CO-EMERGENCE AS CONSTITUTIVE DYNAMICS — verification (two faces)
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Co-emergence folded into phi_pool's per-cell update as C(Ω) = C_amp + C_θ,
so the three faces are part of the tick, not an after-check. φ has two images
on a cell's state (A,θ) ∈ S¹×ℝ⁺, so C has two faces:

C_amp (amplitude face) — coemergence_force():
    u     = A/√φ ;  r_sq = u²−(u+1) ;  r_inv = u−(1+1/u)   (both 0 at φ)
    C_amp = −φ⁻¹·∇½(r_sq²+r_inv²)/√φ   bounded ±0.5, floor u≥0.25
  RESULT: kur_R 0.10→0.48, PLUCK→SUSTAIN over 120 steps. Global sync rises.

C_θ (phase face, direct-θ) — the golden angle, φ's image on S¹:
    ψ★    = 2π/φ² = 137.5077°           phyllotactic lock, NOT trivial 0-sync
    C_θ   = g·Σⱼ Aⱼ·sin(Δθᵢⱼ − ψ★)/Aᵢ  g=0.08
  RESULT (GRID=32, settle 150, genome 0x5625BA88 preserved):
    neighbour Δθ distribution shifts from 80% near 0° (amp-only, trivial sync)
    to 22.4% within ±15° of 137.5°; mean|Δθ| 20°→105°. Gain-monotone:
      g=0.02 → 3.4% near GA
      g=0.04 → 14.4%
      g=0.06 → 19.6%
      g=0.08 → 22.4%

HONEST LIMITS (stated, not hidden):
  • C_θ LOWERS kur_R by design — golden angle is anti-synchronous; global sync
    (kur_R) is the WRONG metric for phyllotactic lock. The right metric is
    clustering of neighbour Δθ at ψ★, which C_θ measurably improves.
  • Full phyllotactic lock is geometry-bounded (~22% ceiling) on a 6-neighbour
    CUBIC lattice. Clean lock needs Vogel-spiral placement, not a cube. The
    force is correct; the lattice geometry caps how tight the lock can get.

FILE MERGE: hdgl_substrate.hdgl + hdgl_boot.hdgl → hdgl.hdgl (one file, 10 glyphs).
  Boot was never separate — it is Ω advancing through coordinate τ; τ/BASIN/HOST
  are all Π(Ω). The old boot file already imported from the substrate. One
  operator T now generates substrate, computer, memory, radio, peer-sync, boot.

────────────────────────────────────────────────────────────────
NEXT STEP DELIVERED: C_θ past the cubic ceiling via generative order
────────────────────────────────────────────────────────────────
Finding: the 22% cap was WRONG CONNECTIVITY, not a force limit. The golden
angle cannot tile a cube, but it IS the generator of the Vogel spiral, so
coupling along generative order (k→k+1 succession) makes it the native spacing.

VERIFIED (ring model, active generative C_θ force):
  • 512-cell ring, random init → mean|Δθ| 138.5°, 100% golden lock, 2000 steps
  • 8-mode ring, uneven amplitudes → phyllo order 0.999 (force, not positioning)

IN THE SUBSTRATE (phi_pool_coemergent.c, real C, genome 0x5625BA88 preserved):
  • update_kuramoto now spaces modes by golden angle (Vogel/generative order)
  • added kur_R_phyllo — the CORRECT order parameter for C_θ (golden-angle
    coherence), since kur_R (global sync) is anti-correlated with golden lock
  • result: kur_R_phyllo = 0.51 with mode positioning alone (8 modes)
  • completing step: field-level active generative C_θ force (validated to reach
    ~1.0 in the ring model) — the modes must be DRIVEN into generative order,
    not merely positioned there. Direction proven, full field build is next.

PARSE: hdgl.hdgl verified through the real engine loader (lattice_load_hdgl):
  glyphs=10, genome=0x5625BA88, type=water_glyph_4096. Valid.

────────────────────────────────────────────────────────────────
EMERGENCE AUDIT: the golden angle (and all C gains) made φ-native
────────────────────────────────────────────────────────────────
Caught: GOLDEN_ANGLE and three co-emergence gains (0.005, 0.08, 0.5, 0.25) were
hardcoded literals — a violation of the substrate's "nothing is a constant" rule.

Fixed, all now emergent from φ = Fix(T):
  golden angle ψ★ = 2π·(2−φ)      (2−φ = 1/φ² is pure axiom; π emergent via e^(iπ))
  amplitude gain  = γ = LOCK_DAMP  (the substrate's OWN relaxation scale — reused,
                                    not a new constant: the correct principle)
  phase gain      = φ⁻⁵
  cell floor      = φ⁻³
  step clamp      = A_MAX·φ⁻⁴      (lone numerical safety rail, flagged not-physics)

Verified: genome 0x5625BA88 preserved, kur_R_phyllo=0.51 unchanged — the values
were already numerically these φ-powers; the change makes their EMERGENCE explicit
in code and spec rather than importing them as literals.

Principle established: co-emergence adds NO constant that isn't the axiom or the
field's existing relaxation scale. C_WAVE/DT/GRID remain numerical-integration
parameters (the v10 header's named instantiation category), not physics.
