Bibliographic record
Abstract
We construct explicitly a (12g − 12)-dimensional space P of unconstrained and \nindependent initial data for ’t Hooft’s polygon model of (2+1) gravity for vacuum \nspacetimes with compact genus-g spacelike slices, for any g ≥ 2. Our method relies \non interpreting the boost parameters of the gluing data between flat Minkowskian \npatches as the lengths of certain geodesic curves of an associated smooth Riemann \nsurface of the same genus. The appearance of an initial big-bang or a final big-crunch \nsingularity (but never both) is verified for all configurations. Points in P correspond \nto spacetimes which admit a one-polygon tessellation, and we conjecture that P is \nalready the complete physical phase space of the polygon model. Our results open \nthe way for numerical investigations of pure (2+1) gravity.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. 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.
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 | 0.000 |
| 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 | 0.000 |
Machine scores (provisional)
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.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".