Bibliographic record
Abstract
We construct solutions to the Einstein vacuum equations in polarised translational symmetry in 3 + 1 dimensions which have H1 energy concentrated in an arbitrarily small region around a two-dimensional null plane and large H2 initial data. Specifically, there is a parameter k and coordinates s, x, v, y such that the null plane is given by x = k-1/2/2, v = T√2 - k-1/2 for some T independent of k, the H1 energy of the solution is concentrated on the region [0, T'] × [0, k-1/2] × [T√2 - k-1, T√2] × R1, and the H2 norm of the initial data is bounded below by a multiple of k3/4. The time T' has a lower bound independent of k. This result relies heavily on a new existence theorem for the Einstein vacuum equations with characteristic initial data which is large in H2. This result is proved using parabolically scaled coordinates in a null geodesic gauge.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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 source (direct Gemma or distilled Codex), 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".