Cited by 1,311Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesRelativity and Gravitational Theory

The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.

On the quantum structure of a black hole

Open access
't Hooft, Gerard·1985·Nuclear Physics B

Overview

Integrity signals

Registry

Crossref · 10.1016/0550-3213(85)90418-3

Cites

17 of 17 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

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?

  • The thermal partition function Z(β) = exp(-I(X)) is interpreted as the canonical free energy and determines thermodynamic functions, including the correct black-hole entropy.

    “The thermal partition function is given by Z(β) = exp(-I(X)), where I(X) is the euclidean effective action evaluated on X.As a function of β, it is interpreted as the canonical free energy, and determines all thermodynamic functions, including the correct black-hole entropy [17]:”

    From Very long time scales and black hole thermal equilibrium (2003) · cites this paper as [17]

  • The special topology guarantees the emergence of a classical contribution to the entropy.

    “This special topology guarantees the emergence of a classical contribution to the entropy [17].”

    From Very long time scales and black hole thermal equilibrium (2003) · cites this paper as [17]

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 2

  1. Bekenstein, 1972, Non existence of baryon number for static black holes, Phys. Rev., D5, 2403
  2. Dray, 1984, Matter at the horizon of the Schwarzschild black hole, or A comment on the Schwarzschild black hole, Utrecht preprint

Cited by

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Metadata

Authors
't Hooft, G.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1985-01
Volume
256
Pages
727-745
ISSN
0550-3213 (ISSN-L)
OpenAlex
W2043483422
Cited by
1,311
References
17
Citations by year
2026: 24 · 2025: 48 · 2024: 54 · 2023: 48 · 2022: 33 · 2021: 36 · 2020: 39 · 2019: 31 · 2018: 32 · 2017: 44 · 2016: 56 · 2015: 30 · 2014: 44 · 2013: 43 · 2012: 38
FWCI
4.00
Type
journal article
Language
en
Open access
Locations
  • Nuclear Physics B (publishedVersion)
  • Utrecht University Repository (Utrecht University) (submittedVersion, other-oa)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
black holes, general coordinate invariance, general relativity, quantum gravity, black hole thermodynamics

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.

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