Supernumerary bows: interference theory with the zero wavefront as a basic element
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
This study relates to the prediction of the angular positions of supernumerary screenbows and rainbows, in the case of a refractive sphere illuminated by a point source placed at a distance of h from its center; for h→∞, the incident light beam becomes parallel. The screenbow appears on a spherical screen whose center is that of the sphere and which intercepts the tangential caustic surface. The rainbow, specific to the water drop, but here generalized to any refractive sphere, corresponds to a screenbow produced on a "screen" placed at an infinite distance. This paper uses exact graphical representations of the wavefronts associated with rainbows resulting from k internal reflections to illustrate how the angular positions of the supernumerary rainbows and the positions of the corresponding supernumerary bows on screens are to be calculated. All considerations are made within the framework of geometrical optics being, on the one hand, the limit of the electromagnetic theory as the wavelength goes to 0, and, on the other hand, complemented by the Gouy phase shift theory.
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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 | 0.000 | 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 it