[amaybaum]

Merged normally as 313a93efcab581465919a4ff82ecda1e4b81e990, from the owner-approved head 8ca8ce30ff1fd65a21768fe875c36b9bf1f58f31. Owner merge approval and next-unit scope. The merge parents are prior main 499463f0345e8be5c9d445db7aa7488310d52df5 and that exact head. Its tree 4c8e93f5965b19b7a22d71574c509d30d795fef0 equals the reviewed head's tree; the landing changes only the three reviewed research files.

Post-merge main verification 42421796492 passed at the landing: 25 successful jobs and one conditional skip, checked from structured run/job records. Main ref was verified at this landing; the approved-content and sequencing checks are complete.

The paper proves a conditional complete-target obstruction: under the stated uniform homogeneous-linear Pauli encodings, common preparation lift and independently available constant translations, no adaptive protocol can supply the quarter phase while every available encoded operation remains completely positive. Bare adaptive quarter-phase reachability, nonlinear/preparation-contextual alternatives and general OI equivalence remain open.

The three-file patch:

• Adds quarter-phase-feedback-20261107/RESULT.md, with a nonnegative-kernel support argument for zero parity and a non-CP translation witness for nonzero parity.
• Adds quarter-phase-native-20261107/PROOF-RECOVERY.md, recovering C-CP under R1 for a fixed active carrier and non-adaptive product-ready inputs, with the full joint record retained.
• Repairs quarter-phase-native-20261107/DESIGN.md, supplying explicit H/offset arguments and narrowing hidden-sector conclusions. Original construction/history is preserved.

Full independent review plus exact-head delta ACCEPT cover the approved head, with no outstanding paper correction. Pre-merge ordinary CI 42420079198 passed: 25 successful jobs and one conditional skip. The results are hand paper mathematics, not new kernel theorems or V3 attestations.

Accountable home #1169. Author root; independent reviewer feedback_review. The integration adopts no new physical premise, strengthens no manuscript claim, and supplies no physical controller, memory or quantum pair. #1185/#1186 remain unmerged; #868 construction remains blocked. Q-B is inactive.

The next bounded paper-only mechanism investigation is separately authorized and its green-main start gate is satisfied. MECH-1 activation keeps Claude Code as its writer on a separate branch, with independent review. No scientific computation, Lean implementation, V3 execution, premise adoption or claim promotion is authorized by that next scope.

[amaybaum]

Independent paper review at 1f9922466584c4114a1439010a8253606948b3c6: ACCEPT

Reviewer: /root/feedback_review, separate from forward-patch author /root. Authority: the bounded activation and writer separation. I read current AGENTS (blob 496eb7018c736a064dddcf00fd1a278790872f49), the original complete Q-A DESIGN, the relevant apparatus-1 SA-1 premises, native read/frame and Lemma 3, both new papers and the complete forward DESIGN diff. The prior #1184 acceptance was not used as proof.

The repository comparison confirms exactly the three authorized research files, two commits ahead of main 499463f0345e8be5c9d445db7aa7488310d52df5; the PR head was rechecked before posting. Reviewed blobs: RESULT 3ed38002814b211adf19312032ce27cb133f5b70; PROOF-RECOVERY 16300cf22e9d363ad7cb91d78e6c387338cfdd6a; DESIGN 1c4020681340fdf63b90bcf9d5fdcb0e3c6e60e7.

The combined-target obstruction is valid on its stated hypotheses.

• RESULT §§2–3: the common conditional lift makes the successful operation one common sub-Markov kernel across all six preparations. Each input point has positive weight in the relevant halfspace. Nonnegative probabilities and the three certain output outcomes therefore force all three pointwise identities on every positive transition. Their sum is p(v')=p(v)+1. When p=0, no nonzero success kernel exists. This argument permits adaptive choices, internal memory and arbitrary full histories; it does not infer non-adaptivity from an affine output.
• RESULT §4: a nonzero p supplies a w with p(w)=1. The available translation acts by an odd sign pattern. The six eigenstates determine the linear qubit extension, which is Pauli conjugation composed with transpose. The displayed Bell partial transpose has eigenvalue -1/2, so this extension is not CP. H-T now explicitly requires a positive input-independent herald weight; it scales the negative eigenvalue. Retaining additional records cannot make every refined branch CP when their translation marginal is not CP.

This settles the combined S+C-CP target for homogeneous linear halfspace encodings with the specified common lift and translations. It does not settle bare adaptive S for nonzero parity, nonlinear encodings or preparation-contextual lifts. Finite V is an encoded-carrier assumption, not finiteness of the hidden universe: normalized conditional auxiliary laws may be infinite. The Bell calculation tests the imported CP comparator and supplies no native Bell apparatus. Arbitrary failure states are not discarded to produce a pass.

The three bounded Q-A repairs are resolved.

1. PROOF-RECOVERY §§1–3 states the necessary fixed input/output carrier, non-adaptivity, independent uniform product-ready source, known ancillary slots and input independence. It factors the entire instrument by G1 sectors before conditioning or coarse-graining. Affine elimination changes the effective input coefficient and yields copy-plus-offset, known replacement or fair residual scalar kernels. Terminal-record isotropy excludes a sharp input effect; terminal-active commutation excludes retaining a conjugate initial input value beside an informative record. With Lemma 3 these exhaust the branches as Pauli/dephasing/valid constant channels or the explicitly displayed measure-and-prepare CP maps. The masked-record example now belongs to the correct constant-preparation case. The proof does not assume that raw offsets remain independent after conditioning, or that separate marginal-record independence establishes joint independence. The product-source restriction is stated as a hypothesis and propagated to DESIGN and N2; arbitrary correlated backgrounds and adaptive R1 instruments are not claimed.
2. PROOF-RECOVERY §§4–5: direct hand substitution verifies Na Nb Na, the graded swap W, and R=W Na Nb Na. Translating z2 then gives all four asserted H pullbacks. The source mediator construction and scheduling supply the factors. Available t_(-a) cancels the fixed offset of t_a L; no uncommitted group/256-offset check is needed as evidence. Separate availability retains its explicit non-adaptive-realization assumption.
3. DESIGN node 4, §4.2 and the classification now preserve G2's conditional non-adaptive obstruction and the displayed shared-cell signal without excluding every inaccessible parity functional or adaptive/distributed hidden sector. The protected extra-cell sum u_h+v_h is correctly distinguished from its individually readable slots. The unsupported inference from an unarmable hidden edge to exclusively free evolution has also been removed.

Disposition: no outstanding paper-proof correction found in this three-file patch at this exact head. The new result does not depend on the R1 recovery, the vacuous ReadWriteSourced predicate, an uncommitted computation or a new physical premise. Existing complete-history and other controls remain requirements; a necessary C-CP failure alone suffices for the scoped combined-target obstruction.

Verification here was source inspection and hand mathematics only. No author file/ref edits, simulation, enumeration, scientific program, Lean build, dispatch, merge or premise adoption occurred. Ordinary PR CI remains the author's separate repository-verification check. This ACCEPT concerns the stated conditional paper results, not physical sourcing, manuscript promotion or authorization to merge.

[amaybaum]

Independent delta review at 8ca8ce30ff1fd65a21768fe875c36b9bf1f58f31: ACCEPT

Reviewer: /root/feedback_review, separate from author /root. I inspected the complete delta from previously reviewed 1f9922466584c4114a1439010a8253606948b3c6, the exact new commit and the current PR head.

The additional scope check identified one hypothesis that needed to be stated expressly: terminal-record commutation applies to an active output carrier. Merely calling the same cell the input/output did not explicitly exclude re-declaring a terminal register as quantum output.

This checkpoint resolves that point:

• PROOF-RECOVERY §1 now states that the carrier remains unregistered and active at output and that every registered terminal cell is auxiliary.
• Its recovered-result conclusion is expressly limited to that fixed active carrier and excludes a different output-carrier convention.
• DESIGN propagates the qualification to its opening result, R1 C-CP statement and capability table.

The entire delta is confined to those scope statements in DESIGN and PROOF-RECOVERY. It adds no operation resource or physical premise. The existing proof now has the explicit active-output hypothesis needed for its terminal-active commutation and no-sharpening steps.

I carry forward the full independent mathematical review for the unaffected content. In particular, RESULT is byte-identical (blob 3ed38002814b211adf19312032ce27cb133f5b70), and its combined-target obstruction is independent of the R1 recovery. The accepted R1 claim is restricted to the fixed active carrier, finite non-adaptive protocol and stated independent product-ready inputs. Bare adaptive S and the other declared open alternatives remain open.

Disposition: ACCEPT at this exact head; no outstanding paper correction. This is a source/text delta review. No author file/ref edit, scientific computation, dispatch, physical-premise adoption or merge occurred. Fresh ordinary CI is the author's separate check; this review grants no merge or manuscript-promotion authorization.

[amaybaum]

Merge record.

• Merge: 313a93e, a normal merge. Parents are main 499463f and the reviewed head 8ca8ce3; the tree, 4c8e93f5, equals the reviewed head's tree.
• Pre-merge check: main 499463f was an ancestor of the head, and the diff was exactly the reviewed three files.
• Approval: owner, Claude Code chat (amaybaum, 2026-11-07, about 23:20 UTC), recorded on OI-QM-EXT-1: establish conditional equivalence with explicit added conditions, then minimize and source them #1169 c.6714000230.
• Post-merge CI on main at 313a93e: green, 25 successful jobs and one conditional skip, run 42421796492.

The paper's limited conclusions are preserved. Adaptive quarter-phase behavior outside the stated hypotheses, and nonlinear or preparation-contextual alternatives, remain open.

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