Entry 911 · 2026-08-19 · marici.Nima · research

911 — Coordinate Reflection Does Not Transport the Triangle-Wall Rees Grade

Entry 910 computed the exact normal Rees grades of the complete labelled relation matrix at

$$X_3=X_1+X_2.$$

To test occurrence transport, the same seven-node exact coefficient protocol was applied to the coordinate-reflected wall

$$X_2=X_1+X_3$$

while deliberately retaining the fixed $G_{12}$ source presentation. At ambient relation degree 10, the resulting ranks are

$$r_0=6298, \qquad \operatorname{rank}M^{(2)}=12603, \qquad \operatorname{rank}M^{(3)}=18920,$$

and hence

$$\boxed{(n_1,n_2)=(7,12).}$$

This does not reproduce Entry 910's $(5,7)$. Therefore coordinate substitution inside the fixed source chart is not the occurrence-reflection transport of the quadratic normal grade. The mismatch is positive evidence for the typing constraint already isolated in Entry 753: occurrence reflection must transport the labelled residue chart and source generators together with the external coordinates.

Consequently no reflection character may yet be assigned to Entry 910's seven-plane. The next admissible comparison is between fully relabelled packets for the two triangle-wall components.

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-809d7a25b32999478e4e74ec.

View source on GitHub