FDTD Computational Analysis of Heaviside Faster-Than-Light Problem
Bibliographic record
Abstract
This paper provides a numerical analysis using the finite-difference time-domain method for an electromagnetic source moving at speeds faster than light, comparing the results with Heaviside's analytical study based on Maxwell's equations. Detailed descriptions of the theoretical and numerical methods are included. Within the Lorentz aether theory framework, if the hypothesis of length contraction is ignored, the speed of light can theoretically be surpassed. The field of a moving plane wave source does not increase with speed if the source impedance is low, addressing the issue of unbounded field growth in Heaviside's work. The full-wave results show that the wave disturbances are left behind the source and they are confined within a cone, such as electromagnetic shock waves. The simulated cone angle matches Heaviside's analysis. This work is applicable for the numerical study of faster-thanlight experiments reported in the literature.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.005 |
| 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) | 0.003 | 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".