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Quantum fluctuations and CMB anisotropies in one-bubble open inflation models
Open accessAbstract
We first develop a method to calculate a complete set of mode functions that describe the quantum fluctuations generated in one-bubble open inflation models. We consider two classes of models. One is a single scalar field model proposed by Bucher, Goldhaber, and Turok and by us as an example of the open inflation scenario, and the other is a two-field model such as the "supernatural" inflation proposed by Linde and Mezhlumian. In both cases we assume the difference in the vacuum energy density between inside and outside the bubble is negligible. There are two kinds of mode functions. One kind has the usual continuous spectrum and the other has a discrete spectrum with characteristic wavelengths exceeding the spatial curvature scale. The latter can be further divided into two classes in terms of its origin. One is called the de Sitter supercurvature mode, which arises due to the global spacetime structure of de Sitter space, and the other is due to fluctuations of the bubble wall. We calculate the spectrum of quantum fluctuations in these models and evaluate the resulting large angular scale CMB anisotropies. We find there are ranges of model parameters that are consistent with observed CMB anisotropies.
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In 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 [68]
The paper’s Section IV compares CMB anisotropy spectra from open-inflation models, and its Conclusion says those models predict practically the same CMB power spectrum at certain scales. Neither passage addresses whether comoving probability, causal patch, and scale-factor cutoff measures give similar predictions. Searches for those measures and for a comparison of measure predictions found no relevant passage in our copy; page numbers were unavailable. (LLM, conf=0.76)
Experimental — accuracy not yet measuredThe 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 [68]
The Introduction discusses an open-universe inflation scenario, and the Conclusion discusses its predicted CMB anisotropies; neither addresses how prior and anthropic effects distribute observers. Searches for observers, anthropic effects, cosmic variance, and a ten-percent probability of observing curvature near 10^-5 found no supporting passage. The roughly 10% figure in Section III refers to possible calculation errors, not an observation probability. (LLM, conf=0.75)
Experimental — accuracy not yet measured
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Cited by
Sorted by citations
Holographic framework for eternal inflation
Freivogel, B., Sekino, Y., Susskind, L., & Yeh, C.-P. (2006) · Physical Review D · doi:10.1103/physrevd.74.086003 · Cited by 117
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
Quantized gravitational waves in the Milne universe
Tanaka, T., & Sasaki, M. (1997) · Physical Review D · doi:10.1103/physrevd.55.6061 · Cited by 25
Self-citation
Metadata
- Authors
- Yamamoto, K., Sasaki, M., & Tanaka, T.
- Affiliations
- Hiroshima University (JP)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1996-10-15
- Volume
- 54
- Issue
- 8
- Pages
- 5031-5048
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2116191823
- Cited by
- 68
- References
- 4
- Citations by year
- 2025: 1 · 2024: 2 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 2 · 2018: 2 · 2016: 1 · 2015: 4 · 2014: 5 · 2013: 5 · 2012: 3
- FWCI
- 7.84
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- Institutional Repositories DataBase (IRDB) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Hiroshima University Institutional Repository (submittedVersion, other-oa)
- Hiroshima University Acedemic Information Repository (Hiroshima University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Culture, Sports, Science and Technology
- Japan Society for the Promotion of Science (07304033)
- 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
- open inflation, quantum fluctuations, cosmic microwave background anisotropies, mode functions, two-field inflation, scalar field inflation, discrete spectrum, angular power spectrum, spatial curvature
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