Theoretical Modeling of Weakly Lensed Polarized Radio Sources
Bibliographic record
Abstract
In this paper we present the theoretical basis for the modeling of weakly gravitationally lensed extended sources that are polarized. This technique has been used in the past to constrain the mass profiles of galaxies projected against the jet of the quasar 3C9. Since then, work has been done to improve both the measurement and theoretical modeling of the lensing signal, which manifests itself as an alignment breaking between the morphology and the polarization, parametrized as ηG. To this end, we present the mathematical derivation of the theoretical value of ηG as well as numerical simulations of expected signals in polarized radio jets. We use the radio jet sources 3C9 and 1253+104 as illustrative examples of the measurement and modeling of the ηG signal. For 3C9, we present constraints on the parameters of the two intervening lenses and quantify their confidence intervals. One lens has no measured redshift and in this case, we show the dependence of mass and mass-to-light ratio on assumed redshift. 1 Visiting Astronomer, German-Spanish Astronomical Centre, Calar Alto, operated by the Max-Planck-Institute
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".