feat(corpus): enrich CS-04 + CS-05 + CS-06 — Arc 2 Physics (manuscript-grounded)

[ThorFuchs]

Summary

Phase 2 Arc 2 of the v4 Construction Spine enrichment briefing. Manuscript-grounded augmentation of the three Physics-arc step pages — drawing deeply on Books III + IV + V source content (deep read of 11 high-leverage parts).

Companion logbooks merged in corpus#26 (private repo) — ~2,000 lines of source-extraction trail.

CS-04 Identify Physical Carrier (175 → 288 lines)

• §1 expanded: Book III-grounded obligations (4+1 template, Langlands₀, spectral algebra at E₀, Hinge Theorem, No Knobs, Global Cartesian Gluing, Eight Guarantees).
• §2 (NEW): 5 challenges with hidden externalities (no spacetime, locality+globality, no physics vocabulary, carrier-vs-content, earned 3+1).
• §3 reframed + 4 manuscript-grounded subsections:
  • 4+1 Sector Template (Book III Part II) — five generators induce decomposition; Parity Bridge Theorem; No Knobs Principle.
  • Spectral Algebra at E₀ (Book III Part III) — CRT, Hensel lifting, primorial ladder, spectral trichotomy III.T14, computable classifier Label_n.
  • The Hinge Theorem (Book III Part VII; III.T20) — every Books IV-VII result is a sector instantiation of Book III; No Knobs Ledger.
  • Where Physics Lives — Global Cartesian Gluing (Book III Part VIII; III.T21) — τ³_R → ℝ³; 3+1 spacetime signature earned; Eight Guarantees (Spatial/Harmonic/Regular/Discrete/Legible/Codable/Coherent/Predictive).
• §4 (NEW): admissibility under no-externalities; step gluing to CS-05/06/07/08-10.

CS-05 Recover Internal Physical Grammar (180 → 304 lines)

• §1 expanded: Books IV-V-grounded obligations.
• §2 (NEW): 5 challenges (define-internally, dimensional consistency, sharp bridge boundary, no SI primitive, fiber/base separation).
• §3 reframed + 7 manuscript-grounded subsections:
  • Joint Core (Book IV Part I) — vacuum → neutron → β-decay → hydrogen ontic sequence; α = (121/225)·ι_τ⁴ at 9.8 ppm.
  • QM as Address Obstruction (Book IV Part II).
  • Four sector arcs at E₁ (Book IV Parts III-VII).
  • Time from τ¹ (Book V Part I) — proper time as geodesic arc length; time arrow = α-orbit direction; bounded time; Hubble parameter as orbit-depth readout.
  • Gravity Earned (Book V Part II) — gravity as fourth primitive holonomy sector; G = (c³/ℏ)·ι_τ²; τ-Einstein equation as boundary-character identity; Lorentz Without Minkowski V.T14; classical G_μν = (8πG/c⁴)·T_μν as chart shadow; gravitational closing identity α_G = α¹⁸·√3·(1 − (3/π)·α).
  • Thermodynamic Inversion (Book V Part III).
  • Hermetic Principle — fiber T² + base τ¹ exhausts τ³ and therefore exhausts all E₁ physics.
• §4 (NEW): admissibility; step gluing to CS-06/07/09.

CS-06 Measurement, Prediction, and Empirical Bridges (188 → 276 lines)

• §1 expanded: Book IV Part VIII + Book V-grounded obligations.
• §2 (NEW): 5 challenges (calibration anchor, SI as theorem, predictions-vs-fits auditable, explicit falsification, no overclaiming).
• §3 reframed + 5 manuscript-grounded subsections:
  • Constants Ledger and Complexity Summit (Book IV Part VIII Ch65-71) — ten inter-sector couplings as rational functions of ι_τ; running-vs-readout distinction (τ³ has no RG flow); 10-link mass ratio chain R = m_n/m_e to sub-ppm; neutron lifetime as crown of calibration cascade; "One dimensional parameter. Zero free dimensionless constants. The entire microcosm."
  • Cosmic Stack API (Book V Part I Ch 8-10).
  • Astrophysical and Cosmological Readouts (Book V Parts IV-VI).
  • Decisive Falsification — CMB-S4 r ≈ ι_τ⁴ ≈ 0.0136 (~2030).
  • Falsification ledger partner with /verify/predictions-and-falsification/.
• §4 (NEW): admissibility — empirical accountability distinct from internal semantic physics; bridge status sharp.

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 III-V summaries.
• ✅ Gate C Non-overclaiming — "What this step does not yet establish" + bridge status handoffs.
• ✅ Gate D Traceability — 70+ specific source anchors across the 3 pages.
• ✅ Gate E Coherence — §4 explicitly enumerates step gluing forward.

Verification

• ✅ `bundle exec jekyll build` → exit 0 (done in 157s).
• ✅ 4 briefing-required H2 sections render per page (12 total, all with TOC anchors).
• ✅ 0 voice-discipline violations across all 3 pages.

Arc 2 status — awaiting user review

Arc 2 (Physics) ships as the second of three checkpoint waves. After this PR lands, please review the merged pages on the live site:

• https://panta-rhei.site/corpus/construction-spine/identify-physical-carrier/
• https://panta-rhei.site/corpus/construction-spine/recover-internal-physical-grammar/
• https://panta-rhei.site/corpus/construction-spine/measurement-empirical-bridges/

Once approved, Arc 3 (Life + Metaphysics; CS-07 + CS-08 + CS-09 + CS-10; Books VI-VII) launches with the same manuscript-grounded approach.

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