The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Lorentzian quantum cosmology
Overview
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
Verification
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.
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?
Zeldovich and Starobinsky state that for massless conformally coupled fields in a toroidal universe described by the metric (57) with the stated identifications, the Casimir contribution to the energy-momentum tensor has the form T^(C)μν = -(C/a^4) diag(1, -1/3, -1/3, -1/3).
“Zeldovich and Starobinsky (ZS), citing Refs.[12,[35][36][37][38], state that for massless conformally coupled fields in a toroidal universe described by the metric (57) with the stated identifications, the Casimir contribution to the energymomentum tensor has the form”
From On Quantum Creation of a Toroidal Universe (2026) · cites this paper as [36]
The Introduction discusses a closed-universe model and Lorentzian path integrals, not Casimir energy in a toroidal universe. Searches for Zeldovich and Starobinsky, conformally coupled fields, and the stated energy-momentum tensor found no passage addressing the claim in our copy. (LLM, conf=0.76)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Birth of inflationary universes
Vilenkin, A. (1983) · Physical Review D · doi:10.1103/physrevd.27.2848 · Cited by 998
Creation of universes from nothing
Vilenkin, A. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90866-8 · Cited by 841
Flagged first, then by citations
Research works printed but not linked: 33
- S. W. Hawking, 1982, Pontif. Acad. Sci. Scr. Varia, 48, 563
- 10.1016/0550-3213(84)90093-2 · DOI
- 10.1103/PhysRevD.77.123537 · DOI
- 10.1103/PhysRevD.30.509 · DOI · Paper page
- 10.1103/PhysRevD.33.3560 · DOI · Paper page
- 10.1016/0375-9601(77)90244-4 · DOI
- 10.1016/0550-3213(78)90161-X · DOI · Paper page
- 10.1103/PhysRevD.39.2206 · DOI
- 10.1103/PhysRevD.41.1815 · DOI
- 10.1103/PhysRevD.43.1170 · DOI
- 10.1088/1126-6708/2004/07/073 · DOI
- 10.1088/1126-6708/2005/04/005 · DOI
- 10.1103/PhysRevD.81.021301 · DOI
- 10.1007/BF02790571 · DOI · Paper page
- 10.1142/S0217751X9000163X · DOI
- S. Das, 1991, Modern quantum field theory. Proceedings, International Colloquium, 10.1142/1085 · DOI
- 10.1103/PhysRevD.42.1931 · DOI
- 10.1103/PhysRevD.50.2581 · DOI
- E. Arnold, 2012, Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals, 10.1007/978-0-8176-8343-6 · DOI
- 10.1090/amsip/050/19 · DOI
- M. Cristoforetti, Proc. Sci., 2014, 197
- 10.1016/0370-2693(77)90553-6 · DOI
- 10.1103/PhysRevD.25.3159 · DOI
- 10.1103/PhysRevD.28.297 · DOI
- 10.1103/PhysRevD.38.2468 · DOI
- 10.1103/PhysRevLett.50.705 · DOI
- 10.1103/PhysRevD.91.083525 · DOI
- C. Grosche, 1998, Handbook of Feynman Path Integrals, 10.1007/BFb0109520 · DOI
- 10.1103/PhysRevLett.117.021301 · DOI
- 10.1016/j.physletb.2015.01.028 · DOI
- 10.1088/1475-7516/2014/12/023 · DOI
- 10.1103/PhysRevD.43.2572 · DOI
- 10.1103/PhysRevD.86.083542 · DOI
Cited by
Sorted by citations
Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology
Hebecker, A., Mikhail, T., & Soler, P. (2018) · Frontiers in Astronomy and Space Sciences · doi:10.3389/fspas.2018.00035 · Cited by 136
Bonanno, A., Denz, T., Pawlowski, J. M., & Reichert, M. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.1.001 · Cited by 111
Lorentzian Quantum Gravity and the Graviton Spectral Function
Fehre, J., Litim, D. F., Pawlowski, J. M., & Reichert, M. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.081501 · Cited by 82
Carlip, S. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/acceb4 · Cited by 41
Suppression of spacetime singularities in quantum gravity
Borissova, J. N. (2024) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ad46c0 · Cited by 14
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
Metadata
- Authors
- Feldbrugge, J., Lehners, J.-L., & Turok, N.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2017-05-16
- Volume
- 95
- Issue
- 10
- ISSN
- 2470-0010
- 2470-0029
- Cited by
- 192
- References
- 3
- Language
- en
- Funders
- Government of Canada
- Province of Ontario
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