<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-Dimensional Black Hole Entropy Spectrum from Quasinormal Modes
Why is this work in the frame?
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Full frame distilled prediction
Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
- Candidate categories
- Meta-epidemiology (narrow), Insufficient payload (model declined to judge)
- Consensus categories
- none
- Domain
- Candidate signal: noneConsensus signal: none
- Study design
- Candidate signal: Theoretical or conceptualConsensus signal: none
- Genre
- Candidate signal: EmpiricalConsensus signal: Empirical
- Teacher disagreement score
- 0.877
- Threshold uncertainty score
- 1.000
- Validation status
machine_predicted_unvalidated·codex-gemma-dda1882f352a
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.002 |
Machine scores (provisional)
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
- Teacher spread
- 0.228 · how far apart the two teachers sit on this one work
- Validation status
score_only:v0-immature-baseline· verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it
Abstract
Starting from recent observations about quasinormal modes, we use semiclassical arguments to derive the Bekenstein-Hawking entropy spectrum for $d$-dimensional spherically symmetric black holes. We find that, as first suggested by Bekenstein, the entropy spectrum is equally spaced: ${S}_{\mathrm{B}\mathrm{H}}=k\mathrm{ln}({m}_{0})n$, where ${m}_{0}$ is a fixed integer that must be derived from the microscopic theory. As shown in O. Dreyer, gr-qc/0211076, 4D loop quantum gravity yields precisely such a spectrum with ${m}_{0}=3$ providing the Immirzi parameter is chosen appropriately. For $d$-dimensional black holes of radius ${R}_{H}(M)$, our analysis predicts the existence of a unique quasinormal mode frequency in the large damping limit ${\ensuremath{\omega}}^{(d)}(M)={\ensuremath{\alpha}}^{(d)}c/{R}_{H}(M)$ with coefficient ${\ensuremath{\alpha}}^{(d)}=\frac{(d\ensuremath{-}3)}{4\ensuremath{\pi}}\mathrm{ln}({m}_{0})$, where ${m}_{0}$ is an integer.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
The record
- Venue
- Physical Review Letters
- Topic
- Black Holes and Theoretical Physics
- Field
- Physics and Astronomy
- Canadian institutions
- University of WinnipegWinnipeg Institute for Theoretical Physics
- Funders
- not available
- Keywords
- PhysicsSemiclassical physicsMathematical physicsSpectrum (functional analysis)Black hole (networking)RADIUSOmegaInteger (computer science)Entropy (arrow of time)Quantum mechanicsCombinatoricsQuantumMathematics
- Has abstract in OpenAlex
- yes