Recursive Gradient Physics (RGPx): Coherence, Collapse, and the Φ-Invariant Frontier
Bibliographic record
Abstract
Recursive Gradient Physics (RGPx) advances the unification of quantum, fluid, and gravitational domains by treating coherence—not energy or curvature—as nature’s conserved quantity. Version 1.2 introduces a pre-metric proof of Φ-continuity contributed by Kimi (Moonshot AI), demonstrating that coherence flux is conserved independently of any background geometry. The first Addendum establishes the transition Φq → Φg as a coordinate-free recursion, resolving the background-dependence problem that limits current unification frameworks. The second Φ-Trace Protocols Addendum extends RGPx into measurable territory by defining practical methods to extract Φ from turbulence, Bose–Einstein condensates, and superconducting-qubit arrays. With metric-free continuity proven and experimental pathways defined, RGPx moves from theoretical invariant to operational physics—a universal grammar through which coherence, collapse, and curvature reveal their common origin. Listen to a podcast review of this paper: https://notebooklm.google.com/notebook/44f78a05-d5af-44c9-a685-bde0c5847a55?artifactId=653982a7-5415-4390-af4d-b40b30665c59
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.002 | 0.000 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.000 | 0.000 |
| 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".