Properties of a transverse damping system, calculated by a simple matrix formalism
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Bibliographic record
Abstract
In a synchrotron, proton beams with injection steering errors perform coherent betatron oscillations, possibly of large amplitude. The oscillations may be damped by using a system of a beam position monitor and a variable, fast kicker combined in a feedback loop to form a 'transverse damper'. The system of ring, beam and damper can be modeled by iteration of a matrix mapping once per turn. This paper reports the calculation of damping rates, and coherent tune shifts by analytic solution of the recursions. Two cases are treated: (i) kick proportional to beam displacement; and (ii) 'bang-bang' damping in which, above a certain threshold, the kick depends only on the sign (+/-) of the displacement. We demonstrate (under certain conditions) that the 'bang-bang' scheme provides a linear damping of the amplitude and no tune shift, and (for the same peak power) is faster than the conventional proportional damper which produces an exponential damping with time.
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| 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)
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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