📖 Ch.4 — Sacred Formula V = n^3k * pi^m * phi^p * e^q (600w · 🟢 P2 · I — FOUNDATIONS)

[gHashTag]

Ch.4 — Sacred Formula V = n^3k * pi^m * phi^p * e^q

Master: trios#380 · Part: I — FOUNDATIONS
Scope: software-only (Rust/Zig), no hardware/FPGA/KOSCHEI
Words: 600 · Priority: 🟢 P2 · Owner: GoldenSunWeaver

🎯 Scope (FROZEN, v2.1 SOFTWARE-ONLY)

Sacred Formula V = n^(3k)·π^m·φ^p·e^q as DNA strand of φ-numerics. Software-only derivation. Connection to Trinity identity (Ch.3) and golden corridor (Ch.7). NO hardware references.

🔑 Key claims / formulas

• V = n^(3k)·π^m·φ^p·e^q canonical form
• Why 3k exponent (Trinity recurrence)
• Connection to L_n Lucas sequence
• Cite t27/specs/sacred/sacred_constants.t27

📦 Deliverables

• paper/sections/4_sacred_formula_v__n3k_238_crates_to_scaffoldmd_claudemd_screenshot25690428at173633jpg_screenshot25690428at175500jpg_coding_session_0f5dfa6ejsonl_coding_session_45f5c660jsonl_coding_session_735688a1jsonl_coding_session_79a7b262jsonl_coding_session_bdc7e3eajsonl_coding_session_bff0672ajsonl_coding_session_e85cf0f5jsonl_coding_session_fa9a899cjsonl_cron_tracking_current_session_context_dispatch_commentmd_igla_skillmd_past_session_contexts_pastetxt_promotiondrafts_repos_skills_tool_calls_pim_238_crates_to_scaffoldmd_claudemd_screenshot25690428at173633jpg_screenshot25690428at175500jpg_coding_session_0f5dfa6ejsonl_coding_session_45f5c660jsonl_coding_session_735688a1jsonl_coding_session_79a7b262jsonl_coding_session_bdc7e3eajsonl_coding_session_bff0672ajsonl_coding_session_e85cf0f5jsonl_coding_session_fa9a899cjsonl_cron_tracking_current_session_context_dispatch_commentmd_igla_skillmd_past_session_contexts_pastetxt_promotiondrafts_repos_skills_tool_calls_phip_238_crates_to_scaffoldmd_claudemd_screenshot25690428at173633jpg_screenshot25690428at175500jpg_coding_session_0f5dfa6ejsonl_coding_session_45f5c660jsonl_coding_session_735688a1jsonl_coding_session_79a7b262jsonl_coding_session_bdc7e3eajsonl_coding_session_bff0672ajsonl_coding_session_e85cf0f5jsonl_coding_session_fa9a899cjsonl_cron_tracking_current_session_context_dispatch_commentmd_igla_skillmd_past_session_contexts_pastetxt_promotiondrafts_repos_skills_tool_calls_eq.tex

✅ Definition of Done (v2.1)

• Word count 600 ±10%
• All claims cited (primary literature)
• No woody-shop / KOSCHEI / FPGA references
• Compiles in main.tex via tectonic
• L1 (no .sh) · L3 · L4 · L8

🤖 ONE-SHOT directive (when operator types ONE SHOT Ch.4)

A: take Markdown draft from §"Draft", convert to LaTeX, place in
paper/sections/4_<slug>.tex, ensure compile, open PR with Closes #<this>.

phi^2 + phi^-2 = 3 · TRINITY · NEVER STOP