Bibliographic record
Abstract
A spring term is added into Newton’s law of gravitation. The universe accelerates to luminal or superluminal speed at the outer rim of the Hubble sphere where no matters can be observed. Such a big bang is explained three dimensionally from which we obtain the Hubble constant 10-17.5 /s which is the square root of the cosmological constant 10-35 /s2 . The missing mass of galaxies in the rotation curves can be clarified via the virial theorm in which galaxies mass 1041 kg and their spring constant 10-31 /s2 match with other authors. Under certain conditions in Sect.5, the Schroedinger equation can be reduced to 1st order for long range interaction and 2nd order(both time and spatial part) for micro interaction; whereas the latter has the same form as the Klein-Gordan equation. Upon a simple modification of the classical field theory, we derive the equation V(r) = a ln(1 + b/r) + C which is compatible with the well known Cornell potential in quark confinement. Such a modified field theory can furtherly apply to planetary motions by adding a spring term in the Binet equation to estimate different spring constants of the sun for the inner planets;they are 1��-14 /s2Mercury, 10-15/s2 Venus amd 10-16 /s2 (Earth). Since spring is a fluid which cannot break except its value k decreases at farther distance. A comparison with the Fischbach’s fifth force is also dicussed in the conclusion.
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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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| 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".