The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Tunneling wave function of the universe
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The Hawking-Turok instanton can be obtained as a 4D section of a non-singular instanton in 5 dimensions.
“It has been shown in Refs.[43] and[44] that the Hawking-Turok instanton can be obtained as a 4D section of a non-singular instanton in 5 dimensions.”
From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [43]
The Introduction and §3.1 discuss tunneling wave functions and four-dimensional de Sitter paths, but neither addresses the Hawking–Turok instanton as a section of a nonsingular five-dimensional instanton. Searches for “Hawking-Turok” and the four-/five-dimensional instanton description found no passage supporting that claim. (LLM, conf=0.76)
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Citations
Cites
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Creation of universes from nothing
Vilenkin, A. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90866-8 · Cited by 841
Self-citationInflationary Spacetimes Are Incomplete in Past Directions
Borde, A., Guth, A. H., & Vilenkin, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.151301 · Cited by 582
Self-citation
Flagged first, then by citations
Research works printed but not linked: 24
- 10.1007/BF02790571 · DOI · Paper page
- 10.1016/0370-2693(84)90088-1 · DOI · Paper page
- 10.1103/PhysRevD.30.509 · DOI · Paper page
- Y. B. Zeldovich, 1984, Sov. Astron. Lett., 10, 135
- 10.1103/PhysRev.160.1113 · DOI · Paper page
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- 10.1103/PhysRevD.42.1931 · DOI
- 10.1103/PhysRevLett.119.171301 · DOI · Paper page
- 10.1103/PhysRevD.96.043505 · DOI · Paper page
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- 10.1103/PhysRevD.97.023509 · DOI · Paper page
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- 10.1016/0550-3213(86)90073-8 · DOI
- S. Wada, 1987, Nucl. Phys., B284, 747
- 10.1103/PhysRevD.37.898 · DOI
- 10.1103/PhysRevD.68.023521 · DOI · Paper page
- 10.1103/PhysRevD.28.297 · DOI
- 10.1016/0550-3213(96)00438-5 · DOI
- 10.1016/0370-2693(89)91047-2 · DOI
Cited by
Sorted by citations
Two dimensional nearly de Sitter gravity
Maldacena, J., Turiaci, G. J., & Yang, Z. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)139 · Cited by 190
Weyl Curvature Hypothesis in Light of Quantum Backreaction at Cosmological Singularities or Bounces
Hu, B.-L. (2021) · Universe · doi:10.3390/universe7110424 · Cited by 8
On Quantum Creation of a Toroidal Universe
Guth, A. H., & Vilenkin, A. (2026) · Fundamental Theories of Physics · doi:10.1007/978-3-032-15703-4_8 · Cited by 4
Self-citation
Metadata
- Authors
- Vilenkin, A., & Yamada, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2018-09-12
- Volume
- 98
- Issue
- 6
- ISSN
- 2470-0010
- 2470-0029
- Cited by
- 70
- References
- 3
- Language
- en
- Licence
- Funders
- National Science Foundation
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