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Singular instantons and the creation of open universes
Abstract
Singular instantons of the type introduced by Hawking and Turok lead to unacceptable physical consequences and cannot, therefore, be used to describe the creation of open universes. Electronic address:
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In Ref. [33], the authors restated the past-completeness condition as the mere requirement that the average value of H along any finite segment of the geodesic be strictly positive, which leads to a false statement for which they constructed counter-examples.
“In Ref. [33], however, the authors restated this condition (see Theorem 1 of that paper) as the mere requirement that the average value of H along any finite segment of the geodesic has to be strictly positive, which leads to a false statement to which they constructed counter-examples.”
From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [33]
The criticisms of the theorem in Ref. [33] were based on a misunderstanding of the theorem.
“The theorem proven in Ref. [1] was recently disputed by Ref. [33], but those criticisms were based on a misunderstanding of the theorem.”
From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [33]
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Research works printed but not linked: 1
- G. W. Gibbons, 1977, Phys. Rev. D, 15, 2752, 10.1103/PhysRevD.15.2752 · DOI · Paper page
Cited by
Sorted by citations
Quadratic action of the Hawking-Turok instanton
Lavrelashvili, G. (1998) · Physical Review D · doi:10.1103/physrevd.58.063505 · Cited by 19
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
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Metadata
- Authors
- Vilenkin, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1998-06-15
- Volume
- 57
- Issue
- 12
- Pages
- R7069-R7070
- ISSN
- 0556-2821
- 1089-4918
- Cited by
- 46
- References
- 0
- Language
- en
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