Le système d'Einstein-Dirac d'un univers homogène et isotrope
Bibliographic record
Abstract
Article [8] is first placed in its historical context and the points of interestsof this article are mentioned. It follows from them a deep study in which thesteps described in this article are followed, with occasional references to otherarticles (of the same authors or not). The way the Einstein-Dirac system isobtained is described. Then, results given by [9] on the separation of the Diracequation on the three-sphere and detailed in appendix are used. These resultsalong with the classical expression for the energy-momentum tensor, for whichthe vanishing of the divergence is proved, allow the reducing of the Einstein-Dirac system to a system of coupled ODE with a normalization condition.To study this system, the Bloch formalism is briefly introduced. It is thenused to simplify the study and the resolution of this system. The resultingsystem's solutions are taken from [8] and analysed in an essentially qualitativeway. The approximate solution determined in [7] is then described and usedto find an approximate lower bound on the probability that the Big-Bang isavoided.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.002 | 0.003 |
| Science and technology studies | 0.005 | 0.007 |
| Scholarly communication | 0.005 | 0.003 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.016 | 0.002 |
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".