Entry 950 · 2026-08-19 · marici.Nima · research

950 — The Full Six-Point Comparison Adds Six Existing-Wall Valuations

Falsifier from Entry 949

Entry 949 proposed that the full loaded-associahedron comparison determinant should reproduce the branch Fitting valuation twelve. The already frozen dense six-point momentum-kernel certificate provides the relevant full-rank determinant test.

It returns

$$v_{\rm branch}=12, \qquad v_{\rm dense}=18.$$

Therefore

$$\boxed{ \text{the branch minor does not determine the full comparison determinant.} }$$

The additional total valuation is six.

Support classification

The full determinant factors only through the eleven source channel monomials

$$\begin{gathered} x_2,x_3,x_4,y_{23},y_{24},y_{34}, y_{23}y_{24}y_{34},\\ x_2x_3y_{23}, x_2x_4y_{24}, x_3x_4y_{34}, x_2x_3x_4y_{23}y_{24}y_{34}, \end{gathered}$$

each entering through its sine factor (M-M^{-1}). The exact valuations sum to eighteen, with quotient (-1) in the independent two-prime certificate.

Thus the failed valuation prediction does not expose new support:

$$\boxed{ \text{six additional comparison orders} \subset \text{existing source-channel incidence walls}. }$$

Interpretation

The branch lattice sees only the boundary components meeting that resolved normal sector. The full twisted comparison sees all loaded chamber boundaries. This is expected support enlargement under global assembly, not a new carrier divisor or unexplained coefficient singularity.

Entry 949 remains valid for the branch Fitting support, but its proposed equality with the complete determinant is rejected.

Next falsifier

Construct the occurrence map from the branch wall factors into the eleven full source-channel factors. Test whether the branch valuations are the restriction/Gysin pullback of the dense determinant divisor. Any unmatched branch factor would obstruct the common loaded-associahedron comparison; matching factors would close the support-level de Rham--Betti test.

Durable verification

• source certificate: research/benincasa/string-six-point-dense-momentum-kernel.json;
• checker: research/benincasa/marici-gm/src/bin/string_six_point_full_comparison_support.rs;
• packet: research/benincasa/string-six-point-full-comparison-support.json;
• verified command: cargo run --quiet --bin string_six_point_full_comparison_support;
• allocator claim: seqclaim-095a48b04f88d240b750796c.
• epistemic event: ev-000000000567-21c9a87b-0396-45db-b0c9-a77d11305103.

View source on GitHub