz-Picon, C., Sierra, N. F., & Garriga, J. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/07/010 · Cited by 39
Self-citationQuadratic action of the Hawking-Turok instanton
Lavrelashvili, G. (1998) · Physical Review D · doi:10.1103/physrevd.58.063505 · Cited by 19
Metadata
- Authors
- Garriga, J., Montes, X., Sasaki, M., & Tanaka, T.
- Affiliations
- Universitat Autònoma de Barcelona (ES)
- The University of Osaka (JP)
- Corresponding author
- Garriga, Jaume
- Montes, Xavier
- Sasaki, Misao
- Tanaka, Takahiro
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1998-03
- Volume
- 513
- Issue
- 1-2
- Pages
- 343-374
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2023483259
- Cited by
- 96
- References
- 2
- Citations by year
- 2026: 3 · 2025: 2 · 2024: 3 · 2023: 2 · 2022: 2 · 2021: 2 · 2019: 5 · 2018: 4 · 2017: 1 · 2016: 1 · 2015: 1 · 2014: 6 · 2013: 7 · 2012: 2
- FWCI
- 6.86
- Type
- journal article
- Language
- en
- Update notices
- erratum (1999-06-28)
- 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
- Ministry of Education, Culture, Sports, Science and Technology
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- cosmological perturbations, open universe, Faddeev-Jackiw method, constrained systems, gauge invariance, scalar perturbations, tensor perturbations, Cauchy surfaces, reflection amplitude, quantum cosmology
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