Theoretical and experimental basis for the super dielectric model of dielectric materials
Bibliographic record
Abstract
Two theories of the fields generated by charges on parallel plate capacitors, the standard model (SM) found in virtually all text books and the recently proposed super dielectric material-theory (SDM-Theory), are described, and contrasted, in terms of theory and experimentally tested predictions. Only the SDM-Theory model is found to be consistent with thermodynamics, basic field theory, and experimental results. According to the SM, dielectrics in the volume between the electrodes of a parallel plate capacitor store the energy in a capacitor in the form of greatly, relative to the no dielectric case, increased electric field strength. This model is shown to be inconsistent with path independent changes in state property (e.g., voltage), and predicts, incorrectly, that dielectric material outside the volume between the electrodes will have no effect on any measurable properties such as capacitance and energy density. In contrast, according to SDM-Theory, a theory shown to be consistent with path independent changes in state properties, as well as “conservative field theory,” the increased stored energy in the presence of dielectrics is not associated with energy in fields, but rather it is due to the “extra” charges stored on the electrodes. The extra charge is required to create a given net field in the presence of a dielectric. Indeed, according to SDM-Theory, the effect of dielectric material, because its polarization is opposite to the electrodes, reduces the net field at all points in space, including within the volume of the dielectric. This is the absolute opposite of the “action” of a dielectric predicated by the SM. In the SDM-Theory, at a given capacitor voltage, virtually identical net fields exist with and without a dielectric, but the capacitance (amount of stored charge) and stored energy, a linear function of the amount of stored charge, of the latter configuration can be many orders of magnitude greater. Moreover, SDM-Theory predicts, consistent with recent observations, that dielectric material external to the volume between electrodes should be nearly as effective at increasing capacitance, etc., as the same dielectric material between the electrodes.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.001 | 0.005 |
| Scholarly communication | 0.003 | 0.007 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.004 | 0.003 |
| Insufficient payload (model declined to judge) | 0.009 | 0.002 |
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 source (direct Gemma or distilled Codex), 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".