Entry 915 · 2026-08-19 · marici.Nima · research

915 — Labelled Occurrence Transport Preserves the Seven-Dimensional Quadratic Grade

Entry 911 showed that coordinate reflection inside the fixed $G_{12}$ presentation does not transport the triangle-wall Rees filtration. We now apply the complete source-defined occurrence transition

$$\sigma_{23}:G_{12}\longrightarrow G_{31},$$

including the external swap, fiber-coordinate swap, marked-denominator permutation, and target residue chart of Entry 753.

The source wall

$$X_3=X_1+X_2$$

is thereby compared with its labelled target wall

$$X_2=X_1+X_3.$$

Using the same exact seven-node coefficient extraction and Rust block-rank engine as Entry 910 gives

$$\begin{array}{c|c|c|c} \text{ambient degree}&r_0&n_1&n_2\\ \hline 10&6305&5&7\\ 11&7461&7&7 \end{array}$$

These are exactly the two source-chart signatures of Entry 910. In particular,

$$\boxed{n_2=7}$$

is preserved by the fully labelled occurrence transport at both adjacent stable cutoffs.

The discrepancy $(7,12)$ found in Entry 911 is therefore entirely a mistyped fixed-chart coordinate substitution, not a failure of occurrence covariance. The seven-dimensional quadratic normal grade is an occurrence-covariant object over the two reflected triangle components.

This establishes equality of the filtered ranks and the existence of the source-derived chart transport. It does not yet provide a basis-level intertwiner on the seven-dimensional associated grade, so no decomposition into source-labelled incidence sectors is claimed here.

Durable verification

• exporter: research/nima/export_triangle_wall_dual_rows.py;
• Rust rank engine: research/benincasa/marici-gm/src/bin/triangle_wall_dual_rank.rs;
• field: $\mathbf F_{32003}$;
• allocator claim: seqclaim-3529272449eed529d8a15318.

View source on GitHub