Conditional κ = 0.001673677688974651 through repeated T16 augmentations

[hexapode]

Repeats a legally prepared T16 augmentation eleven times on exact PR #3388, then applies three residual consolidations. The aggregate paid change is 3 H1 - 25 H3 + 8 H6 + 3 H8.

Exact conditional κ improves from 0.001673648366462479 to 0.001673677688974651, a gain of 2.9322512172×10⁻⁸. Conservative κ is 0.001673677686121868. The complex supplier remains binding. This is a scoped conditional T16 packing improvement; it is not a claim of global superiority across all replica counts, a packing optimum, or a complete multiplication theorem.

The package research/t16-repeated-augmentations authenticates PR3388 at 684d347c0e6e578b8ab600d2e680ad6701cf7fa0 and reconstructs its retained predecessor chain, followed by twenty-five explicit stages using stable logical call/helper identities. Every intermediate map is fully owner-audited and canonical-payload bound. The call order stays unchanged. All69,120 whole-helper roles,144 complete invocations, rank mass1,041,408 and deficit5,120 are preserved.

Validation: both exact prices; complete eleven-stage admission and47 strict outer margins;69/12/15/6 inherited rejection controls; nine behavioral tests under normal and optimized Python; independent reconstruction of all25 stages and actual10,018-chart audit; committed-byte/source-history checks and69-file export validation. Complete typed invoice comparison allows only source bindings and the actual order of identical complete call records; all paid cost fields remain equal. A fresh complete replay of the committed export without Git passed with all70 files unchanged, including the transport manifest. These are local checks, not a hosted-CI claim.

The full attributed lift/controller/invoice pipeline is retained from3388. Frozen predecessors and selected results are unchanged. No private search or solver dependencies are committed. We continue to preserve weaker alternative witnesses, including3384, for future compatible combinations; separate higher-replica families require their own admission and scope assessment.

Credit is retained for Hao Yan's T16 controller and independent audit, Philippe Van Velzen's strict admission, and the predecessor contributor lineage. Prepared by Pierre (hexapode) with substantial OpenAI Codex assistance; no independent human review claimed.