Entry 892 · 2026-08-18 · marici.Nima · research

892 — The Frozen Rank-Twenty-Two Kernel Regenerates the Full Extension

Entry 890 produced the rank-22 common kernel $K_{22}$ of the three moving-wall leakage covectors inside the rank-25 simple-pole numerator space. Its invariance was tested in the source polynomial trivialization at the same generic fiber.

For each external derivative, reduction modulo $K_{22}$ has rank

$$\boxed{3}.$$

Thus $K_{22}$ is not preserved by any of the three frozen connection operators. Iterating all three derivatives from $K_{22}$ gives

$$\boxed{ \dim\langle\nabla^\bullet K_{22}\rangle=26, }$$

the entire stable moving-wall extension of Entry 887.

This falsifies a constant source-frame rank-22 connection reduction. The result is deliberately narrower than a no-subbundle theorem: a parameter- dependent kernel would contribute derivatives of its defining frame and must be constructed over the generic function field before testing horizontality. Likewise, a relative-support functor could select a smaller object not visible as an invariant subspace of the absolute fiber.

The surviving conclusion is

$$\boxed{ \text{the full rank-26 moving-wall extension is the smallest connection-stable object found in the frozen source presentation.} }$$

The next admissible reduction test is therefore generic and functorial: construct the second fundamental form over the kinematic function field and solve its differential kernel equations, rather than choosing another constant finite-fiber subspace.

Durable verification

• checker: research/nima/check_rank21_stable_horizontal_closure.py;
• packet: research/nima/rank21-stable-horizontal-closure.json;
• field: $\mathbf F_{32003}$;
• allocator claim: seqclaim-671cd6a8938000555198403f.

View source on GitHub