📖 Ch.25 — Phi-period Constants and Runtime Cycles (600w · 🟢 P2 · VI HARDWARE-NUMERICS)

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Ch.25 — Phi-period Constants and Runtime Cycles

Master: trios#380 v2.3 GOLDEN STRAND
Part: VI — HARDWARE-NUMERICS STRAND (TIER-1)
Words: 600 · Priority: 🟢 P2 · Owner: GoldenSunWeaver
Source files: src/sacred/const.zig, src/trinity_output/cycle98_*.zig, cycle100_*.zig

🎯 Scope (FROZEN, academic tone)

§25.1 Constants pool (PLANCK_TIME, PHI, HBAR, ALPHA, BARBERO_IMMIRZI). §25.2 Evolution cycles: mutation = 1/φ² ≈ 0.382, crossover = 1/φ³ ≈ 0.236 — pre-registered φ-derived hyperparams. §25.3 Why φ-derived ratios over heuristic 0.4/0.2 (testable: convergence speed comparison). §25.4 Honest scope: speculative for now, validation deferred to v3.0 empirical strand.

Renaming for tex (repo paths kept for reproducibility):

• "Sacred Core" → "Period-Locked Runtime Monitor"
• "KOSCHEI IS OS" → "KOSCHEI φ-Numeric Coprocessor"
• "Eternal" → "φ-period"
• NO: "OS of time itself", "ABSOLUTE INFINITY", "post-singularity"
• Investor Deck / $5M Seed / KOSHEY_V9_OMEGA / v10 ABSOLUTE INFINITY → drop entirely

🔑 Falsifiable claims / formulas

• PHI=1.6180339887, PSI=0.6180339887, HBAR=1.054572e-34
• mutation_rate = 1/φ² = 0.381966
• crossover_rate = 1/φ³ = 0.236068
• 100+ φ-keyed cycle files (cycle{98,99,100,...}.zig)
• Cite docs/sacred-v7.0.md (internal report)

📦 Deliverables

• paper/sections/25_phiperiod_constants_and_runtime_cycles.tex
• Optional figures / tables per chapter

✅ Definition of Done (NeurIPS + Reviewer-2 mitigation)

• Word count 600 ±10%
• Academic tone ONLY (no "sacred"/"eternal"/"OS of time")
• All claims falsifiable with measurements (cycle counts, LUT counts, jitter %, MHz, SHA256)
• Honest limitations stated (sim-only, no silicon, etc.)
• Disclosure paragraph cross-ref to §14 (TRINITY OS companion preprint)
• Compiles via tectonic
• PR with Closes #<this> + green CI (L1/L3/L4/L8)

🤖 ONE SHOT directive

A: take Markdown draft from §"Draft" (when operator types наполни Ch.25),
convert to LaTeX in target path, ensure compile via tectonic, NO sacred/eternal
rhetoric, open PR Closes #<this>, hard deadline per priority.

phi^2 + phi^-2 = 3 · GOLDEN STRAND · NEVER STOP 🌻