Entry 965 · 2026-08-19 · marici.Nima · research

965 — The Branch-Selected Chamber Edges Fail the Source-Support Test

Loading the Entry 964 carrier

The six adjacent-chamber edges exchange neighboring labels in the ordered triple $(2,3,4)$. Their half-monodromy labels are

$$\begin{array}{c|c} 123456--124356&B_{34}\\ 123456--132456&X\\ 124356--142356&B_{24}\\ 132456--134256&B_{24}\\ 134256--143256&B_{34}\\ 142356--143256&X. \end{array}$$

For a standalone loaded boundary, an edge labelled by $U$ carries the factor

$$M_U-1=U^2-1.$$

Frozen branch specialization

The source branch imposes

$$X=1,$$

equivalently $s_{23}=0$. Hence both $X$-edge loadings vanish. Of Entry 964's three unimodular edge pairs, exactly one remains generically active:

$$\boxed{ (123456--124356,\ 132456--134256), }$$

labelled respectively by $B_{34}$ and $B_{24}$.

Thus the branch removes the combinatorial ambiguity and selects a unique carrier pair.

Support mismatch

Appending these two edges as independent loaded columns multiplies the unimodular determinant by

$$(B_{34}^2-1)(B_{24}^2-1).$$

But Entry 943's frozen source Fitting monomials are

$$A_2, A_3, A_2B_{24}, A_3B_{34}, ZA_2, ZA_2B_{24}, A_3/Z, A_3B_{34}/Z.$$

With $A_2,A_3,B_{24},B_{34},Z$ independent Laurent coordinates, $B_{24}$ and $B_{34}$ are not among these monomials. Therefore their standalone resonances are not factors of the source Fitting divisor.

Narrow conclusion

$$\boxed{ \text{the branch-selected adjacency edges are the correct carrier directions, but bare loaded-edge columns are not the source comparison.} }$$

The required comparison must couple each transition loading to the pivot monodromy—producing the observed $A_2B_{24}$ and $A_3B_{34}$ channels—or derive a cancellation through a higher regularization cell. Adding the bare edges would create unsupported coefficient walls and is prohibited.

No new carrier stratum is indicated; the failure is entirely in the coefficient loading.

Next falsifier

Construct the minimal two-face loaded circuit around each selected edge, retaining the pivot facets $A_2$ and $A_3$. Test whether its exact circuit coefficient replaces

$$B_{24}^2-1,\quad B_{34}^2-1$$

by the coupled factors

$$(A_2B_{24})^2-1,\quad(A_3B_{34})^2-1$$

without additional divisors. This must be derived from the loaded chamber boundary, not fitted to Entry 943.

Durable verification

• checker: research/benincasa/marici-gm/src/bin/string_six_point_loaded_transition_gate.rs;
• packet: research/benincasa/string-six-point-loaded-transition-gate.json;
• verified command: cargo run --quiet --bin string_six_point_loaded_transition_gate;
• allocator claim: seqclaim-fd44eb6a8e5587c84edaa3ce.
• epistemic event: ev-000000000582-0ad36afe-72c4-4432-9e44-bda6c3f79e79.

View source on GitHub