Notes on Pioneer Anomaly Explanation by Sattellite-Shift Formula of Quaternion Relativity: Remarks on "Less Mundane Explanation of Pioneer Anomaly from Q-Relativity"
Bibliographic record
Abstract
Use of satellite shift formula emerging in Quaternion (Q-) model of relativity theory for explanation of Pioneer anomaly [1] is critically discussed. A cinematic scheme more suitable for the case is constructed with the help of Q-model methods. An appropriate formula for apparent deceleration resulting from existence of observerobject relative velocity is derived. Preliminary quantitative assessments made on the base of Pioneer 10/11 data demonstrate closure of the assumed “relativistic deceleration” and observed “Doppler deceleration” values. 1 Introduction. Limits of satellite-shift formula Recently [1] there was an attempt to give an explanation of Pioneer anomaly essentially using formula for relativistic shift of planet’s fast satellites observed from the Earth. This formula was derived within framework of Q-method developed to calculate relativistic effects using SO(1, 2) forminvariant quaternion square root from space-time interval rather than the interval itself [2]; in particular this advantageously permits to describe relativistic motions of any noninertial frames. The last option was used to find mentioned formula that describes cinematic situation comprising three Solar System objects: the Earth (with observer on it), a planet, and its satellite revolving with comparatively large angular velocity. Due to existence of Earth-planet relative velocity, not great though and variable but permanent, the cycle frequency of satellite rotation (observed from the Earth) is apparently less that in realty, i.e. the “planet’s clock” is slowing down, and calculation shows that the gap is growing linearly with time. Visually it looks that the satellite position on its orbit is apparently behind an expected place. For very fast satellites (like Jupiter’s Metis and Adrastea) and for sufficiently long period of time the effect can probably be experimentally detected. Same effect exists of course for Mars’s satellites and it is computed that monthly apparent shift on its orbit of e.g. Phobos is about 50 meters (that is by the way can be important and taken into account when planning expedition of spacecraft closely approaching the moon).
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.006 | 0.001 |
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".