Mathematical extension of special relativity into three-dimensional internal acceleration
Bibliographic record
Abstract
The special theory of relativity (STR) has already been expanded onto normal and binormal subcomponents of an internal acceleration visible within 3D trihedron moving in Frenet frame ( T,N,B ) along the trajectory curve, in addition to the constant tangential speed of classical STR. Now the STR is extended into tangential, normal, and binormal subcomponents of total internal acceleration in the (moving, curving, and twisting/torsing) trihedron via the varying total internal speed that is extracted from the external speed, which is allowed to vary now with the extended proper/moving time in the external length-based space within operationally imaginary but physically real internal domain of the elapsing proper/moving time. The temporarily emerging extra internal acceleration also implies temporarily arising extra internal forces that could affect airplanes in flight just as they affect the moving zero-dimensional mathematical point. For even an invisible, i.e., mathematically imaginary, force is still physically real active force.
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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 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".