The fractal dimension of the inflationary universe
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
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 ultimate state of the universe is a fractal distribution of inflating and post-inflating regions, in which our local Big Bang is not a particularly unique event.
“the ultimate state of the universe is a fractal distribution of inflating and post-inflating regions [21, 22, 38, 39], in which our local Big Bang is not a particularly unique event.”
From Spontaneous inflation and the origin of the arrow of time (2004) · cites this paper as [38]
Cited by
Sorted by citations
Predictions from Quantum Cosmology
Vilenkin, A. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.846 · Cited by 368 · see citing works
Self-citationEternal inflation and the initial singularity
Borde, A., & Vilenkin, A. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3305 · Cited by 356 · see citing works
Self-citationOpen and closed universes, initial singularities, and inflation
Borde, A. (1994) · Physical Review D · doi:10.1103/physrevd.50.3692 · Cited by 175 · see citing works
Garriga, J., & Vilenkin, A. (1998) · Physical Review D · doi:10.1103/physrevd.57.2230 · Cited by 154 · see citing works
Self-citationSpontaneous inflation and the origin of the arrow of time
Carroll, S. M., & Chen, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0410270 · Cited by 135 · see citing works
- Authors
- Aryal, M., & Vilenkin, A.
- Affiliations
- Tufts University (US)
- ORCID
- Vilenkin, Alexander
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1987-12
- Volume
- 199
- Issue
- 3
- Pages
- 351-357
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2247650693
- Cited by
- 102
- References
- 0
- Citations by year
- 2026: 4 · 2024: 2 · 2023: 5 · 2022: 2 · 2021: 2 · 2020: 4 · 2019: 4 · 2018: 1 · 2017: 2 · 2016: 1 · 2014: 1 · 2013: 2 · 2012: 2
- FWCI
- 4.53
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- fractal dimension, inflationary universe, eternal inflation, self-similarity, exponential volume growth
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.
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