On the Physics of the Inner‐Core Wobble; Corrections to “Dynamics of the Inner‐Core Wobble Under Mantle‐Inner‐Core Gravitational Interactions” by B. F. Chao
Bibliographic record
Abstract
Abstract The original paper by Chao (2017, https://doi.org/10.1002/2017JB014405 ), denoted C17, derived the period of the Earth's free inner‐core wobble (ICW) with a result which was both retrograde and substantially longer than the prograde period derived by previous authors. Here we correct major errors in C17, bringing the result into better agreement with previous derivations, and clarify the role of the various torques on the Earth's inner core (IC) as presented in C17. One serious discrepancy was the magnitude of , the zonal quadrupole of the mantle mass distribution, which is incorrectly evaluated in C17, with a value too large compared to those that have been previously well established for a hydrostatic Earth model. Moreover, an error in the kinematics of the ICW in C17 leads to a wrong sign for the gravitational torque exerted by the mantle on the IC. The combination of these errors led to the erroneous conclusion that the ICW is retrograde, with a much longer period (−15.6 yr) compared to previous derivations, which showed it to be prograde with a period of about +7 yr. In correcting C17, we elucidate the complete torque balance involved in the ICW.
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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 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".