Bibliographic record
Abstract
Let G be a compact Lie group.Using suitable normalization conventions, we show that the evaluation of G x G-symmetric spin networks is non-negative whenever the edges are labeled by representations of the form V ® V* where V is a representation of G, and the inter twiners are generalizations of the Barrett-Crane intertwiner.This includes in particular the relativistic spin networks with symmetry group Spm(4) or 50(4) on a large class of graphs, not restricted to the graph underlying the lOj-symbol.We also present a counterexample, using the finite group 53, to the stronger conjecture that all spin network evaluations are non-negative as long as they can be written using only group integrations and index contractions.This counterexample applies in particular to the product of five Gj-symbols which appears in the spin foam model of the Ss-symmetric .BF-theory on the two-complex dual to a triangulation of the sphere 5 3 using five tetrahedra.We show that this product is negative real for a particular assignment of representations to the edges.
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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 | 0.005 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.008 | 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".