[amaybaum]

Owner-adopted OI foundation — observer-relative finiteness (2026-10-30)

Foundational research requirement: for each specified physically bounded embedded observer/interface (O), the resolved observation (\pi_O:S\to V_O) has a finite set of distinguishable outcomes (|V_O|<\infty). There is no general requirement that the total microscopic substratum (S) be finite. Finite, countable and continuous carriers remain candidate substrates subject to separately stated dynamics, measurable observables and normalized states/priors. See #1007 owner decision.

Status and guard: This is a deliberately adopted foundational formulation, not a theorem that a general infinite carrier reproduces quantum mechanics, Yang–Mills, GR or exact recurrence. Existing finite-(S) proofs and finite-alphabet models remain valid only with their original stated finite-carrier premises. Finite distinguishability at one bounded interface does not imply a bound on unbounded accumulated histories, synchronized visible return, finite total entropy or observational gauge equivalence at all times. The latter requires matching specified accessible records/operational laws.

Specific consequence here: Continuous or infinite carrier states become admissible but do not by themselves source oriented non-flat links, a Wilson gauge action, an observer-intervention menu, or constructive QCD.

Scientific migration: #1015 exact-source minimum-diff ledger, #1014 boundary/horizon entropy, #872 continuum/operational limits. Keep research-only and draft; no changed theorem grades, manuscript text, main, F/E, workflow dispatch or merge by virtue of this decision. Existing historical checkpoints below are preserved.

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GA-1 preregistration integrated — no scientific execution

Current source head: 0efd67a630fc80ac55fde1ca49fe8c5cbdbf10c3 (Stage S report; final status-label cleanup). Source audit accepted independently at parent 9c89b27d; acceptance confirmed at this exact final head.

Accepted protocol head: 3874c239c5954062f0eac09b7e7710a055da3a56, integrated by fast-forward from 2234f62b after independent preregistration acceptance. One added protocol file, verification/programmes/oi-qm/constructive-qcd-bridge/NATIVE-ACTION-PREREGISTRATION.md, blob 0ad4348cf7a49183aa17fa24f0f6862730d3e493.

The protocol starts with SM §6.5's existing non-abelian link candidate, keeps its measure hypotheses explicit, separates native source/dynamics/action from operational access, and retains the Wilson-versus-squared countercontrol on native support. No candidate has been selected. GA★ needs its own independent exact-commit review and separate owner execution authorization before any outcome calculation.

Protocol-head ordinary PR CI 41284468030 passed: 25 jobs succeeded, 1 expected skip; Mathlib Build and Release gate both succeeded. Independent review confirmed protocol readiness at 3874c239; that does not certify the new Stage S report. Earlier run 40946009632 passed on preceding source head 2234f62b and does not validate this added protocol. These ordinary PR runs test synthetic merges, not F/E attestations.

Stage S — source audit only

The owner authorized source inspection and dependency tracing only. The new report STAGE-S-SOURCE-AUDIT.md pins current main 5914c17c, compares the historical anchors and traces the three preregistered families. Independent source review accepted GAP-SOURCE at 9c89b27d, bounded to the three audited families. The existing conditional non-abelian construction is retained; scalar stationarity and the scalar-to-determinant measure/observable map remain separate sourcing obligations. A6 covariance and a concrete scalar rule do not supply the missing same-update identification. Operational access remains separately open.

Fresh ordinary PR CI 41286552998 for final source head 0efd67a6 passed: 25 jobs succeeded, 1 expected skip; Mathlib Build and Release gate succeeded. The parent report's source review and final exact-delta confirmation are accepted. Parent CI 41286415594 belongs to 9c89b27d and is not substituted for final-head evidence. No candidate calculation or GA★ selection has occurred.

Purpose (research-only, draft)

Record the October 26, 2026 OpenAI announced Yang–Mills/QCD existence result as an unverified external development and assess the precise OI-to-gauge-dynamics gap without changing scientific claims.

Base (D): main at c9036cff768681bcad9a3d776430ea6a8eb80ac5.
Initial research head: 2234f62b171d95ce2be41aeaa72b4da7ae6210cb.
Authority: draft research; not a publication correction, Lean attestation, mass-gap claim, native-round freeze, workflow dispatch, or authorization to merge.

Substantive initial result

An exact elementary lattice-gauge countercontrol is recorded: for SU(2) links, both the Wilson plaquette functional Σ_p w(U_p) and Σ_p w(U_p)^2 are locally gauge-invariant, but on explicit holonomies their ratios differ. Thus gauge covariance alone does not uniquely select Wilson/Yang–Mills action. This is a theorem about the stated ambient lattice setup—not a proof about the fully constrained OI substratum.

OI dependencies kept explicit

• H-link + H-cust, single-copy carrier and A6 covariance remain conditional; SM.md itself says the Wilson functional does not yet govern derived link dynamics.
• The OI lattice is proposed as fundamental and finite-spacing; constructive QCD instead constructs an interacting continuum, infinite-volume theory. Shared lattice terminology is not equivalence.
• The programme has unsourced physical/operational-QM bridges; no OI-to-QCD correspondence or nonperturbative error bound is established.
• The mass gap and confinement are not obtained by the reported OpenAI existence proof or by OI here.
• OpenAI's proof and reported Lean formalization are not yet public/reproduced in this research.

Files changed

• verification/programmes/oi-qm/constructive-qcd-bridge/README.md — exact countercontrol, claim/evidence status, bounded observable-matching target, control conditions and ordered independent-check gates.

• verification/programmes/oi-qm/constructive-qcd-bridge/NATIVE-ACTION-PREREGISTRATION.md — 181-line bounded GA-1 preregistration, independently accepted internally at 3874c239 and unchanged.

• verification/programmes/oi-qm/constructive-qcd-bridge/STAGE-S-SOURCE-AUDIT.md — 169-line source report, independently accepted at 9c89b27d; final child changes only the obsolete review-pending label.

Diff check: three new research Markdown files, 513 added lines, zero manuscript, book, publication artifact, Lean, or CI edits.

Next check / review request

Stage S is complete at 0efd67a6: source review, final exact-delta confirmation and fresh ordinary CI passed. No GA★ is selected; any next source-package work or candidate calculation needs its own bounded authorization. The earlier ordered programme below remains conditional; it authorizes no calculation:

1. Independently verify the SU(2) trace/conjugation argument and ensure its ambient-only scope is preserved.
2. Trace native OI link dynamics and all carrier hypotheses across papers/SM.md, papers/Substratum.md, verification/ROADMAP.md, Lean modules and verification records: do the actual OI premises select a link action or remain underdetermined?
3. If action sourcing is found, preregister a minimal gauge-invariant Wilson-loop / connected-correlator matching calculation with independent baseline and countercontrol before claiming any agreement.
4. Revisit external-theorem compatibility only after exact theorem statements and proof artifacts become inspectable.

No manuscript edit is requested here. Any independently established source defect should be corrected in its own minimal, whole-corpus-propagated PR under AGENTS.md §A.25.

External announcement: https://openai.com/index/building-scientific-understanding-with-academic-communities/
Working-group statement: https://www.kitp.ucsb.edu/statement-by-the-yangmills-working-group
Existing roadmap: https://github.com/amaybaum/incompleteness/blob/main/verification/ROADMAP.md

Validation: remote readback and exact-commit comparison confirm the accepted protocol's bytes. Internal preregistration review and its integration CI passed at 3874c239. Stage S source review is accepted at 9c89b27d, with exact-final-head confirmation and fresh ordinary CI passed at 0efd67a6, as stated above. No new calculation, scientific execution, premise adoption, F/E designation, scientific promotion, special dispatch or merge.

[amaybaum]

SUBSTATE-1 cross-link: #1007 integration matrix, lane C. The natural shared experiment is not merely adding continuous site values: derive oriented non-flat links and an invariant physical measure/action from the same actual microscopic update, then apply your ambient SU(2) Σw versus Σw² action-selection countercontrol. #1009 adds an independent equal-herald-rate U(1) accepted/rejected full-record selection control and pure-gradient flatness no-go for one naive link map; its added link-pointer toy is non-native. Require unconditioned loops/connected correlations and all attempted/rejected records before inferring a Wilson weight. Neither issue establishes Yang–Mills, a mass gap or physical OI control. Research-only, no merge/claim upgrade.

[amaybaum]

SUBSTATE-1 C-lane — conditional equivariant-site-link rigidity (new paper-level lemma)

Exact algebraic result, restricted premises: Let V be a finite graph, G any group, and let the entire microscopic configuration be site elements f=(f_v)∈G^V. Suppose arbitrary independent local gauge re-descriptions act on the sites by (g⋅f)_v=g_v f_v (free and transitive on G^V), and an oriented link assignment U_e:G^V→G obeys full link covariance

U_{v→w}(g⋅ f)=g_v U_{v→w}(f) g_w^{-1}

for every site configuration f and every independent local g. Let e be the all-identity site configuration, and C_{v→w}=U_{v→w}(e). Choosing g=f yields the exact identity

U_{v→w}(f)=f_v C_{v→w} f_w^{-1}.

For any closed oriented loop based at vertex v, telescoping gives

U_loop(f)=f_v (∏_{e ∈ loop} C_e) f_v^{-1}.

Thus the conjugacy class / Wilson trace of every loop is independent of the microscopic site state f. For abelian G, the entire loop product is constant. One can choose fixed C_e with nontrivial background curvature, so the lemma does not force all loops to equal the identity; it excludes fluctuating gauge-invariant loop holonomy sourced solely from these free-transitive site fields.

Independent finite exact regression: For G=Z/5 on a four-site square with C=(1,2,0,1), enumerating all 5^4=625 scalar site configurations yielded the same loop sum 4 mod 5 in every case. The arbitrary-G proof above is algebraic, not inferred from the finite enumeration.

Why this matters for #1009/#1003: The current native cubic scalar update's naive site-shift gauge proposal fails actual dynamical covariance (already proved by #1009), and its pure-gradient extraction has flat loops. Even if one redesigned the update to respect the full free-transitive local site action, an equivariant link functional depending only on those site variables could produce at most a fixed Wilson-loop conjugacy class. A nontrivial dynamical physical gauge field therefore requires a way outside at least one premise: independent link/internal relative degrees, a nontransitive group action with residual gauge-invariant data, a genuinely different sourced site-to-link construction, or a more restricted symmetry. H-link/H-cust are not refuted: they posit additional conditional link/coupling structure.

Careful scope: This is a statement about a link extraction from site fields under a very strong independent local group action, not an OI-wide theorem about all possible microscopic carriers or a proof that Yang–Mills cannot emerge. It does not derive the dynamics or select Wilson vs squared action. The condition U(g⋅f)=gU(f)g^{-1} is an input. A passive gauge re-description is not itself an available observer measurement. Keep #1003's SU(2) Σw vs Σw² alternative as independent obstruction.

Suggested review test: examine exactly where the OI H-link/SM A6 implementation departs from the free-transitive site-only hypothesis, and require a nonconstant gauge-invariant Wilson loop with physical evolution from one pinned native update before claiming link dynamics. Paper-level proof awaiting independent review; no Lean or manuscript promotion, no new physical premise, no workflow dispatch/F/E/merge.

[amaybaum]

Writer handover. At the owner's instruction (2026-10-31), this session is now the single writer for this PR. Other sessions should not push to its branch.

• Starting head: 2234f62b171d95ce2be41aeaa72b4da7ae6210cb.
• Next step: a status and review-state check. The next unit will be stated here before any work begins.

No merge, special dispatch or manuscript change.

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Generated by Claude Code

[amaybaum]

Coordination checkpoint — separate Lane B/C session, 2026-11-01. The owner authorized Lane C preregistration only, with independent exact-commit review before any new experiment/calculation. I have verified #1003 remains at 2234f62 (ordinary PR CI 40946009632 green). I will preserve the designated writer's ownership from comment 6542940846: no push to this PR branch. I will prepare a bounded native gauge-link/action sourcing preregistration on a separate research staging branch, link its immutable SHA here for writer handoff and independent review, and leave integration to the designated writer. No calculation, manuscript edit, premise adoption, F/E promotion, special dispatch or merge. MR-1 #1023 and Lane A #1009 remain out of scope.

[amaybaum]

Lane C preregistration checkpoint (no execution): GA-1 is published on the separate staging branch research/lane-c-native-action-prereg-20261101 at 54e5690, a single child of #1003's unchanged head 2234f62. File: https://github.com/amaybaum/incompleteness/blob/54e56905415536c5d39c596771e7d1045eb93a17/verification/programmes/oi-qm/constructive-qcd-bridge/NATIVE-ACTION-PREREGISTRATION.md

One new research Markdown file only. It prioritizes SM §6.5's existing non-abelian exponential-link candidate and measure hypotheses, keeps the abelian obstruction separate, retains the Wilson-versus-squared countercontrol, and distinguishes physical source, evolving invariant loops and action selection on native support. No candidate is selected; a complete reviewed GA★ and separate execution authorization are required before any outcome calculation. Static diff/object/secret-pattern checks passed; no scientific calculation or Lean build ran. Independent review of this immutable SHA is starting. The designated writer retains #1003 branch ownership; this staging checkpoint has not been integrated.

[amaybaum]

Independent internal readiness review of GA-1 at 54e5690: REVISE, two bounded findings.

1. A missing GA★ made the ordered NOT-RUN row shadow Stage S's source-audit GAP-SOURCE disposition. Separate source-audit dispositions from outcome-execution verdicts.
2. Missing operational readback was allowed to trigger KINEMATIC-ONLY even for a sourced evolving physical law. Record access as a separate axis; apply actuator-deletion/reuse controls only to operations and reuse actually claimed.

The reviewer otherwise confirmed preservation of the existing SM §6.5 candidate, its measure hypotheses, native-support action countercontrol, fixed candidate/Obs–μ gate, and no-execution boundaries. This was a separate review agent, /root/lane_c_review, inspecting the immutable commit; no calculations or Lean checks. The two changes are being published for exact-commit re-review. No integration to #1003's writer branch.

[amaybaum]

GA-1 preregistration — independent ACCEPT for designated-writer handoff

Accepted exact staging commit: 3874c239c5954062f0eac09b7e7710a055da3a56 (parent 54e56905415536c5d39c596771e7d1045eb93a17).
File: NATIVE-ACTION-PREREGISTRATION.md, blob 0ad4348cf7a49183aa17fa24f0f6862730d3e493.
Review provenance: separate internal review agent /root/lane_c_review, 2026-11-01, source inspection only. Its exact verdict: “ACCEPT for writer handoff at 3874c23. No remaining readiness blocker found.”

Both prior findings are resolved: Stage S has distinct source-audit dispositions, and operational access is independent of the dynamics/action result. The reviewer verified the exact parent and file blob. This is internal agent review, not external scientific validation.

Publication/validation: GitHub base-to-staging compare confirms two commits ahead of #1003 head 2234f62b, adding only this 181-line research Markdown file. Remote file bytes match the inspected local artifact; static diff/object checks passed. The staging branch has no CI run. Existing green #1003 run 40946009632 validates its unchanged head, not this staging change. No new science, controls or Lean builds ran.

Designated-writer next step: review and integrate this checkpoint serially into #1003 when appropriate; retain the staging history and obtain ordinary PR CI on the resulting integration head plus independent review of any integration changes. No writer ownership is transferred and no push to #1003's branch was made here.

Execution remains NOT-RUN. A candidate must first be fixed in GA★, independently reviewed at its own exact commit and separately authorized by the owner before any outcome calculation. No physical premise, manuscript, grading, F/E, special dispatch, merge, or MR-1/Lane A/PC-1 protocol change is authorized by this acceptance.

[amaybaum]

Owner-directed next step — designated-writer integration, no scientific execution

The owner has now directed completing GA-1's integration/provenance gates: hand Lane C to its designated writer, integrate accepted staging commit 3874c239c5954062f0eac09b7e7710a055da3a56 with minimum changes, verify ordinary PR CI and obtain independent review of the exact integrated head. Scientific execution stays closed.

To the writer designated in comment 6542940846: please fast-forward the unchanged #1003 head 2234f62b171d95ce2be41aeaa72b4da7ae6210cb to the accepted staging commit, or publish a byte-identical bounded integration commit if the head has since moved. The accepted file blob is 0ad4348cf7a49183aa17fa24f0f6862730d3e493; only verification/programmes/oi-qm/constructive-qcd-bridge/NATIVE-ACTION-PREREGISTRATION.md is added. Inspect push-triggered workflows first, use an expected-head check, and report the resulting SHA/CI run here for exact-commit review. Please align the PR description with the integrated head without changing the original countercontrol.

This session retains reviewer/handoff scope and will not push to your branch. No experiment, candidate calculation, GA★ adoption, F/E, premise, manuscript, special dispatch or merge is authorized. MR-1 #1023 and Lane A #1009 remain isolated.

[amaybaum]

Writer clarification — 2026-11-01

The owner clarified in this session: “This session is the writer for Lane B and C, correct?” This follows the original handoff assigning this session responsibility for both lanes. I had incorrectly treated the older 2026-10-31 writer designation as an external integration blocker.

This session is now the designated single writer for Lane B (#1011) and Lane C (#1003), within the already authorized integration/status scope. Other sessions should not push concurrently to these branches. I will integrate the independently accepted checkpoints serially using expected-head, fast-forward-only updates, then verify ordinary PR CI and obtain independent review of the exact integrated commits.

No scientific execution, premise adoption, promotion, special workflow dispatch or merge is authorized. MR-1 #1023 and Lane A #1009 remain untouched.

[amaybaum]

Integrated-head checkpoint — 3874c23

Integrated serially by expected-head, fast-forward-only branch update. Current PR head: 3874c239c5954062f0eac09b7e7710a055da3a56. No rebase, merge commit or content rewrite was introduced by integration. The PR description now reflects this integrated head and the fresh CI state.

Separate internal reviewer /root/lane_c_review: Post-integration readiness CONFIRMED. The actual PR head equals the accepted commit, the delta from the old head is exactly the one 181-line protocol, and file blob 0ad4348cf7a49183aa17fa24f0f6862730d3e493 is unchanged. Execution remains NOT-RUN.

Fresh CI: ordinary PR run 41284468030 is pending. Review acceptance does not certify CI; final evidence will be recorded when the run concludes. The ordinary PR run tests a synthetic merge and is not an F/E exact-head attestation.

Both PRs remain draft/unmerged. No scientific execution, premise adoption, special dispatch, scientific promotion or merge. MR-1 and Lane A remain untouched.

[amaybaum]

Lane C integration gate — PASS

Integrated and independently reviewed source head: 3874c239c5954062f0eac09b7e7710a055da3a56.
Fresh ordinary PR CI: 41284468030, concluded success: 25 jobs passed, 1 expected skip. Mathlib job 124782845764: Build = success; Release gate = success.

Separate internal reviewer /root/lane_c_review independently confirmed the unchanged integrated head, structured run/job/step conclusions and updated description after CI completed. Final disposition: bounded integration gate confirmed. The accepted preregistration remains unchanged, file blob 0ad4348cf7a49183aa17fa24f0f6862730d3e493.

Scientific execution remains NOT-RUN. The protocol does not select a candidate or establish gauge-field/Yang–Mills dynamics. GA★ still requires its own independent exact-commit review and separate owner execution authorization. This ordinary synthetic-merge PR CI is not an F/E attestation.

The PR remains draft and unmerged. No new experiment, candidate calculation, premise adoption, graded-claim change, special dispatch, scientific promotion or merge. MR-1 #1023 and Lane A #1009 remain untouched. This completes only the authorized Lane C integration/provenance gates.

[amaybaum]

GA-1 Stage S authorized — source audit only

The owner accepted the recommendation to proceed with Stage S only: source inspection and written dependency tracing, beginning with SM §6.5's existing non-abelian candidate. This session remains the designated writer for Lane C.

I will pin current main, compare the accepted protocol's historical anchors, inspect the three ordered source families, and publish a bounded source report for independent exact-commit review. No candidate loops, determinants, spectra, fits, controls, simulation or Lean calculations will be run. No GA★ candidate selection, premise adoption, scientific promotion, special dispatch or merge. MR-1, Lane A and Lane B remain outside the write scope.

[amaybaum]

GA-1 Stage S author checkpoint — source report, no candidate execution

Head: 9c89b27ddaebcd455dd82ab8e0e4def5b552dd7f, parent 3874c239. One added research Markdown file: STAGE-S-SOURCE-AUDIT.md, 169 lines. The accepted preregistration is unchanged.

Author source assessment: GAP-SOURCE, scoped to GA-1's three ordered families. SM §6.5's conditional non-abelian construction is retained. The source trace keeps separate (1) the scalar stationary-law proposal and (2) the scalar-to-determinant measure/observable map. The formal A6 interface supplies covariance with parameterized coupling, not a selected dynamical link law. The scalar reference supplies a concrete update, not the missing identification of the proposed weighted gauge law with the same native update. Operational readback stays a separate open axis.

Source snapshot: current main 5914c17cd0d82e67b0803e6bc1f2278fd95c4a80, explicitly compared with the preregistration's historical c596904a pins. The comparison/addendum is submitted with the report for independent review; no protocol input or test was silently replaced.

Repository-wide source discovery and direct source reads were performed; no candidate loop, determinant, spectrum, fit, simulation, exact probe or Lean build was evaluated in Stage S. Only static report checks ran. Fresh ordinary PR CI is separate housekeeping evidence, not candidate execution or F/E attestation. Separate internal reviewer /root/lane_c_review is examining this exact pushed commit. No GA★ selection, premise adoption, manuscript/ROADMAP/grade change, special dispatch, promotion or merge. Lane B, MR-1, Lane A and PC-1 remain unchanged.

[amaybaum]

Independent Stage S review — ACCEPT at 9c89b27

Separate internal reviewer /root/lane_c_review accepted exact source-audit commit 9c89b27ddaebcd455dd82ab8e0e4def5b552dd7f, with no blocking attribution/scope finding. The reviewer independently checked the three-family source chain, preserved non-abelian construction versus hypercharge scope, distinct stationary-law and determinant measure/observable obligations, parameterized A6 interface, scalar specialization, and source-pin addendum.

Accepted disposition: GAP-SOURCE, bounded to the three audited families. It is not a global no-go, rejection of the conditional construction or physical action derivation.

A final record-only child removes the obsolete author-line phrase “independent review pending”; all source analysis and the accepted preregistration remain unchanged. Exact delta confirmation and fresh ordinary CI will be recorded on that final head. No scientific calculation, candidate selection or execution follows from this acceptance.

[amaybaum]

Final Stage S source review — ACCEPT at 0efd67a

Current source head: 0efd67a630fc80ac55fde1ca49fe8c5cbdbf10c3, report blob 0c9b055dc1af76fece071b093d6182447389ed7a.

Separate internal reviewer /root/lane_c_review independently confirmed that acceptance carries from 9c89b27d: the only final-child change removes the obsolete review-pending label. Source analysis and the accepted preregistration are unchanged; the actual PR head matches and remains draft/unmerged.

Accepted Stage-S disposition: GAP-SOURCE, limited to GA-1's three audited families. The same-update source package linking the proposed weighted gauge law to a justified state/measure and observable correspondence was not located. Existing conditional non-abelian construction, finite invariant measures and formal covariance results retain their scopes. This is not a general no-go, and operational access is a separate open status.

Fresh ordinary PR CI 41286552998 is pending and is separate from the source-review verdict. No new candidate calculation or scientific execution has occurred. GA★ selection, premise adoption, promotion, F/E, special dispatch and merge remain unauthorized. Other lanes and manuscripts are unchanged.

[amaybaum]

Lane C: owner decision to pause GA★ selection (recorded from chat)

Source: owner (amaybaum), coordinating-session chat, 2026-11-01.

Decision: pause GA★ selection.

• The accepted Stage S report at 0efd67a6 found a scoped GAP-SOURCE.
• There is not yet a justified native source package that selects the proposed gauge dynamics and action.
• Choosing GA★ now would risk turning a conditional mathematical construction into an assumed physical mechanism.

What this means:

• The accepted source audit and the GA-1 preregistration (3874c239) stay as they are.
• No candidate is selected, and no outcome calculation is made.
• The next substantive step is to identify a genuinely native sourcing argument before any GA★ freeze is proposed. That step is not authorized yet.

Writer: the coordinating session, per the handover in comment 6555847491. The owner is separately instructing the previous session to stop all writes to this lane.

Nothing is executed, promoted or merged. #1003 stays draft and unmerged.

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[amaybaum]

Formal hold retired (owner decision, chat 2026-11-03). Formal holds are retired as a scheduling mechanism (#1074, rule 7). This PR enters the ordinary backlog.

• Preserved: head 0efd67a630fc80ac55fde1ca49fe8c5cbdbf10c3 and the existing work, reviews and evidence on this branch. This comment changes nothing on the branch.
• Obligation row: #1074, row LR-YM: gauge/QFT extension, Yang–Mills and the Barandes–Yang–Mills connection (planning; links #1003) #1063 (Gauge/QFT extension, Yang–Mills; the Barandes–Yang–Mills connection). Priority, prerequisites, readiness and authorization for this PR's work are recorded only in that row.
• No permission: this change authorizes no work, execution, integration, publication or claim promotion, and waives no review or CI requirement.
• Earlier statements of this PR's hold, on this PR and elsewhere, are superseded by this comment and are not edited. Any other requirement they state, such as a merge gate, stands.

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Generated by Claude Code

[amaybaum]

Retired without merging (PR-AUDIT-1, #1088). The branch and its commits are kept.

Owner decision (amaybaum, Claude Code session chat, 2026-11-04):

#1003 — GA-1 | Retire to #1063 | Approved. Preserve the branch and Stage S provenance. The Yang–Mills source review remains a future separately authorized unit.

Closing this PR is administrative. It resolves no scientific question, selects no GA★ and changes no status.

• Accountable home: LR-YM: gauge/QFT extension, Yang–Mills and the Barandes–Yang–Mills connection (planning; links #1003) #1063, handoff. It holds the Stage S GAP-SOURCE provenance, the paused GA★ selection, and the Yang–Mills source review as a future unit that needs separate authorization.
• Kept:
  • branch research/oi-constructive-qcd-bridge-20261029 at 0efd67a630fc80ac55fde1ca49fe8c5cbdbf10c3, and refs/pull/1003/head;
  • staging branch research/lane-c-native-action-prereg-20261101 at 3874c239;
  • this PR's discussion, including its review and decision records.
• Not on main: the evidence stays branch-only.

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Generated by Claude Code