Black-hole entropy from quantum geometry
Open accessAbstract
Quantum geometry (the modern loop quantum gravity involving graphs and spin-networks instead of the loops) provides microscopic degrees of freedom that account for black-hole entropy. However, the procedure for state counting used in the literature contains an error and the number of the relevant horizon states is underestimated. In our paper a correct method of counting is presented. Our results lead to a revision of the literature of the subject. It turns out that the contribution of spins greater than 1/2 to the entropy is not negligible. Hence, the value of the Barbero–Immirzi parameter involved in the spectra of all the geometric and physical operators in this theory is different than previously derived. Also, the conjectured relation between quantum geometry and the black-hole quasi-normal modes should be understood again.
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The coefficient of the logarithmic term in the black hole entropy is fixed to -1/2.
“and resolve the controversy (summarized in [17]) about the coefficient of the logarithmic term fixing it to -1 2 .”
From Black-hole entropy in loop quantum gravity (2004) · cites this paper as [17]
The Introduction and Results (p. 3) says that subleading entropy terms were calculated in an accompanying paper, but the equation giving the result is not decoded in our copy. Searches for the logarithmic term and −1/2 found no readable passage stating its coefficient, so our copy cannot verify the claimed value. (LLM, conf=0.74)
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Cites
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · cited 1× · see citing works
“The bulk states, that is elements of H�, on the other hand, are described by Quantum Geometry, and define the quantum area of the horizon [ 6 ,7].”
MethodQuantum theory of geometry: I. Area operators
Ashtekar, A., & Lewandowski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/1a/006 · Cited by 852 · see citing works
Self-citationBlack-hole entropy in loop quantum gravity
Meissner, K. A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/22/015 · Cited by 720 · cited 1× · see citing works
“The issue was raised in works by Krasnov [4] and Rovelli [ 5 ].”
BackgroundQuantum geometry of isolated horizons and black hole entropy
Ashtekar, A., Baez, J. C., & Krasnov, K. (2000) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2000.v4.n1.a1 · Cited by 580 · see citing works
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Research works printed but not linked: 4
- [1][1] Thiemann T 2003 Lectures on Loop Quantum Gravity in Quantum Gravity: From Theory to Experimental Search Lecture Notes in Physics Preprint gr-qc0112038 Thiemann T 2004 Modern Canonical Quantum General Relativity (Cambridge: Cambridge University Press) at press gr-qc/0110034 - · arXiv
- [3][3] Ashtekar A and Lewandowski J 2004 Background Independent Quantum Gravity: A Status Report Class. Quantum Grav. 21 R1-R100 gr-qc/0404018 - · arXiv
- [13][13] Ashtekar A and Krishnan B 2004 Isolated and Dynamical Horizons and Their Applications gr-qc/0407042 Ashtekar A, Beetle C, Dreyer O, Fairhurst S, Krishnan B, Lewandowski J, Wisniewski J 2000 Generic Isolated Horizons and their Applications Phys.Rev.Lett. 85 3564-3567 - · arXiv
- [14][14] Domagala M 2004 Kwantowy operator pola powierzchni oraz entropia czarnej dziury Diploma Thesis, Uniwersytet Warszawski, Warsaw, Poland
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Black-hole entropy in loop quantum gravity
Meissner, K. A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/22/015 · Cited by 720 · see citing works
Bojowald, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-11 · Cited by 723 · see citing works
Loop quantum cosmology of Bianchi type IX models
Wilson-Ewing, E. (2010) · Physical Review D · doi:10.1103/physrevd.82.043508 · Cited by 179 · see citing works
Spin-foams for all loop quantum gravity
Kamiński, W., Kisielowski, M., & Lewandowski, J. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/9/095006 · Cited by 191 · see citing works
Self-citationGeneralized quantum gravity condensates for homogeneous geometries and cosmology
Oriti, D., Pranzetti, D., Ryan, J. P., & Sindoni, L. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/23/235016 · Cited by 48 · see citing works
No invariant perfect qubit codes
Mansuroglu, R., & Sahlmann, H. (2023) · Journal of High Energy Physics · doi:10.1007/jhep02(2023)062 · Cited by 3 · see citing works
- Authors
- Domagala, M., & Lewandowski, J.
- Affiliations
- University of Warsaw (PL)
- Pennsylvania State University (US)
- ORCID
- Lewandowski, Jerzy
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2004-10-29
- Volume
- 21
- Issue
- 22
- Pages
- 5233-5243
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2067931892
- Cited by
- 424
- References
- 4
- Citations by year
- 2026: 15 · 2025: 42 · 2024: 19 · 2023: 14 · 2022: 15 · 2021: 20 · 2020: 10 · 2019: 8 · 2018: 18 · 2017: 6 · 2016: 18 · 2015: 17 · 2014: 22 · 2013: 13 · 2012: 21
- FWCI
- 17.05
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- black hole entropy, loop quantum gravity, spin networks, state counting, Barbero-Immirzi parameter, quantum geometry, black hole quasinormal modes
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