PASS-9 R5-honest deep-sweep — image-gate root-fix + broken refs

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PASS-9 R5-honest deep-sweep — image-gate root-fix + broken refs

Follow-up to PASS-8 (#762, PR #763 still open). PASS-9 ran a deeper 10-dimension audit and discovered that PASS-8's A7 "architectural observation" was actually a fixable critical anomaly plus several broken \ref/\eqref calls in the PhD monograph.

Anomalies discovered

ID	Severity	Class	Files
A8	🔴 CRIT	image-gate root cause	44 unique \includegraphics{...} references in docs/phd/{chapters,appendix}/*.tex resolve to zero PNG files on main. All 44 expected filenames (ch01-introduction.png..ch34-energy-3000x-darpa.png + app-a-cover-abstract.png..app-j-troubleshooting.png + cover_v4.png) exist as exact matches on origin/feat/illustrations. PASS-8 mis-diagnosed this as architectural — the actual fix is mechanical: cherry-pick the 44 PNG files. Tectonic silently drops missing graphics (no compile error).
A9a	🔴 HIGH	broken \ref	docs/phd/chapters/ch_35_mesh_node.tex:524 — \ref{ch:appendix-B-falsification} points to a label that does not exist; correct label is app:falsification (defined in appendix/B-falsification.tex).
A9b/c/d	🟡 MED	broken \eqref	docs/phd/appendix/D-golden-mirror.tex — \eqref{eqn:D0} (3 sites), \eqref{eqn:D1} (2 sites), \eqref{eqn:D2} (2 sites) point to non-existent equation labels. The appendix contains zero \begin{equation} environments, so the labels can never resolve. The mentions are conceptual anchors, not numbered equation back-references.
A9e	🔴 HIGH	broken theorem ref	docs/phd/chapters/ch_35_mesh_node.tex lines 485, 494, 535 — \ref{thm:gf16-kart} describes a theorem in "Ch.12, §5", but Ch.12 explicitly declares "Theorems in chapter: 0" and has no thm:gf16-kart label anywhere in the monograph. The local theorem thm:mru-kart (line 471 of same file) is the actual MRU-KART theorem referenced in surrounding prose.

R5-honest audit probes

• ✅ Community trinity-s3ai: 12 records live, all HTTP 200
• ✅ All 12 canonical DOIs HEAD 200 (re-verified PASS-9)
• ✅ \input/\include chain: every referenced frontmatter/chapter/appendix file exists
• ✅ .bib files: zero duplicate citekeys, zero placeholder DOIs (post-PASS-8 fixes hold)
• 🔴 \ref ↔ \label consistency probe → A9a, A9b, A9c, A9d, A9e
• 🔴 Full \includegraphics ↔ PNG inventory probe → A8 (44/44 missing on main, 44/44 present on feat/illustrations)

Fix plan (companion PR)

1. A8: git checkout origin/feat/illustrations -- assets/illustrations/<f>.png for the 44 referenced files only. Adds the PNGs to main without bringing in unrelated commits from the parallel branch. PASS-8's A7 observation in PASS-8 R5-honest deep-sweep — Appendix F→M rename completion + image-gate #762 is superseded and closed by this fix.
2. A9a: \ref{ch:appendix-B-falsification} → \ref{app:falsification} (1 site).
3. A9b/c/d: replace each \eqref{eqn:DX} with the inline anchor expression or rephrase ("the mirror formula" / "the mirror product formula" / $\varphi^2+\varphi^{-2}=3$). Fixes 7 broken references total in D-golden-mirror.tex.
4. A9e: \ref{thm:gf16-kart} → \ref{thm:mru-kart} (3 sites); update misleading "(Ch.~12, §5)" prose to "(this chapter)" since mru-kart is local to ch_35.

Cross-refs

• Throne: 👑 TRINITY HIVE — Queen's Registry & ONE SHOT Dispatch #264
• PASS-8 predecessor: PASS-8 R5-honest deep-sweep — Appendix F→M rename completion + image-gate #762 (issue), chore(zenodo): PASS-8 Appendix F→M rename completion + image-gate #763 (PR, OPEN)
• PASS-7 predecessor: chore(zenodo): PASS-7 R5-honest — RAG chunks, App.H→App.N, image-gate #757 (PR, merged 3bd9536)
• Companion PASS-9 PR in trinity-fpga: A10 (CITATION.cff rewrite)
• Companion PASS-9 commit in t27: A11 (CITATION.cff DOI field)
• Single source of truth: https://zenodo.org/communities/trinity-s3ai/

φ² + φ⁻² = 3 · TRINITY · R5-HONEST · PASS-9