The DOI matches its Crossref record.
Proof of the Positive-Action Conjecture in Quantum Relativity
Abstract
We extend our previous method of proving the positive-mass conjecture to prove the positive-action conjecture of Hawking for asymptotically Euclidean metric. This result is crucial in proving the path integral convergent in the Euclidean quantum gravity theory.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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 the citing paper
“A Kaluza-Klein versions of that system has been previously described [15] by Emparan and Reall.”
From Bubbles unbound: bubbles of nothing without Kaluza-Klein (2007) · cites this paper as [15]
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 5
- S. W. Hawking, 1978, Phys. Rev. D, 18, 1747, 10.1103/PhysRevD.18.1747 · DOI
- R. Schoen, 1978, Proc. Nat. Acad. Sci. U. S. A., 75, 2567, 10.1073/pnas.75.6.2567 · DOI
- R. Schoen, Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-negative Scalar Curvature, 10.2307/1971247 · DOI
- R. Schoen, On the Proof of the Positive Energy Conjecture in General Relativity
- R. Arnowitt, 1960, Phys. Rev., 118, 1100, 10.1103/PhysRev.118.1100 · DOI
Cited by
Stability of gravity with a cosmological constant
Abbott, L. F., & Deser, S. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90049-9 · Cited by 1,075
Instability of the Kaluza-Klein vacuum
Witten, E. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90007-4 · Cited by 595
Thermal stress tensors in static Einstein spaces
Page, D. N. (1982) · Physical Review D · doi:10.1103/physrevd.25.1499 · Cited by 291
Bubbles unbound: bubbles of nothing without Kaluza-Klein
Copsey, K. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/12/007 · Cited by 9
Metadata
- Authors
- Schoen, R. M., & Yau, S.-T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1979-02-26
- Volume
- 42
- Issue
- 9
- Pages
- 547-548
- ISSN
- 0031-9007
- Cited by
- 93
- References
- 0
- Language
- en
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Proof of the Positive-Action Conjecture in Quantum Relativity. https://app.cochat.ai/papers/10.1103/physrevlett.42.547
- The paper
- Schoen, R. M., & Yau, S.-T. (1979). Proof of the Positive-Action Conjecture in Quantum Relativity. Physical Review Letters. https://doi.org/10.1103/physrevlett.42.547
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.