The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Black hole entropy in canonical quantum gravity and superstring theory
Open accessAbstract
In this paper the entropy of an eternal Schwarzschild black hole is studied in the limit of an infinite black hole mass. The problem is addressed from the point of view of both canonical quantum gravity and superstring theory. The entropy per unit area of a free scalar field propagating in a fixed black hole background is shown to be quadratically divergent near the horizon. It is shown that such quantum corrections to the entropy per unit area are equivalent to the quantum corrections to the gravitational coupling. Unlike field theory, superstring theory provides a set of identifiable configurations which give rise to the classical contribution to the entropy per unit area. These configurations can be understood as open superstrings with both ends attached to the horizon. The entropy per unit area is shown to be finite to all orders in superstring perturbation theory. The importance of these conclusions to the resolution of the problem of black hole information loss is reiterated.
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?
The cited source says what the claim attributes to it.
In the citing paper
“In particular, in scenarios of gravity induced due to matter loops [221,222], the Bekenstein-Hawking entropy is solely due to entanglement due to vacuum fluctuations [223][224][225], where the UV-cutoff dependence can be absorbed in a renormalization of Newton's constant [130].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [130]
The check wasn’t confident either way, so it gives no verdict — never disputed.
In the citing paper
“A simple way to resolve this paradox is to invoke the philosophy of black hole complementarity [254,255] which postulates that the violation cannot be observed operationally via a quantum complexity conjecture due to Harlow and Hayden [256]”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [255]
Experimental — accuracy not yet measuredThe check wasn’t confident either way, so it gives no verdict — never disputed.
In the citing paper
“and superluminal communication [10,11,12,13]”
From The generalized second law implies a quantum singularity theorem (2013) · cites this paper as [11]
Experimental — accuracy not yet measuredIn the citing paper
“In addition, the well-known statement that 'a black hole has no hair'-i.e., from a distance all black holes with the same charge and angular momentum look essentially alike - is now known to be not always true 91 -93 .”
From Ultimate physical limits to computation (2000) · cites this paper as [92]
In the citing paper
“Thence, the generalized entropy is UV finite and independent of the UV cutoff [130][131][132].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [130]
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
Notes on black-hole evaporation
Unruh, W. G. (1976) · Physical Review D · doi:10.1103/physrevd.14.870 · Cited by 4,850
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
Srednicki, M. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.666 · Cited by 1,858
On the quantum structure of a black hole
't Hooft, G. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90418-3 · Cited by 1,311
Callan, C. G., Giddings, S. B., Harvey, J. A., & Strominger, A. (1992) · Physical Review D · doi:10.1103/physrevd.45.r1005 · Cited by 1,131
The stretched horizon and black hole complementarity
Susskind, L., Thorlacius, L., & Uglum, J. (1993) · Physical Review D · doi:10.1103/physrevd.48.3743 · Cited by 1,081
Self-citationEvaluation of the one loop string path integral
Polchinski, J. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01210791 · Cited by 587
Some Speculations About Black Hole Entropy in String Theory
Susskind, L. (1998) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789814447232_0007 · Cited by 292
Self-citationBlack hole entropy and the dimensional continuation of the Gauss-Bonnet theorem
Máximo Bañados, A., Teitelboim, C., & Zanelli, J. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.957 · Cited by 244
Some Speculations about Black Hole Entropy in String TheoryPreprint
Susskind, L. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9309145 · Cited by 118
Self-citation
Cited by
Sorted by citations
Microscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · Physics Letters B · doi:10.1016/0370-2693(96)00345-0 · Cited by 3,072
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Microscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · CERN Document Server (European Organization for Nuclear Research) · Cited by 2,109
Aspects of holographic entanglement entropy
Ryu, S., & Takayanagi, T. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/08/045 · Cited by 1,969
Bousso, R. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.825 · Cited by 1,741
Eternal black holes in anti-de Sitter
Maldacena, J. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/04/021 · Cited by 1,555
Generalized gravitational entropy
Lewkowycz, A., & Maldacena, J. (2013) · Journal of High Energy Physics · doi:10.1007/jhep08(2013)090 · Cited by 1,183
Ultimate physical limits to computation
Lloyd, S. (2000) · Nature · doi:10.1038/35023282 · Cited by 1,120
Aspects of Holographic Entanglement EntropyPreprint
Ryu, S., & Takayanagi, T. (2006) · Cited by 1,354
The Unruh effect and its applications
Crispino, L. C. B., Higuchi, A., & Matsas, G. E. A. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.787 · Cited by 1,035
The Thermodynamics of Black Holes
Wald, R. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-6 · Cited by 1,065
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
Engelhardt, N., & Wall, A. C. (2015) · Journal of High Energy Physics · doi:10.1007/jhep01(2015)073 · Cited by 836
OVERDUIN, J. M., & Wesson, P. S. (1997) · Physics Reports · doi:10.1016/s0370-1573(96)00046-4 · Cited by 1,017
Holographic entanglement entropy: an overview
Nishioka, T., Ryu, S., & Tadashi Takayanagi, B. (2009) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504008 · Cited by 917
D-brane approach to black hole quantum mechanics
Callan, C. G., & MALDACENA, J. M. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00225-8 · Cited by 747
Ferrara, S., & Каллош, Р. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.1514 · Cited by 722
Holographic c-theorems in arbitrary dimensions
Myers, R. C., & Sinha, A. (2011) · Journal of High Energy Physics · doi:10.1007/jhep01(2011)125 · Cited by 620
Witten, E. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.045003 · Cited by 567
OVERDUIN, J. M., & Wesson, P. S. (1997) · CERN Document Server (European Organization for Nuclear Research) · Cited by 554
Entropy and temperature of black 3-branes
Gubser, S. S., Klebanov, I. R., & Peet, A. W. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.3915 · Cited by 550
Entanglement Entropy of Black Holes
Solodukhin, S. N. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-8 · Cited by 453
Jerusalem lectures on black holes and quantum information
Harlow, D. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.015002 · Cited by 480
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
Wall, A. C. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/22/225007 · Cited by 545
Iyer, V., & Wald, R. M. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.4430 · Cited by 453
Black holes with unusual topology
Vanzo, L. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.6475 · Cited by 393
The gravity dual of Rényi entropy
Dong, X. (2016) · Nature Communications · doi:10.1038/ncomms12472 · Cited by 379
Bousso, R., Fisher, Z., Leichenauer, S., & Wall, A. C. (2016) · Physical Review D · doi:10.1103/physrevd.93.064044 · Cited by 330
Holographic Entanglement Entropy for General Higher Derivative GravityPreprint
Dong, X. (2016) · Cited by 370
Solitonic strings and BPS saturated dyonic black holes
Mirjam Cvetič, B., & Tseytlin, A. A. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.5619 · Cited by 318
Black hole entropy and entropy of entanglement
Kabat, D. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00443-v · Cited by 307
Conical singularity and quantum corrections to the entropy of a black hole
Solodukhin, S. N. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.51.609 · Cited by 308
Black hole solutions in heterotic string theory on a torus
Sen, A. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00063-x · Cited by 269
Description of the Riemannian geometry in the presence of conical defects
Fursaev, D. V., & Solodukhin, S. N. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.2133 · Cited by 325
Generalized entropy and higher derivative gravity
Camps, J. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)070 · Cited by 200
Conformal description of horizon's states
Solodukhin, S. N. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00398-6 · Cited by 280
Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
Wall, A. C. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.104049 · Cited by 302
Black hole thermodynamics and information loss in two dimensions
Fiola, T. M., Preskill, J., Strominger, A., & Trivedi, S. P. (1994) · Physical Review D · doi:10.1103/physrevd.50.3987 · Cited by 242
Generalized uncertainty principle: Approaches and applications
Tawfik, A. N., & Diab, A. M. (2014) · International Journal of Modern Physics D · doi:10.1142/s0218271814300250 · Cited by 253
Quantum extremal islands made easy. Part I. Entanglement on the brane
Chen, H. Z., Myers, R. C., Neuenfeld, D., Reyes, I. A., & Sandor, J. (2020) · Journal of High Energy Physics · doi:10.1007/jhep10(2020)166 · Cited by 304
Decomposition of entanglement entropy in lattice gauge theory
Donnelly, W. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.085004 · Cited by 256
On the architecture of spacetime geometry
Eugenio Bianchi, A., & Myers, R. C. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/21/214002 · Cited by 272
Black holes and solitons in string theory
Youm, D. (1999) · Physics Reports · doi:10.1016/s0370-1573(99)00037-x · Cited by 260
Linking topological quantum field theory and nonperturbative quantum gravity
Smolin, L. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531251 · Cited by 234
Black hole entropy without brick walls
Démers, J.-G., Lafrance, R., & Myers, R. C. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.2245 · Cited by 245
Carlip, S. (2014) · International Journal of Modern Physics D · doi:10.1142/s0218271814300237 · Cited by 260
Precision counting of small black holes
Atish Dabholkar, A., Frederik Denef, B., Moore, G. W., & Pioline, B. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/10/096 · Cited by 222
Proof of the weak gravity conjecture from black hole entropy
Cheung, C., Liu, J., & Remmen, G. N. (2018) · Journal of High Energy Physics · doi:10.1007/jhep10(2018)004 · Cited by 238
Proof of the quantum null energy condition
Bousso, R., Fisher, Z., Koeller, J., Leichenauer, S., & Wall, A. C. (2016) · Physical Review D · doi:10.1103/physrevd.93.024017 · Cited by 215
Entanglement Entropy of Electromagnetic Edge Modes
Donnelly, W., & Wall, A. C. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.111603 · Cited by 250
DeSitter entropy, quantum entanglement and ADS/CFT
Hawking, S. W., MALDACENA, J. M., & Strominger, A. (2001) · Journal of High Energy Physics · doi:10.1088/1126-6708/2001/05/001 · Cited by 232
Black hole complementarity versus locality
Lowe, D. A., Polchinski, J., Susskind, L., Lárus Thorlacius, A., & Uglum, J. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.6997 · Cited by 210
Self-citationIslands in Schwarzschild black holes
Hashimoto, K., Iizuka, N., & Matsuo, Y. (2020) · Journal of High Energy Physics · doi:10.1007/jhep06(2020)085 · Cited by 198
Entanglement entropy from a holographic viewpoint
Tadashi Takayanagi, B. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/15/153001 · Cited by 237
Renormalization of black hole entropy and of the gravitational coupling constant
Larsen, F. K., & Wilczek, F. A. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00548-x · Cited by 211
Ted Jacobson, A., & Parentani, R. (2003) · Foundations of Physics · doi:10.1023/a:1023785123428 · Cited by 247
AdS bubbles, entropy and closed string tachyons
Nishioka, T., & Takayanagi, T. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/01/090 · Cited by 238
Gravity and the crossed product
Witten, E. (2022) · Journal of High Energy Physics · doi:10.1007/jhep10(2022)008 · Cited by 185
Exact results for the entanglement entropy and the energy radiated by a quark
Lewkowycz, A., & MALDACENA, J. M. (2014) · Journal of High Energy Physics · doi:10.1007/jhep05(2014)025 · Cited by 182
Conformal description of horizon's states
Solodukhin, S. N. (1999) · CERN Document Server (European Organization for Nuclear Research) · Cited by 179
Strings as solitons & black holes as strings
Atish Dabholkar, A., Gauntlett, J. P., Harvey, J. A., & Waldram, D. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00266-0 · Cited by 178
Near extremal black hole entropy as entanglement entropy via AdS 2 / CFT 1
Tatsuo Azeyanagi, A., Nishioka, T., & Tadashi Takayanagi, B. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.064005 · Cited by 195
Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
Ted Jacobson, A. (2006) · Springer eBooks · doi:10.1007/0-387-24992-3_2 · Cited by 227
Vacuum states for AdS2 black holes
Spradlin, M., & Strominger, A. (1999) · Journal of High Energy Physics · doi:10.1088/1126-6708/1999/11/021 · Cited by 172
Stochastic Gravity: Theory and Applications
Hu, B. L., & Verdaguer, E. (2004) · Living Reviews in Relativity · doi:10.12942/lrr-2004-3 · Cited by 190
Black hole solutions in heterotic string theory on a torus
Sen, A. (1994) · CERN Document Server (European Organization for Nuclear Research) · Cited by 169
Alishahiha, M. (2004) · AIP conference proceedings · doi:10.1063/1.1848341 · Cited by 215
Log correction to the black hole area law
Ghosh, A., & Mitra, P. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.027502 · Cited by 165
Stochastic Gravity: Theory and Applications
Hu, B. L., & Verdaguer, E. (2008) · Living Reviews in Relativity · doi:10.12942/lrr-2008-3 · Cited by 197
Kabat, D., & Strassler, M. J. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90515-0 · Cited by 159
A Comment on Entropy and AreaPreprint
Kabat, D., & Strassler, M. J. (1994) · Cited by 157
How does a fundamental string stretch its horizon?
Sen, A. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/05/059 · Cited by 156
On one-loop renormalization of black-hole entropy
Fursaev, D. V., & Solodukhin, S. N. (1996) · Physics Letters B · doi:10.1016/0370-2693(95)01290-7 · Cited by 172
Entanglement entropy from a holographic viewpoint
Takayanagi, T. (2012) · Institutional Repositories DataBase (IRDB) · Cited by 153
Local phase space and edge modes for diffeomorphism-invariant theories
Speranza, A. J. (2018) · Journal of High Energy Physics · doi:10.1007/jhep02(2018)021 · Cited by 147
Geometric entropy and edge modes of the electromagnetic field
Donnelly, W., & Wall, A. C. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.104053 · Cited by 192
Balasubramanian, V., Hořava, P., & Minić, D. (2001) · Journal of High Energy Physics · doi:10.1088/1126-6708/2001/05/043 · Cited by 147
‘‘Nongeometric’’ contribution to the entropy of a black hole due to quantum corrections
Solodukhin, S. N. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.51.618 · Cited by 144
Black hole entropy as entanglement entropy: a holographic derivation
Emparan, R. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/06/012 · Cited by 103
Mechanism of the generation of black hole entropy in Sakharov’s induced gravity
Frolov, V. P., & Fursaev, D. V. (1997) · Physical Review D · doi:10.1103/physrevd.56.2212 · Cited by 85
Edge states in gravity and black hole physics
Balachandran, A. P., Momen, A., & Chandar, L. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00622-2 · Cited by 127
Large-Nbounds on, and compositeness limit of, gauge and gravitational interactions
VENEZIANO, G. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/06/051 · Cited by 135
AdS Bubbles, Entropy and Closed String Tachyons
Nishioka, T., & Takayanagi, T. (2006) · CERN Document Server (European Organization for Nuclear Research) · Cited by 132
Entropy in Dilatonic Black Hole Background
Ghosh, A., & Mitra, P. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.2521 · Cited by 132
Entropies of scalar fields on three dimensional black holes
Ichinose, I., & Satoh, Y. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00197-z · Cited by 128
On the origin of the outgoing black hole modes
Ted Jacobson, A. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.7082 · Cited by 139
Conical geometry and quantum entropy of a charged Kerr black hole
Mann, R. B., & Solodukhin, S. N. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.3932 · Cited by 134
Black hole entropy without brick walls
Xiang, L. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02123-8 · Cited by 121
Anninos, D., Frederik Denef, B., Law, Y. T. A., & Sun, Z. (2022) · Journal of High Energy Physics · doi:10.1007/jhep01(2022)088 · Cited by 164
Mann, R. B., & Solodukhin, S. N. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.3622 · Cited by 122
Black hole horizons and complementarity
Youngjai Kiem, A., Verlinde, H., & Verlinde, E. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.7053 · Cited by 138
Open and closed strings from unstable D-branes
Sen, A. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.106003 · Cited by 114
Very long time scales and black hole thermal equilibrium
Barbón, J. L. F., & Rabinovici, E. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/11/047 · Cited by 113
Statistical origin of black hole entropy in induced gravity
Frolov, V. P., Fursaev, D. V., & Zelnikov, A. I. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(96)00678-5 · Cited by 102
Observations of Hawking radiation: the Page curve and baby universes
Marolf, D. M., & Maxfield, H. (2021) · eScholarship (California Digital Library) · Cited by 109
Observations of Hawking radiation: the Page curve and baby universes
Marolf, D., & Maxfield, H. (2021) · Journal of High Energy Physics · doi:10.1007/jhep04(2021)272 · Cited by 153
One-loop renormalization of black hole entropy due to nonminimally coupled matter
Solodukhin, S. N. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.7046 · Cited by 120
The generalized second law implies a quantum singularity theorem
Wall, A. C. (2013) · Classical and Quantum Gravity · doi:10.1088/0264-9381/30/16/165003 · Cited by 106
Entropy for extremal Reissner-Nordstrom black holes
Ghosh, A., & Mitra, P. (1995) · Physics Letters B · doi:10.1016/0370-2693(95)00922-8 · Cited by 105
Raphael Bousso, A. (2003) · Springer eBooks · doi:10.1007/978-94-010-0211-0_3 · Cited by 131
Entropy of a quantum field in rotating black holes
Lee, M., & Kim, J. K. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.3904 · Cited by 100
Metadata
- Authors
- Susskind, L., & Uglum, J.
- Affiliations
- Stanford University (US)
- ORCID
- Susskind, Leonard
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1994-08-15
- Volume
- 50
- Issue
- 4
- Pages
- 2700-2711
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2174613881
- Cited by
- 754
- References
- 11
- Citations by year
- 2026: 16 · 2025: 38 · 2024: 47 · 2023: 24 · 2022: 30 · 2021: 32 · 2020: 41 · 2019: 15 · 2018: 23 · 2017: 18 · 2016: 23 · 2015: 18 · 2014: 22 · 2013: 13 · 2012: 12
- FWCI
- 32.39
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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 › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- black hole entropy, Schwarzschild black hole, canonical quantum gravity, superstring theory, quadratic divergences, open superstring, black hole information loss
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
