feat(corpus): enrich CS-07 + CS-08 + CS-09 + CS-10 + End-to-end construction view (Arc 3 — final)

[ThorFuchs]

Summary

Phase 2 Arc 3 of the v4 Construction Spine enrichment briefing — the closing arc. Manuscript-grounded augmentation of the four Life+Metaphysics-arc step pages drawing deeply on Books VI + VII (deep read of 9 high-leverage parts). Plus a new End-to-end construction view section on the construction-spine root index gluing all 10 steps into three arcs.

Companion logbooks merged in corpus#27 (~3,000 lines) — 4 per-step logbooks + cross-step synthesis log auditing all 10 steps.

CS-07 Recover Life as a Structural Class (176 → 285 lines)

• §1 expanded: Book VI-grounded obligations.
• §2 (NEW): 5 challenges with hidden externalities.
• §3 reframed + 7 manuscript-grounded subsections:
  • τ-Distinction ∧ SelfDesc — life's two predicates (Book VI Part I)
  • Layer Separation Lemma (VI.T02) — life genuinely E₂, non-reducible to physics
  • Parity Bridge Theorem (VI.T03) — weak sector parity violation seeds self/non-self distinction
  • 4+1 sector template at E₂ — Archaea / Bacteria / Plants / Fungi / Animals
  • Life Loop Class — metabolism as structural loop
  • Seven Hallmarks as theorems (VI.T05–T11)
  • Predictions by Absence (VI.T15) — virus / neutron / neutron star classified as non-life
  • Bridge to E₃ — consciousness as SelfDesc²; ω-germ science–faith boundary
• §4 (NEW): admissibility; step gluing to CS-08/09/10.

CS-08 Recover Reflective Structure (174 → 294 lines)

• §1 expanded: Book VII-grounded obligations.
• §2 (NEW): 5 challenges.
• §3 reframed + 8 manuscript-grounded subsections:
  • Four-register model E/P/D/C — canonical reasoning architecture
  • 4+1 sector template at E₃ — S_E / S_D / S_P / S_C / S_L
  • Saturation Theorem (VII.T01) — `Enrich⁴ = Enrich³`
  • Canonical Ladder Theorem (VII.T02)
  • Logic as scale-dependent (VII.T20)
  • Minds as internal topoi (VII.D90) — self-models with story functors
  • Categorical Imperative as fixed point (VII.T30)
  • Archetypes + synchronicity + bounded Gödel/halting
• §4 (NEW): admissibility; step gluing to CS-09/10.

CS-09 Self-Host Formal Systems (179 → 258 lines)

• §1 expanded: Book I Part XVIII + Book VII Part X-grounded obligations.
• §2 (NEW): 5 challenges.
• §3 reframed + 7 manuscript-grounded subsections:
  • Proof-Theoretic Mirror foundation
  • ZFC as object theory (VII.D85)
  • Lean-like kernels as object theories (VII.D86)
  • τ-kernel as represented object (VII.D87)
  • Proof-as-act + Logos sector (VII.D80, VII.T80)
  • Computation-as-process
  • Boundary collapse lemma (VII.T81) — preview of CS-10
• §4 (NEW): admissibility; step gluing to CS-10.

CS-10 Test Ontic Closure (179 → 292 lines)

• §1 expanded: Book VII Parts II/IX/X-grounded obligations.
• §2 (NEW): 5 challenges.
• §3 reframed + 7 manuscript-grounded subsections:
  • Categorical Ontology — relations precede relata
  • Inevitability Argument (VII.T55) — six ontic requirements converge uniquely to τ
  • Metaphysical Problem Map (~17 problems classified resolved/reframed/open)
  • Three-layer solipsism resolution
  • Non-dualistic Platonism
  • ω-uniqueness (VII.T60) — "there can be only one"
  • Boundary collapse lemma (VII.T81) — structural climax
  • Closing question — what am I willing to live as true? — hands off to reader's commitment register
• §4 (NEW): full audit of all 9 prior steps under no-externalities discipline.

End-to-end construction view (NEW on root index)

`/corpus/construction-spine/` now carries a new section that glues all 10 steps into three manuscript-grounded arcs:

• Arc I — Mathematics (CS-01-03; Books I-II): kernel + recovery + self-enrichment + Categoricity.
• Arc II — Physics (CS-04-06; Books III-V): carrier + grammar + measurement bridges.
• Arc III — Life and Metaphysics (CS-07-10; Books VI-VII): life + reflection + self-hosting + closure.

Closing pattern:

One algebraic seed (ι_τ); one empirical anchor (m_n); zero free parameters; one categorical kernel that hosts itself.

Quality Gates (briefing §12)

• ✅ Gate A Source sufficiency — every claim cites a manuscript Part + Theorem ID.
• ✅ Gate B Non-duplication — pages are hinge layer, not Books VI-VII summaries.
• ✅ Gate C Non-overclaiming — "What this step does not yet establish" + bridge status handoffs.
• ✅ Gate D Traceability — 80+ specific source anchors across the 4 pages.
• ✅ Gate E Coherence — End-to-end construction view documents the full chain; cross-step synthesis log audits forward gluing.

Verification

• ✅ `bundle exec jekyll build` → exit 0 (done in 162.766s).
• ✅ 4 briefing-required H2 sections render per page.
• ✅ 0 voice-discipline violations across all 4 pages.
• ✅ End-to-end construction view renders on root index (2 hits: heading + TOC).
• ✅ `python3 scripts/check_hardcoded_release_numbers.py .` → clean.

Final Construction Spine close-out

This PR closes the v4 Construction Spine enrichment. All 10 step pages now carry the briefing's canonical 4-section narrative + manuscript-grounded subsections + supporting tables. The spine reads end-to-end as one construction chain.

Live URLs:

• https://panta-rhei.site/corpus/construction-spine/recover-life/
• https://panta-rhei.site/corpus/construction-spine/recover-reflective-structure/
• https://panta-rhei.site/corpus/construction-spine/self-host-formal-systems/
• https://panta-rhei.site/corpus/construction-spine/test-ontic-closure/
• https://panta-rhei.site/corpus/construction-spine/ (root with new End-to-end view)

🤖 Generated with Claude Code