Electromagnetic vector potentials and the scalarization of sources in a nonhomogeneous medium
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Bibliographic record
Abstract
Electromagnetic source equivalence is considered for the case of an isotropic nonhomogeneous medium. Equivalent transformations of the transversally oriented (with respect to a chosen axis) current sources into longitudinally oriented sources are derived. They allow the reduction of any given distribution of arbitrarily oriented sources to an equivalent distribution of single-component parallel electric and magnetic sources. The technique is referred to as source scalarization; and, together with a recently developed vector potential field representation in an isotropic, nonhomogeneous, lossy medium, which may contain sources of arbitrary orientation, it is applied to produce a complete description of the field in terms of two scalar wave potentials. The proposed source scalarization technique is illustrated by a simple numerical example: the radiation of an electromagnetic pulse by an asymmetrical loop of magnetic currents.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| 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 it