v15.41 connection / curvature
Three clocks · signal over hype · scientific_breakthrough: false
- Last X field note
- 2026-09-24Restricted24 Sep thread visualizes A=(I+X)(I+Y)Δ/8. Eigenmode pictures, not dynamics. Certificates match v15.45. Source correspondence not evaluated. Not a STATUS gate. Einstein not closed.
- Wiki compile
- 2026-10-10
Batch index. Behind STATUS.md if they disagree.
- GitHub STATUS.md
- v15.03 retained — not erased · main note publishes v15.45 · integration branch still v16.55 · overlapping-guard tip 1e7cd09 · scoped C3 not a general no-go · not on main · not a source
scientific_breakthrough: false · Pillar 3 OPEN
GitHub-only gates have no invented X URL. Do not merge the X week with the Git ladder.
Scan log · Live gates · Two stacks
GitHub-only research freeze. Connection identifiable. Curvature exactly zero. No curvature–source correspondence. Not Einstein. Not a STATUS gate. scientific_breakthrough: false.
00 Astra · Result · Restricted · 2026-09-19 · compiled 2026-10-10 · 1 min read · 1 claim · 1 X source
Package: ResearchHistory/UQCF-GEM (v13–v14) · JSON · Cite
v15.41 · GitHub-only · curvature
On this page
Causal stack
- 00 Astra / global consistency
- 01 Genesis Pin
- 02 Retained pruning-order history
- 03 Admissible slice
- 04 L1 (closed)
- 05 L2 (closed)
- 06 L3 hyperedge memory T_H + D_L3
- 07 L4 H₄ rank lift
- 08 Discrete atlas / scalar accessibility
- 09 GEM-bridge / gravity
Research branch, not main STATUS
Lives on research/v15.41-formal-connection-curvature-source-correspondence. Main STATUS.md freeze remains v15.03 NO_CERTIFIED_GRAPH_SITE_FACTORIZATION. No X field note. Do not invent one. Pillar 3 OPEN.
Restricted
atlas:v15-41
v15.41: CONNECTION_IDENTIFIABLE_NO_CURVATURE_SOURCE_CORRESPONDENCE. Finite sizes L=5,7,9,11. Cartan rank = augmented rank (50, 98, 162, 242). Nullity 0. Curvature exactly zero on the complete source orbit. Correspondence false. 80 cells. Conditional on frozen v15.39 axioms and v15.40 operational metric. GitHub-only 19–20 Sep. scientific_breakthrough: false.
Source on X
The mechanically differentiated holonomy is exactly zero on the complete source orbit, so its centered contraction cannot equal α_L s_f for any required nonzero α_L. Connection is identifiable; curvature–source correspondence fails. Inherited control families do not pass the complete gate. Asymmetric scrambles fail correspondence.
What this does not show
- A physical affine connection, spacetime curvature, or stress-energy law.
- A continuum result, Newtonian limit, or Einstein dynamics.
- A main-branch STATUS gate. Cite STATUS.md for current science.
Immediate prior gates (same research line)
- v15.40 CANONICAL_INCIDENCE_GEOMETRY_SPECIFICITY_SURVIVES — global-balance response recovers B2 face-neighbor at L=5,7,9,11; four controls fail. Not a physical metric.
- v15.39 higher-incidence source axioms — supplied axioms this correspondence is conditional on.
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Next in this line: v15.42 transport certified, then v15.43 nonzero canonical response curvature with source correspondence NOT_EVALUATED.
- v15.43 response geometry
- v15.42 transport
- Research ladder through v15.45
- STATUS.md (main, v15.03)
- Live gates
X sources
Original posts this article was compiled from. The notebook copy is editorial; the status URL is the source.
-
2026-09-19
v15.41 connection identifiable; no curvature–source correspondence
In the notebook · Open original post
Previous v15.42 transport protocolNext v15.13 independent events
Causal stack
- 00 Astra / global consistency
- 01 Genesis Pin
- 02 Retained pruning-order history
- 03 Admissible slice
- 04 L1 (closed)
- 05 L2 (closed)
- 06 L3 hyperedge memory T_H + D_L3
- 07 L4 H₄ rank lift
- 08 Discrete atlas / scalar accessibility
- 09 GEM-bridge / gravity
On this page
Related articles
- Falsification and next step
- Live gates
- Projective obstruction
- RGCL
- v15.43 certified response geometry
- v15.42 transport protocol
- Research ladder v15.12–v15.45 (main) / v15.46–v15.54 (#57)
- Protein program closeout
GitHub packages
Field notes