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Cited by 500

The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.

Quantum creation of universes

Vilenkin, Alexander·1984·Physical Review D
DOI 10.1103/physrevd.30.509
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Abstract

A cosmological wave function describing the tunneling of the Universe from "nothing" into a de Sitter space is found in a simple minisuperspace model. The tunneling probability is proportional to $\mathrm{exp}(\frac{\ensuremath{-}3}{8{G}^{2}{\ensuremath{\rho}}_{v}})$, where ${\ensuremath{\rho}}_{v}$ is the vacuum energy density at an extremum of the effective potential $V(\ensuremath{\varphi})$. The tunneling is most probable to the highest maximum of $V(\ensuremath{\varphi})$.

Overview

Integrity signals

Registry

Crossref · 10.1103/physrevd.30.509

Cites

7 of 7 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

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?

  • In this Kaluza-Klein case, space-time appears to be four-dimensional although at a more fundamental level it is of dimension n.

    “In this case, space-time appears to be four-dimensional although at a more fundamental level it is of dimension n”

    From Dimensionality, topology, energy, the cosmological constant and signature change (1996) · cites this paper as [38]

  • Quantum cosmology suggests that a spatially compact universe can spontaneously nucleate out of 'nothing'.

    “Perhaps the most promising approach to this problem is based on quantum cosmology, which suggests that a spatially compact universe can spontaneously nucleate out of 'nothing', where 'nothing' refers to a state with no classical space, time, or matter [2][3][4][5][6][7].”

    From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [6]

  • In the eternal inflation scenario, the problem of initial conditions may become irrelevant.

    “One should note, however, that in the eternal inflation scenario [34,35] the problem of initial conditions may become irrelevant.”

    From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [34]

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 13

  1. E. P. Tryon, 1973, Nature (London), 246, 396, 10.1038/246396a0 · DOI
  2. P. I. Fomin, 1975, Dokl. Akad. Nauk Ukr. SSR, 9A, 831
  3. M. G. Albrow, 1973, Nature (London), 241, 56
  4. M. B. Voloshin, 1974, Yad. Fiz., 20, 1229
  5. S. Coleman, 1977, Phys. Rev. D, 15, 2929, 10.1103/PhysRevD.15.2929 · DOI · Paper page
  6. G. W. Gibbons, 1977, Phys. Rev. D, 15, 2738, 10.1103/PhysRevD.15.2738 · DOI · Paper page
  7. J. A. Wheeler, 1968, Battelle Rencontres
  8. B. S. DeWitt, 1967, Phys. Rev., 160, 1113, 10.1103/PhysRev.160.1113 · DOI · Paper page
  9. D. Bohm, 1952, Quantum Theory
  10. I. G. Moss, 1984, Phys. Rev. D, 29, 1067, 10.1103/PhysRevD.29.1067 · DOI
  11. C. Teitelboim, 1982, Phys. Rev. D, 25, 3159, 10.1103/PhysRevD.25.3159 · DOI
  12. D. J. Gross, 1982, Phys. Rev. D, 25, 330, 10.1103/PhysRevD.25.330 · DOI
  13. B. R. Holstein, 1982, Am. J. Phys., 50, 833, 10.1119/1.12751 · DOI

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Metadata

Authors
Vilenkin, A.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1984-07-15
Volume
30
Issue
2
Pages
509-511
ISSN
0556-2821
DOI
10.1103/physrevd.30.509
Cited by
500
References
7
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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