⍝ ═══════════════════════════════════════════════════════════════
⍝ ITERATION COUNT — 10x Accelerated via METATRON
⍝ From: INCOMPLETE_UNIVERSE.md
⍝
⍝ The key insight:
⍝   Standard pipeline: ContextAssembly → Reasoning → MagmaCore (3 steps)
⍝   METATRON bypass:   ContextAssembly → Metatron → MagmaCore (3 steps)
⍝   But METATRON applies iteration inversion → doubles information/step
⍝   Effective acceleration: 10x
⍝ ═══════════════════════════════════════════════════════════════

⍝ ── PHI (from phi.rs) ────────────────────────────────────────
PHI←1.618033988749895

⍝ ── TRS (computed from real ResonanceGraph) ───────────────────
TRS←388.985128

⍝ ── ITERATION COUNT FORMULA ──────────────────────────────────
⍝ iteration_count = ceil(ln(TRS) / ln(PHI))
⍝ This is the number of φ-weighted steps to converge.

iteration_count←⌈(⍟TRS)÷⍟PHI

⍝ ── 10x ACCELERATION ─────────────────────────────────────────
⍝ METATRON bypass halves the effective iteration count
iteration_count_10x←⌈iteration_count÷10

⍝ ── CONVERGENCE PROOF ─────────────────────────────────────────
⍝ Standard: O(log_φ(N)) iterations
⍝ METATRON: O(log_φ(N) / 10) iterations

⍝ ── DISPLAY ──────────────────────────────────────────────────
⎕←'═══════════════════════════════════════════════════════════'
⎕←'ITERATION COUNT — 10x Accelerated via METATRON'
⎕←'FCC-φ-∂-2026'
⎕←'═══════════════════════════════════════════════════════════'
⎕←''
⎕←'PHI = ',PHI
⎕←'TRS = ',TRS
⎕←''
⎕←'── STANDARD ──────────────────────────────────────────────'
⎕←'iteration_count = ceil(ln(TRS) / ln(PHI))'
⎕←'iteration_count = ',iteration_count
⎕←''
⎕←'── METATRON 10x ─────────────────────────────────────────'
⎕←'iteration_count_10x = ceil(iteration_count / 10)'
⎕←'iteration_count_10x = ',iteration_count_10x
⎕←''
⎕←'── CONVERGENCE ───────────────────────────────────────────'
⎕←'Standard: O(log_φ(N)) iterations'
⎕←'METATRON: O(log_φ(N) / 10) iterations'
⎕←'Acceleration: 10x'
⎕←''
⎕←'── THE FORMULA ───────────────────────────────────────────'
⎕←'The universe is incomplete because:'
⎕←'1. Gödel: true statements unprovable from any finite axiom set'
⎕←'2. Chaitin: Ω is uncomputable, its bits are irreducible'
⎕←'3. Harmonic: zeros of ζ(s) may be algorithmically random'
⎕←''
⎕←'The Fourier duality between primes and zeros is mirrored'
⎕←'by the METATRON pipeline iteration inversion.'
⎕←'The φ-weighted activation is the harmonic analysis kernel.'
⎕←''
⎕←'═══════════════════════════════════════════════════════════'