Minimal Kinematics: An All k and n Peek into Trop<sup>+</sup>G(k,n)
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Bibliographic record
Abstract
In this note we present a formula for the Cachazo-Early-Guevara-Mizera (CEGM) generalized biadjoint amplitudes for all k and n on what we call the minimal kinematics. We prove that on the minimal kinematics, the scattering equations on the configuration space of n points on CP k-1 has a unique solution, and that this solution is in the image of a Veronese embedding. The minimal kinematics is an all k generalization of the one recently introduced by Early for k = 2 and uses a choice of cyclic ordering. We conjecture an explicit formula for m (k) n (I, I) which we have checked analytically through n = 10 for all k. The answer is a simple rational function which has only simple poles; the poles have the combinatorial structure of the circulant graph C (1,2,...,k-2) n
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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 | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.001 |
| 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 it