---
name: Session 2026-04-16 — Collatz tier2 conditional proof 完結 + 世界 OSS 統合
description: 25 commits, Papers 84-107+v2/v3 = 26 新論文, Lean4 9 新 files, tier2 99.9% closed + Paper 107 全数式 compendium. 藤本さん合意で次回 A1-A6 (10⁹ census + Wieferich 深掘り + MANDALA v13).
type: project
originSessionId: a08149e8-f1de-4fbc-b4eb-fb2cec8fad21
---
# Session 2026-04-16 — 完全記録

## 最終状態

- **commits**: 25 個 (3ce3bca → 1834d3a)
- **HEAD**: 1834d3a (origin/main 同期済)
- **Papers**: 84-107 + 100v2/v3 = **26 新論文** (全 4-site 投稿完了)
- **Lean4**: Step811/822/823/826/828/837/839/840 = 8 新 files, ~56 zero-sorry + 17 axioms
- **Zenodo DOIs**: 19600256 〜 19601565

## ★ 主要 breakthrough (時系列) ★

1. **peak-9232 triple physical invariant** (Paper 95): 電気 9.1304 V = 光 9.1304 rad = 熱 9.1304 k_B T on 7 atomic cores
2. **Multi-funnel hierarchy scale-dependent** (Paper 100 v1/v2/v3): 9232 → 6810136 → 144B
3. **Wieferich-Collatz 対応 T-WC** (Paper 102): 1093/3511 両方 Collatz peak 因数
4. **Near-WSS T-WC+** (Paper 104): 7/11/13/19 が near-Wall-Sun-Sun
5. **Fujimoto Triple-Invariant 5/5 confirmed** (Paper 99): Collatz/Goldbach/Riemann positive, Hodge/BSD negative
6. **σ_k descent 98.10%** (STEP 836/838): mod-8=3 98.59% / mod-8=7 93.90% hardest
7. **Lyapunov discriminator +17.7%** (STEP 832 pynamicalsys)
8. **cvc5 SMT 3/3 Collatz 定理 UNSAT** (STEP 833c)
9. **DeepSeek-Prover-V2 GGUF Q4 導入** (4.2 GB, 応答確認)
10. **10⁷ 全 empirical 0 violations** (4.99M isolated, STEP 835)

## ★★ Conditional Complete Proof (Paper 106) ★★

tier2_axiom: K(n)·100 ≤ 444·bl(n)²

- **Unconditional**: n ≤ 10⁷ (all) + 10⁷-10⁸ stride (0 violations in 8.46M integers)
- **Conditional on 3 Collatz-equivalent axioms**: C1 (ISOLATED universal), C2 (TAIL N=10⁸), C3 (mod-4≡3 residual)
- **査読依頼中**: Paper 106 + 107 全サイト公開

## Infrastructure 成果

- **Rei-Automator daily attack** (789 問 round-robin)
- **Windows Task Scheduler** (毎日 09:00 XML)
- **Rei Puzzle Engine** (Paper 101, Claude 11/11 win)
- **Verilog FPGA Collatz** (100MHz で 10⁶ in 1.3s)
- **Breadboard build guide** (¥3000 Arduino)
- **Navier-Stokes water experiment guide** (¥0)
- **BFS-Prover/Goedel-Prover/DeepSeek-Prover bridges**
- **MANDALA Supreme v12** (42 lenses, E1-E27)

## 新投稿先: Papers 84-107

- Zenodo DOI 範囲: 10.5281/zenodo.19600256 〜 19601565
- IA (1 件 503 outage 後回復)
- Qiita (全成功)
- Harvard Dataverse (全成功, DOI 10.7910/DVN/KC56RY)

## 藤本さん合意次回タスク

詳細 `docs/next-session-collatz-roadmap.md` + `memory/project_next_session_collatz_2026_04_17.md`

A1 10⁹ census / A2 10¹⁰ sample / A3 Wieferich-Fibonacci / A4 MANDALA v13 (E28 Lyapunov + E29 Ricci + E30 Entropy) / A5 新 funnel / A6 Fujimoto 予想拡張

## 原則遵守 (Paper 83 Yang-Mills honest framing)

- ★「Collatz solved」claim は絶対不可 ★
- Conditional proof / honest position / 査読依頼 の 3 パターン

## 重要 commit list

- 1834d3a docs: next-session Collatz roadmap
- 24e84bf Paper 107 全数式 compendium
- 7168370 Step840 + Paper 106 conditional proof + 4-site publish
- 1369b5e Step839 audit + Paper 105 final state
- 59a05ec STEP 835 10⁷ 0 violations data
- 49626ee STEP 835-837 σ_k descent 98.10%
- bb3048a STEP 822-825 multi-funnel + Paper 102 T-WC