R8 line-count ceiling re-cast for Trinity S³AI · Flos Aureus v6.2 (33→98 chapters)

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R8 line-count ceiling re-cast for Trinity S³AI · Flos Aureus v6.2 manifest

Anchor: φ² + φ⁻² = 3 · DOI 10.5281/zenodo.19227877 · defense 2026-06-15
Parent: trios#380 Phase 3 R-RULES AUDIT (lane 3.7)
Audit branch: feat/phd-phase3-rules-audit-3-1 (PR #615)

Finding

Phase 3 task 3.7 (LT line-count gate) reports:

Section	Lines
chapters	25,982
frontmatter	807
appendix	3,316
TOTAL	30,105

Current R8 ceiling (from trios#265 §2.3): ≥7,000 ≤12,000 lines total (≥250 ≤400 PDF pages).

Verdict: R8-CAP-EXCEEDED by 18,105 lines (250%).

Root cause

The R8 ceiling was set in trios#265 for the original 33-chapter target. The unified Trinity S³AI · Flos Aureus v6.2 manifest (trios#380) expanded the work to 98 chapters / 2173 theorems, plus 11 frontmatter files and 12 engineering appendices (App.A..App.J + App.M FPGA + App.N Zenodo).

This is not a regression — it is a known scope expansion documented in trios#380. The R8 cap simply needs re-casting against the new manifest.

Proposed re-cast

Scale R8 proportionally: 12,000 / 33 ≈ 364 lines per chapter. For 98 chapters at the same density:

• R8 (v6.2): ≥20,000 ≤35,000 lines total
• R8 PDF: ≥600 ≤900 PDF pages (Springer LNM upper limit increase per editorial discretion)

Current 30,105 lines lands cleanly in [20,000, 35,000] ✓.

Acceptance

• Update references/audit-checklist.md in phd-monograph-auditor skill to use the v6.2 R8 figures
• Add a R8-tier table mapping chapter count → line ceiling for future expansions (132-chapter dual-author scenario, etc.)
• LT gate in cargo run -p trios-phd -- audit --pagecount reads the new bounds

Falsification (R7)

If a Springer LNM editorial decision rejects ≥600 pages, this re-cast is falsified and the manifest must be split into two volumes. Reproduction: query Springer LNM author guidelines circa 2026-06.

Skills

phd-monograph-auditor v1.2 (LT lane owner) · phd-chapter-author v1.1

Compliance

R5 ✓ (honest disclosure of cap exceedance, no fabricated PASS) · R8 to be re-cast

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✅ Operator sign-off (2026-05-09 02:11 +07)

User explicitly confirmed the proposed R8 ceiling re-cast for the
Trinity S³AI · Flos Aureus v6.2 manifest:

≥ 20 000 lines · ≤ 35 000 lines

This replaces the legacy 33-chapter cap of ≥ 7 000 ≤ 12 000 lines,
which was provably exceeded at 30 105 total lines on
feat/phd-phase3-rules-audit-3-1 (the cap was set for the old
33-chapter target; the new manifest has 98 chapters / 2 173 theorems).

Effective immediately

• Phase 3 lane 3.7 LT flips from 🟡 R8-CAP-EXCEEDED → ✅ PASS under the new cap (30 105 sits comfortably between 20 000 and 35 000).
• The auditor (phd-monograph-auditor v1.2+) and trinity-grandmaster v1.0+ runbooks should refer to this issue as the canonical source for the new R8 bracket until it is folded into the next skill version.

Follow-up (one-line PR target)

crates/trios-phd/src/audit/pagecount.rs (or equivalent) constants
update:

const R8_LINE_FLOOR: usize = 20_000;
const R8_LINE_CEILING: usize = 35_000;

Closing this issue with operator confirmation. Anchor: φ² + φ⁻² = 3 ·
DOI 10.5281/zenodo.19227877 ·
defense T-37 d.