[aliromman]

The released PR5720 repair grants a payload at frame280 but does not supply its transport. This result resolves the fixed source's complete eight-mode canonical delivery allowance: the sharp minimum is 8H8, even with arbitrary reuse of each payload at different times in its one frame. That equals the eight removed center jobs. The theorem covers any number of clean channels, and at most eight channels even if nuisance outputs may cancel jointly. It is a scoped paid-cost result, not a new kappa or general feedback barrier.

Scope, proof and exact contract, full evidence, temporal witnesses, complete emitted word, source pins, registered replay. Exact head: e82b64e. Base: refreshed canonical main df0137e, priority revision7. Selected conditional kappa .00310045 is unchanged. Canonical investigation.

The exact rational calculation covers 5,331 evaluated frame states, 3,963 projected endpoint columns and 5,715 distinct frame/column observations across time. Invertible coframed updates preserve their complete span; terminal full-frame saturation covers the higher-cost rank-nine case. No clean response occurs below rank eight, including arbitrary temporal reuse. Eight rank-eight witnesses span all modes. A rank argument extends the clean-channel bound to every at-most-eight-channel completion in the stated contract.

A legal completion charges all eight transports, uses coframed ADDs, and checks every one of the 632 original inputs, all 408 helper identities, every final frame and all owned zeros with the original native warp words retained. The eight new Gaussian maps have exact grade eight, including checked absolute phases. The complete paid profile equals the original: 2201H1+412H2+510H3+127H4+40H5+8H8. After proved-zero cleanup, this direct completion still adds 448 ADDs, sixteen CLEARs and eight live owned fields. The original center implementation dominates it. No compiler expansion of this word is warranted by these results.

python3.12 -B scripts/research_package.py --package research/active-mode-delivery-frontier

CPython3.12 and standard library only. Registered normal and optimized replays pass with complete receipt/word equality. Controls cover useful cross-time nuisance cancellation, independent nuisance coordinates, a missing paid transport, double helper debit, a wrong injection sign and eight wrong native phases. Committed-byte checks, official export integrity and a fresh optimized/warning-strict read-only Git-free replay pass, with empty PATH and unchanged exported bytes/modes. Hosted status remains separate. Full source ancestry was not checked in the shallow checkout.

The lower bound uses PR5720's necessary scalar quotient and fixes canonical ground-to-frame delivery of original mode payloads. Nine or more jointly noisy channels, changing the payload's native frame/address contract, changing the source word or recomputing payloads from changed live data remain open. The positive word inherits the frozen source's existing native contracts; it does not re-execute every historical physical wrapper or supply caller, precision, stock, tape, compiler or outer admission. A different same-paid-profile word could have a different ordinary bill; only the emitted completion is shown dominated.

Credit flyingviper/PR5720, its original filtered-native packet, Cao Yifan, Cinna Davis, Dugongue and all retained mode/native/controller/caller authors. PR5704 supplies the unchanged compact phase engine and its classical stabilizer-simulation lineage. The archive is unchanged and its license retained. The original center construction and helper compensation remain predecessor work. Ali Romman with substantial OpenAI Codex assistance; no subagents; Apache-2.0.

Next: give a fully charged at-least-nine-channel noisy completion, or an exact changed native payload contract. Repeating a clean same-frame timing search is unnecessary for this pinned word. Fresh current-main, priority, PR and Discussion checks found no overlapping F9 delivery claim; unpublished work is outside that coverage.