feat(phd): flos_74 full LaTeX body · R-marker cells + 4 yet-to-be-measured constants · phi^2+phi^-2=3

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flos_74 Full LaTeX Chapter Body

Chapter: Trinity DNA: Three-Strand Integration & TRI NET DePIN (Ch. 74)
Issue: closes #816
Author: Vasilev Dmitrii admin@t27.ai

Summary

Full LaTeX body converted from flos_74_OUTLINE.md (commit 2edc4cd).

• Line count: 1899 lines (≥1700 required ✅)
• Citations: 17 bibliography entries with real DOIs ✅ (≥2 required)
• Theorems: 5 numbered theorems with proofs (≥1 required ✅)
  • Thm 74.A: Braid Consistency
  • Thm 74.B: Gate Soundness
  • Thm 74.C: Open Sovereignty Closure
  • Thm 74.D: Token Supply Encodes Trinity Identity
  • Thm 74.E (R-Marker Falsification Soundness): any R-marker cell with measurement_pending=false requires a witness DOI
• Lemmas: 7 named lemmas with proofs

R-Marker Cells (Theme)

Four Sacred ROM cells baked with measurement_pending: true:

Gate	Constant	ROM idx	Domain
G-77	C_quantum_consciousness (≈ φ⁻¹)	68	BIO→SI
G-78	tau_microtubule (≈ 25 ms)	69	BIO→SI
G-79	k_dark_coupling (Λ-CDM gate)	70	PHYS→SI
G-80	zeta_neural_zeta (Riemann ζ on cortical eigenvalues)	71	BIO+PHYS→SI

Coq Citation Map

Two rows referencing trinity-fpga commits:

• Commit 6e553ae: rtl/L0/r_markers.json
• Commit 1c960c1: docs/R20_R_MARKER_FALSIFICATION.md

Rules Satisfied

R3 ✅ · R5 ✅ · R6 ✅ (zero free parameters) · R7 ✅ (falsification table) · R12 ✅ (Lee/GVSU style) · R14 ✅ · R15 ✅ · R16 ✅ · R17 ✅ · R18 ✅ · R20 ✅

Anchor

phi^2 + phi^-2 = 3 · DOI 10.5281/zenodo.19227877