The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Tunneling wave function of the universe. II. The backreaction problem
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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 [44]
The Introduction discusses the tunneling wave function, and the Summary and Discussion describes four-dimensional saddle points; neither addresses the Hawking–Turok instanton as a section of a nonsingular five-dimensional instanton. Searches for “Hawking-Turok instanton” and “non-singular instanton in 5 dimensions 4D section” found no passage establishing the claim. The indexed passages provide no page numbers. (LLM, conf=0.75)
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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-citation
Flagged first, then by citations
Research works printed but not linked: 26
- J. B. Hartle, 1987, Adv. Ser. Astrophys. Cosmol., 3, 174
- 10.1103/PhysRevD.33.3560 · DOI · Paper page
- 10.1103/PhysRevD.37.888 · DOI · Paper page
- 10.1103/PhysRevD.50.2581 · DOI
- A. D. Linde, 1984, Lett. Nuovo Cimento, 39, 401, 10.1007/BF02790571 · DOI · Paper page
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- Ya. B. Zeldovich, 1984, Sov. Astron. Lett., 10, 135
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- J. Feldbrugge, 2018, Universe, 4, 100, 10.3390/universe4100100 · DOI · Paper page
- 10.1103/PhysRevD.96.043505 · DOI · Paper page
- 10.1103/PhysRevLett.121.081302 · DOI · Paper page
- 10.1103/PhysRevD.98.066003 · DOI · Paper page
- 10.1103/PhysRevD.39.2206 · DOI
- 10.1103/PhysRevD.37.898 · DOI
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- 10.1103/PhysRevD.31.1777 · DOI · Paper page
- J. J. Halliwell, 1987, Adv. Ser. Astrophys. Cosmol., 3, 277
- 10.1016/0550-3213(86)90073-8 · DOI
- S. Wada, 1987, Nucl. Phys., B284, 747
- 10.1103/PhysRevD.68.023520 · DOI
- S. Coleman, 1985, Aspects of Symmetry, 10.1017/CBO9780511565045 · DOI
- 10.1103/PhysRevD.42.1931 · DOI
- 10.1016/0370-2693(87)91488-2 · DOI
- N. D. Birrell, 1984, Quantum Fields in Curved Space
Cited by
Sorted by citations
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
- 2019-03-26
- Volume
- 99
- Issue
- 6
- ISSN
- 2470-0010
- 2470-0029
- Cited by
- 40
- References
- 2
- Language
- en
- Funders
- National Science Foundation
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