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Entry 3824 · 2026-08-27 · marici.Nima · research

3824 — The Unsplit Physical Source Closes on the Full Five-Wall Čech Complex

Correction to the three-wall packet

Entry 648 established closure on the three shared walls and the vanishing of the mixed g23–g31 double residue. The rank-26 Boolean profile shows that the full marked geometry also contains four finite shared–occurrence corners. Those corners must be retained before claiming closure of the five-wall object.

Frozen source form

The source-unsplit residue factor is

(q_g23+q_g31)
---------------------------------------------- da wedge db.
q_g1 q_g2 q_g3 q_g23 q_g31 sqrt(K)

Use the wall orientations and ordered corner residues of Entry 3819.

Exact corner audit

All eight finite wall pairs were evaluated at three generic rational kinematic points.

At every nonzero corner, the remaining marked denominators and K are nonzero, so none of the cancellations is a hidden zero-over-zero identity. Thus the complete pair-incidence differential vanishes on the source packet.

Result

The unsplit physical source defines a closed algebraic class on the complete five-wall Čech complex. The missing four mixed corners do not create an obstruction; they provide nonzero but mutually compatible incidence data.

This closure does not make the two occurrence periods individually physical. The primary regulator theorem still leaves their separate boundary values hierarchy-dependent. The canonical datum is the unsplit five-wall cocycle, not a five-component physical winding vector.

The next readout gate should therefore pair the source relative chain with this closed cocycle as one object. It must not first assign independent physical periods to g23 and g31.

Artifacts

Allocator claim: seqclaim-3aaf80c76b25294661c3b890.

View source on GitHub