[amaybaum]

Implements the minimum-change retitle of Main's subtitle approved for #1028. Base main at 13ced581d23686b40ca47591c7a9e58003bd7657 (after #1128); head 25c60633b6d694d0356bd454763ceca864ec60e8; one commit.

Authority

Owner decisions, #1028 c.6658424804 (amaybaum, 2026-11-05), on the proposal c.6657997292:

Q1: Keep Main L776 and book/README L17's existing narrow definitions of equivalence. They define a scoped mathematical term and need not reproduce the paper's title.
Q2: Correct the misleading "central theorem and emergent quantum mechanics" description in a separate, bounded editorial unit, with the Zenodo and book mirrors updated consistently.
Q3: Keep papers/main_repro/README.md in the retitle change so the reproducibility package names the paper correctly.
Q4: "Quantum Reconstruction" is acceptable as the title of a research programme and its conditional mathematical results, not as a claim that operational quantum mechanics has been derived from bare OI.

Consolidated: Main retitle: Approve implementing the minimum-change retitle and rebuilding its artifacts, followed by independent review and exact-head CI. Keep L776 and book/README L17 unchanged for this unit. Keep main_repro/README in scope. Correct the Zenodo/book overstatement separately. Present the resulting SHA for merge approval.

Reading of the new title (Q4). "Quantum Reconstruction" names the research programme and its conditional mathematical results. It does not claim that operational quantum mechanics has been derived from bare OI; Main's own scope statements (L218, L358, L776) are unchanged and continue to say what is and is not established.

Scope

Each source change replaces only the string "The Equivalence of Quantum Mechanics and Embedded Observation" with "Finite-Observer Representations and Quantum Reconstruction". The main title "THE INCOMPLETENESS OF OBSERVATION" and the "The Incompleteness of Observation:" prefix of each reference entry are kept. The five source lines are byte-identical to the proposal's diff (only the Introduction line number moved, L375 → L370, after #1128).

Class	Site	Disposition
source	papers/Main.md L2 (subtitle)	changed
source	papers/Introduction.md L370 [Main] entry	changed
source	papers/Methodology.md L585 [Main] entry	changed
source	papers/Structure.md L1414 [Main] entry	changed
mutable README	papers/main_repro/README.md L1 heading	changed (owner Q3)
derived	papers/{Main,Introduction,Methodology,Structure}.{tex,pdf}	regenerated by build.sh
body definition	papers/Main.md L776 ("the phrase equivalence of quantum mechanics and embedded observation has a precise theorem-level meaning")	unchanged (owner Q1)
book prose	book/README.md L17	unchanged (owner Q1)
description	.zenodo.json, book/bibliography.md L9, FULL L6765 "central theorem and emergent quantum mechanics"	unchanged here; separate bounded unit (owner Q2)
mutable records	verification/audits/manuscript/bell-operational-reconciliation-20261029/sc42-intended-sites.json L100; verification/audits/manuscript/post982-minimum-diff-20261030/HUNKS-PAPERS-B.md L41	unchanged: they pin or quote the L776 body sentence, which is untouched

Re-grep at the base (git grep -i "equivalence of quantum mechanics and embedded") matched the proposal's hit list exactly. After the change, case-insensitive survivors are only Main.md L776 (and its Main.tex rendering at L5568), book/README.md L17 and the two audit records above. The new string occurs once in each of the five changed sources.

Rebuild

sh ./build.sh Main Introduction Methodology Structure: build: OK, 0 dropped glyphs.

Paper	Pages (base → head)
Main	100 → 100
Introduction	31 → 31
Methodology	53 → 53
Structure	99 → 99

Each .tex differs from main only in the title or reference line(s) and the trailing % source-sha256: stamp. Main's heading anchor becomes finite-observer-representations-and-quantum-reconstruction; nothing in the repository links to the old anchor. pdftotext finds the new subtitle once in each of the four PDFs and the old phrase only in Main's L776 body sentence.

Checks (local, on this head)

Check	Result
tools/proof_census.py --json	byte-identical before/after (no ledger id, fingerprint or line change)
coverage_check	OK (140 canonical statements)
staleness_check	OK (14 matched, 0 unstamped)
duplicate_check	OK
voice_check / voice_scope_test	OK / OK
claims_check	OK
lean_manuscript_census	OK (no registry change needed, §A.35)
artifact_placement_check	OK
dependency_label_check --strict	OK
papers/oi_lattice_code/{mirror,citation,architecture}_check.py	OK (0 FULL gaps; 112 citations, 0 broken; 264 invariants, 0 violations)
SC-42 check_sc42_integration.py --verbose	PASS; stdout byte-identical to committed sc42-integration-result.json; --self-test byte-identical to committed sc42-integration-controls.json
legacy_records_check / citation_roles_check	UNDECIDABLE locally (shallow clone); these full-history gates run in CI

No push-triggered workflow matches this branch (the path-filtered ones watch verification/ subtrees; the others run on main only). No dispatch was made.

Status

Draft. Next: independent review and exact-head CI on 25c60633. Merge not authorized.

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[amaybaum]

Independent review of 25c60633b6d694d0356bd454763ceca864ec60e8: ACCEPT

Scope of this review. Read-only. I worked in my own full clone (not shallow, no alternates) of head 25c60633 against base 13ced581. The authority I checked against is the owner decisions in #1028 c.6658424804, which I read at the source; the PR body quotes them accurately. I made no commits, pushes or dispatches.

1. Scope: the diff is exactly what the owner approved

• git log 13ced581..25c60633 shows one commit, and its parent is 13ced581. git diff --stat lists 13 files, +17/−17:
  • the five sources:
    • papers/Main.md L2;
    • the [Main] entries at Introduction.md L370, Methodology.md L585 and Structure.md L1414;
    • papers/main_repro/README.md L1;
  • the rebuilt .tex/.pdf of Main, Introduction, Methodology and Structure.
• Each source hunk changes only the subtitle string. "The Equivalence of Quantum Mechanics and Embedded Observation" becomes "Finite-Observer Representations and Quantum Reconstruction". The "THE INCOMPLETENESS OF OBSERVATION" heading and each entry's "The Incompleteness of Observation:" prefix are unchanged. The new string occurs exactly once in each of the five sources.
• Sites the owner kept are untouched. Main L776 is unchanged. Nothing under book/ changed, so book/README.md L17 is unchanged. .zenodo.json and the book descriptions are untouched, which matches Q2 (a separate unit).
• Other [Main] entries need no change. The entries in GR L895, SM L1670 and Substratum L592 cite the main title only, with no subtitle.

2. Whole-corpus re-grep for the old subtitle

I ran a case-insensitive git grep at the head for the old subtitle and its variants ("equivalence of quantum", "Mechanics and Embedded", "and Embedded Observation", the old \label/hypertarget slug, and forms wrapped across lines in the .tex files). All .pdf files were scanned separately with pdftotext. Every remaining hit is one the owner kept, or a record that quotes that kept sentence:

Hit	Classification
papers/Main.md L776	the body definition the owner kept (Q1)
papers/Main.tex L5568 and Main.pdf	the rendering of L776; the only PDF hit anywhere is this sentence
book/README.md L17	the book prose the owner kept (Q1)
verification/audits/manuscript/bell-operational-reconciliation-20261029/sc42-intended-sites.json L100	the SC-42 anchor that pins the L776 sentence, which is unchanged; the SC-42 checker still passes (§4)
verification/audits/manuscript/post982-minimum-diff-20261030/HUNKS-PAPERS-B.md L41	a historical hunk table that quotes L770 at pinned commits 986dab5a and f6989a27; it is a correct record of history and must not be edited

No other surface (README, .zenodo.json, the Explainer, the book, CITATION files) carries the old subtitle. Nothing links to the old anchor the-equivalence-of-quantum-mechanics-and-embedded-observation.

3. Rebuild

I ran sh ./build.sh Main Introduction Methodology Structure in my clone (pandoc 3.1.3): build: OK, with no Missing character lines in the log.

Paper	Pages	.tex vs committed	pdftotext -layout vs committed
Main	100	byte-identical	identical
Introduction	31	byte-identical	identical
Methodology	53	byte-identical	identical
Structure	99	byte-identical	identical

• .tex against main. The diffs touch only the title or [Main] reference lines (plus Main's \hypertarget/\label slug) and the trailing % source-sha256: stamp.
• PDF text against main. pdftotext differences are confined to the subtitle line (Main) and the [Main] entry lines (Introduction 1366–1367, Methodology 2349–2350, Structure 4411–4412).

4. Checks, run on full history at the head

Check	Result
legacy_records_check.py 25c60633	exit 0; 303 records in 75 closed namespaces, all intact. The PR body marked this UNDECIDABLE because it was run on a shallow clone; it is decided here.
citation_roles_check.py 25c60633	exit 0; self-test OK, 0 manifests, all hold. Also undecided in the PR body; decided here.
coverage_check	OK (140 canonical statements)
staleness_check	OK (14 matched, 0 unstamped)
duplicate_check, voice_check, claims_check	OK
lean_manuscript_census	OK (25 current families)
artifact_placement_check	OK
SC-42 check_sc42_integration.py --verbose (with ca3a5bb2 fetched, as CI does)	exit 0. Stdout is byte-identical to the committed sc42-integration-result.json and to the -O run. --self-test is byte-identical to the committed sc42-integration-controls.json.
tools/proof_census.py --json	byte-identical at 13ced581 and at 25c60633 (119,827 bytes)

The added lines contain no §A.32/§A.33 phrase-family or caps-emphasis hits (they are title strings only).

5. Scientific wording

• The new title is consistent with Main's abstract and conclusion.
  • "Finite-Observer Representations" matches the proved core: the exact finite-horizon $S\iff D\iff Q_{\mathrm{fb}}$ representation of a finite embedded observer's laws.
  • "Quantum Reconstruction" matches two things in Main:
    • the fixed-basis and ancilla-marginal reconstruction of a quantum description from visible data (§3.1);
    • the operational-reconstruction route of §3.2 (L358), which Main presents as target conditions with an outstanding bridge.
  • The title is a noun phrase naming the topic. It asserts no completed derivation of operational QM from bare OI. The abstract, L218, L358 and L776 still state the five completion conditions "none supplied by bare finite OI". This is the reading the owner gave in Q4.
  • Advisory, not a change request: "quantum reconstruction" is also a term of art (Hardy; Masanes–Müller; Chiribella–D'Ariano–Perinotti) for deriving full QM from operational axioms. Main's L358 says explicitly that it does not discharge that for an exact operational completion, so the body guards against that reading. The owner accepted the title on that basis.
• The retained L776 sentence: a minor reader-orientation point, not a blocker. Under the old subtitle, "the phrase equivalence of quantum mechanics and embedded observation" and "rather than hidden in the slogan" pointed back at the paper's own title.
  • At the head, that phrase appears nowhere else in Main, and "the slogan" has no antecedent in Main.
  • A reader who has not seen the old title may wonder which phrase and which slogan are meant. The sentence remains grammatical and its content is correct: it reads as defining a scoped term, which is the owner's Q1 rationale.
  • I report this for the owner's awareness only. Q1 deliberately keeps L776 unchanged in this unit, and editing it would go beyond the approved scope. If it is ever revisited, it would belong with the separate Q2 editorial unit, by owner decision.
  • book/README.md L17 ("rather than as a slogan") has the same property in the book context.

6. CI and merge state

• Run. verify run 42031160741 (event pull_request, head_sha 25c60633) is completed.
  • 25 jobs succeeded, including Lean kernel check, Mathlib bridge (Release gate step green), Numerical probes / core B (SC-42 step green) and the aggregate Numerical probes.
  • 1 skipped: the matrix placeholder A42 exclusion (${{ matrix.part }}).
• Merge state. mergeable_state: clean; the PR is still a draft.
• Exact-head note. This is a pull-request run, so it tested a synthetic merge. The base is still 13ced581, which is the head commit's only parent, so that merge has the same tree as 25c60633. No workflow_dispatch was made, and I made none.

Verdict: ACCEPT

• The change is the approved minimum-change retitle: five string substitutions plus the regenerated artifacts.
• The artifacts reproduce byte for byte.
• All gates are green on full history, and no claim, status, ledger or census entry moves.
• The L776 orientation point above is advisory and within the owner's Q1 decision.
• Merge remains subject to the owner's separate approval.

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[amaybaum]

Merge record.

• Merge commit: d9f0a845e38457291041e0753236d6336b299eec, a normal merge with expectedHeadSha 25c60633. The owner's approval is quoted on Correction planning: scientific overclaims and status corrections (from the 2026-11-01 disposition) #1028 (c.6658966057).
  • Parents: 13ced581 (main) and 25c60633 (the reviewed head).
  • The merge tree equals 25c60633's tree.
  • The net change is five subtitle strings (Main, Introduction, Methodology, Structure and main_repro) plus the rebuilt .tex/.pdf of those four papers. Main L776 and book/README.md L17 are unchanged, per the owner's decision.
• Review and PR CI: review ACCEPT (c.6658812510); PR CI run 42031160741 green.
• main CI: push run 42034413954 on d9f0a845 concluded success. It covers:
  • the Mathlib bridge release gate, including its legacy-records step (303 legacy records intact);
  • the Lean kernel check;
  • every probe shard.

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