Space for both no-boundary and tunneling quantum states of the Universe
Open accessAbstract
At the minisuperspace level of homogeneous models, the bare probability for a classical universe has a huge peak at small universes for the Hartle-Hawking ``no-boundary'' wave function, in contrast with the suppression at small universes for the ``tunneling'' wave function. If the probability distribution is cut off at the Planck density (say), this suggests that the former quantum state is inconsistent with our observations. For inhomogeneous models in which stochastic inflation can occur, it is known that the idea of including a volume factor in the observational probability distribution can lead to arbitrarily large universes being likely. Here, this idea is shown to be sufficient to save the Hartle-Hawking proposal even at the minisuperspace level (for suitable inflaton potentials) by giving it enough space to be consistent with observations.
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
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
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 · see citing works
The anthropic principle and the structure of the physical world
Carr, B. J., & Rees, M. J. (1979) · Nature · doi:10.1038/278605a0 · Cited by 438 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Entropic Issues in Contemporary Cosmology
COULE, D. H. (2003) · International Journal of Modern Physics D · doi:10.1142/s0218271803003530 · Cited by 6 · see citing works
- Authors
- Page, D. N.
- Affiliations
- University of Alberta (CA)
- Corresponding author
- Page, Don N.
- ORCID
- Page, Don N.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1997-08-15
- Volume
- 56
- Issue
- 4
- Pages
- 2065-2072
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2035619624
- Cited by
- 32
- References
- 2
- Citations by year
- 2021: 1 · 2020: 4 · 2019: 1 · 2018: 1 · 2017: 2 · 2016: 2 · 2015: 1 · 2014: 1 · 2013: 2
- FWCI
- 1.30
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Hartle-Hawking no-boundary proposal, wave function of the universe, minisuperspace cosmology, inhomogeneous cosmology, stochastic inflation, volume factor, inflaton potential, early universe cosmology
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
