A new approach in the derivation of the Larmor formula for radiation loss from an accelerating charged particle
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Bibliographic record
Abstract
Normally, the Larmor formula for the rate of energy loss from an accelerating charged particle (e.g., an electron) is derived by considering the energy due to the acceleration field being transmitted to infinity without attenuation. This method does not give any insight into the actual physical phenomenon occurring at the particle itself that is responsible for the loss of energy. To circumvent this problem, we develop a different approach in which the Larmor formula is derived by considering the work done against self-forces created within the particle when it is accelerated. We carry out this analysis in three dimensions so that it is easy to visualize the events happening inside the particle during the acceleration that result in loss of energy. Thus, our method clearly demonstrates the mechanism of energy loss from an accelerated charged particle.
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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