The parity hypothesis. Comment on “On the parity of general mechanics and general relativity, and misconceptions of Einstein’s theory” by Lane R. Miller
Bibliographic record
Abstract
The parity hypothesis states that parity is possible between generalized mechanics (GM) and the theory of general relativity (GR). In a recent article, we proved a parity theorem for Schwarzschild two-body problems, referring to it as the GM-GR parity theorem. This article responds to a critique of the correctness of the proof, demonstrating where the critique’s reasoning fails. Additionally, the critique rejects the parity hypothesis in problems that are beyond the scope of the theorem. While the parity hypothesis has only been proven for Schwarzschild two-body problems, we find the critique’s additional objection to be both subjective and unsubstantiated.
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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 | 0.007 | 0.025 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.006 | 0.016 |
| Scholarly communication | 0.005 | 0.014 |
| Open science | 0.004 | 0.004 |
| Research integrity | 0.019 | 0.031 |
| Insufficient payload (model declined to judge) | 0.008 | 0.003 |
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".