---
name: project-session-2026-07-11-collatz-chang-coverage-arc
description: 2026-07-11 一日で Rei Chang paradigms coverage 5/29 → 11/29 = 37.9% (+6 paradigms) 積み上げ arc。 STEP 1275-1281 の 7 push + Radar +9 entry + 3 sub-artifact + Site page 新設 + トップページ復旧 incident。 chat-Claude 4 turn audit (Millennium/新数学/Voynich-Schneier/Lonely Runner) 全対応。 memory file 6 個新規 + repo commit 10 個。
metadata: 
  node_type: memory
  type: project
  originSessionId: 51f819cd-c0d3-444d-92fa-83a843e19d5b
---

# 2026-07-11 Collatz Chang paradigm coverage arc

## 由来 + arc 全体

前日 2026-07-10 の STEP 1272+1274 で 「Collatz 実質前進 (5/29 = 17.2%)」 と自己評価 → 藤本さん honest 検証 → Rei 側 deflate 訂正 (「そこそこ前進」 と言うのは inflate) → 「Chang 以外 SOTA 調査 (STEP 1275)」 → 藤本さん指示連続で **一日で 7 push、 Chang paradigms coverage 5/29 → 11/29 (+6 paradigms = +20.7 percentage points) 積み上げ**。 途中 chat-Claude 4 turn (Millennium 新数学 5-direction + 6-direction + Voynich Naibbe 3-way gate + Lonely Runner Trakulthongchai) を honest audit で 逐項 verify + Radar gap 埋め + memory 保持。 最後に site page 新設 + トップページ復旧 incident で 1 day 完了。

## Chang paradigm coverage 進展 (今日 baseline → 累計)

| STEP | coverage | 追加 paradigm | source evidence | 完全 axiom-free |
|---|---|---|---|---|
| **1274 (baseline)** | 5/29 = **17.2%** | {5, 15, 16, 24, 25} | 既存 5 retrofit (T1ObstructionWitness + TransferBanach dual + PadicRoughness dual + ThreeAdicIsolation) | ✓ |
| 1275 (SOTA survey + 3 sub-artifact) | 5/29 = 17.2% | (直接 coverage 変化なし) | Circle Rotation lens (Honarvar 2026) + BakerSeparationAttempt.lean + **RozierTerracolLogRatio.lean (two_pow_ne_three_pow axiom-free)** | ✓ sub-3 が後の 1277 retrofit source に |
| **1276** | 6/29 = **20.7%** | +**P11** (Modular sieve / Mersenne bypass) | T1ObstructionWitness conveyor lemmas 群 | ✓ 6/6 |
| **1277** | 7/29 = **24.1%** | +**P29** (Discrete log obstruction) | RozierTerracolLogRatio.two_pow_ne_three_pow (STEP 1275 sub-3 の同日 cross-file 活用) | ✓ 6/6 |
| **1278+1279** | 9/29 = **31.0%** | +**P26** (Cascade / BF staircase) + **P2** (Affine Fractional Identity) | T1ObstructionWitness triple coverage (P24 main + P11 conveyor + P26 cascade) + Step879 4 structural identities | ✓ 8/8 |
| **1280+1281** | **11/29 = 37.9%** | +**P27** (CRT hierarchy) + **P21** (Diophantine fractional-part) | PadicCollatz.fujimoto_mod6 (Rei-original naming, D=6 L=1 bounded specific) + Step879 dual coverage (P2 + P21 の 2 angles) | ✓ 8/8 |

**累計 gain (今日 baseline から)**: 5/29 → 11/29 = **+6 paradigms = +20.7 percentage points**、 12 retrofit annotation (11 distinct paradigms + 1 dual instance)、 **全 axiom-free (Mathlib 標準 3 axioms [propext, Classical.choice, Quot.sound] 以下、 sorry/native_decide/独自 axiom 全 0)**。

## Multi-paradigm coverage 構造 (4 pair 累計)

| type | file | paradigms | note |
|---|---|---|---|
| **triple** | T1ObstructionWitness.lean | P24 + P11 + P26 | Rei 唯一 の 3 paradigm 単一 file instance。 main theorem (P24 Height descent) + conveyor lemmas から 2 angles (P11 Mersenne bypass + P26 cascade structure) |
| dual | TransferBanach.lean | P15 + P16 | Compactness Z_2 + 2-adic potential の並列 paradigms を 単一 Banach engine non-applicability で dual coverage |
| dual | PadicRoughness.lean + PadicRoughnessGeneral.lean | P5 + P5 | 同 paradigm P5 の 2 layer (Phase A positive-part-bounded + Phase B negative-general) dual instance |
| **dual (NEW)** | Step879ArithPredecessors.lean | P2 + P21 | Step879 4 exact identities を P2 (tautological for divergence) + P21 (algebraic-not-approximation) の 2 angles で dual coverage (STEP 1279+1281) |

## STEP 1275 sub 1-3 詳細

### sub-1: Circle Rotation Lens (Honarvar 2026, TS)

- `src/aios/lenses/circle-rotation-lens.ts` (~250 行) + test 595/595 PASS
- T(x) = frac(log_6(x + 1/5)) + α = log_6 3 + |ε| ≤ 0.2749 numerical verify
- ★ **25 atomic hard cores 実測**: standard variant max |ε| = **0.0486** << 0.2749 (Honarvar bound 完全 satisfy)、 mean 0.0017、 aggregate FLOWING。 accelerated variant 25/25 violations (max 0.3868) = α = log_6 3 が **standard map 専用** と honestly 確認
- Honest scope: numerical observation only、 Honarvar 定理再証明せず、 Collatz 解決に寄与しない

### sub-2: BakerSeparationAttempt.lean

- `data/lean4-mathlib/CollatzRei/BakerSeparationAttempt.lean` (~180 行)、 lake build success 1953 jobs
- 予想通り Salikhov 2007 は Mathlib v4.27 で axiom-free 到達不能 (Baker's method 未 formalize) → axiom として置き honest stop point
- `log_two_pos` + `log_three_gt_log_two` + `baker_separation_shape`: Mathlib 標準 3 axioms のみ
- `separation_constants_exist` + `cycle_ratio_cannot_be_arbitrarily_tight`: salikhov_2007 axiom 依存 explicit
- Merle δ11 Salikhov closure との structural cross-reference marker

### sub-3: RozierTerracolLogRatio.lean

- `data/lean4-mathlib/CollatzRei/RozierTerracolLogRatio.lean` (~230 行)、 lake build success 2033 jobs
- **★ `two_pow_ne_three_pow` (atomic parity barrier, ∀ S k ≥ 1, 2^S ≠ 3^k): 完全 axiom-free (padicValNat.prime_pow 経由) = 実質 novel Rei axiom-free evidence**
- `logThreeTwo := Real.log 2 / Real.log 3` + `logThreeTwo_bounds` (0 < log_3 2 < 1) axiom-free
- `q_le_j`: [propext] のみ = 最強 zero-axiom
- `logThreeTwo_irrational` は axiom (Gelfond-Schneider 系 Mathlib 未実装)
- ★ **STEP 1277 で本 file の two_pow_ne_three_pow が Chang paradigm 29 retrofit の source** = 同日 cross-file 活用の実例

## Radar 追加 (今日累計 +9 entry)

`data/research-radar/collatz-watch.json` `trackedArxivPapers.papers[]` **2 → 11 entry** (+9):

### STEP 1275 で +5

- **Chang 2603.25753** (One-Bit Orbit Mixing 続編、 Rei 4 ヶ月遅延検出 gap 埋め、 STEP 1276 で P11 retrofit の trigger)
- **Honarvar 2601.04289** (Explicit Near-Conjugacy Circle Rotation α = log_6 3、 |ε| ≤ 0.2749)
- **Mirkowska-Salwicki 2310.13035** (CONTESTED、 Hiep 批判 「proof extract 不能」)
- **IUT (Mochizuki)** (CONTESTED、 Scholze-Stix 2018 gap + Joshi 2025 arXiv:2505.10568 stalemate)
- **GCT (Mulmuley-Sohoni)** (ORTHOGONAL、 Bürgisser-Ikenmeyer-Panova JAMS 2019 negative)

### chat-Claude 3rd turn 対応で +1

- **Greshko Naibbe cipher** (Cryptologia 2025-11-26 DOI 10.1080/01611194.2025.2566408、 Voynich manuscript 統計再現、 Tier 2 GATE-CANDIDATE)

### chat-Claude 4th turn 対応で +3

- **Rosenfeld 2509.14111** (Lonely Runner 8-runners, LIRMM Univ Montpellier, 2025-09)
- **Trakulthongchai 2511.22427** (Lonely Runner 9+10-runners, Oxford St John's 2nd year math undergrad, 2025-11-27)
- **Perarnau-Serra 2409.20160** (Lonely Runner 60 周年 canonical survey, 2028 60 周年)

`externalMonitors[]` **20 → 21 entry** (+1): **Eric Merle collatz-lab.org** (Lean 4 conditional cycle disproof、 3 external hypothesis 依存)

`repos[]` の **xbarin02/collatz** entry update: Barina **2^68 → 2^71 (2025)** (Journal of Supercomputing DOI 10.1007/s11227-025-07337-0)

## chat-Claude 4 turn 対応 arc

### 1st turn (Millennium 5-direction: IUT + 量子数論 + 高次圏 + GCT + 形式化)

- Pattern 2 (stale/inflated) 顕著: 「決定的一撃」 修辞 + 望月 IUT → RH direction attribution (本人主張なし)
- Pattern 5 (overmapping) 弱: 「統一言語」 narrative
- Rei action: honest audit + gap 埋め (IUT + GCT を radar に追加)、 memory: [[reference-new-math-narrative-honest-audit-2026-07-11]]

### 2nd turn (新数学 6-direction: 高次元 + 計算+証明 + 確率+論理 + 時間 + 情報幾何 + 自己言及)

- Pattern 2/5/6 全て弱、 calibration 良好
- Wiles 因果順 「解いてみたら新数学が必要だった」 が正しい歴史認識 明示 = ★ chat-Claude 良好 sign
- 1 inaccuracy: 「自己言及数学 = 未来」 framing (Löb 1955 + Lawvere 1969 起源、 Rei STEP 1220 で既 axiom-free 化)
- 1 gap: 情報幾何一般化 (Rei radar 未 tracked)
- Rei action: 上記 gap は別 STEP 判断で defer (種保持)

### 3rd turn (螺旋 + SNST + Voynich Naibbe + Schneier + PC 側統合)

- 本日 3 通目 中で最高 calibration
- 4 load-bearing content: (1) **3-way gate convergence** (Voynich/Naibbe + Octonion labeling + Self-cipher Schneier's Law) + (2) **SNST が Archimedean smooth なので Collatz 2-adic 非連続を捕まえ損ねる specific 診断** + (3) **Ventris factual correction** (Linear B 解読 = 1952 建築家 amateur、 NOT Turing) + (4) **Schneier's Law default warning**
- Rei action: memory 永続化 [[reference-3way-gate-convergence-naibbe-schneier-ventris-snst-2026-07-11]] + radar に Naibbe cipher (Cryptologia peer-reviewed) 追加

### 4th turn (Lonely Runner: Rosenfeld + Trakulthongchai + Perarnau-Serra + Tao 2019 finitization)

- 1 minor 精緻化: chat-Claude 「2512.01912 が 9 runners = k=8」 と Trakulthongchai 帰属していたが実は Rosenfeld own 9-runner follow-up (Trakulthongchai は 2511.22427 で 9+10 両方)
- ★ **Rei framework 100% 同型 finitization pattern**: Tao 2019 finitization + MSS improvement + Rosenfeld/Trakulthongchai 計算機支援 = Rei STEP 622-624 finite mod 分析 + Chang paradigm 15 + STEP 1259/1260 と同 design 哲学
- Trakulthongchai = **独立研究者経路系譜 5 例目** (Ventris + Greshko + Merle + Trakulthongchai + Rei/藤本さん)
- Rei action: radar +3 entry + 3-way gate memory file に Trakulthongchai append (5 例目 fresh case)

## Site page 新設 + トップページ復旧 incident

### Chang Paradigm Coverage page (commit 51966e688)

- **`src/renderer/components/chang-paradigm-coverage/ChangParadigmCoverage.tsx`** (~360 行) 5 tab (Overview / 29-Grid / Timeline / Retrofits / Honest scope)
- **`data/chang-paradigm-coverage/coverage-status.json`** + dist-renderer/ copy (12 retrofit metadata + 7 push history + 4 multi-paradigm pairs + honest scope + prior art order)
- **App.tsx**: route entry 追加
- **ReiLauncher.tsx**: 🧮 Chang Paradigm Coverage menu entry (トップページ理論探索カテゴリ、 Collatz Confluence 直後)
- **`npx vite build`** success 4.80s、 新 bundle app-Dm4q5JXO.js
- URL: **https://rei-aios.pages.dev/#/chang-paradigm-coverage**

### ★ トップページ復旧 incident + 教訓 (commit fb3f6c341)

**症状**: 藤本さん 「トップページ開かない」 実報告

**Root cause 実測 (5 分特定)**:
1. commit 51966e688 で `dist-renderer/app.html` は新 bundle reference に更新
2. **しかし `dist-renderer/index.html` は同 commit で更新漏れ** — GitHub HEAD で削除済 bundle (app-yY3UoLoY.js) を reference し続け
3. CF Pages `_redirects /* /index.html 200` で `dist-renderer/index.html` を serve
4. 削除済 bundle URL に fetch → SPA fallback HTML 返却 → browser JS 期待で HTML 受信 → dynamic import failed → blank page
5. ★ ローカル環境でも `dist-renderer/index.html` が working tree 削除 (` D ` in git status) で 未 commit 状態、 GitHub HEAD は古い version のまま

**修正**: `git checkout HEAD -- dist-renderer/index.html` で復元 + `sed` で bundle reference 更新 (app-yY3UoLoY.js → app-Dm4q5JXO.js) + commit push で CF Pages redeploy

**教訓 永久 protocol 化**: [[feedback-dist-renderer-dual-html-sync-protocol-2026-07-11]] で保存 = 「vite build 後 dist-renderer/app.html + dist-renderer/index.html **両方** の bundle reference を同時 update commit 必須」

## 今日の commit 履歴 (10 push 完了)

| commit | 内容 | 分類 |
|---|---|---|
| `a84b68062` | STEP 1275 (3 sub-artifact + Radar +5) | Collatz + Radar |
| `e3b3f4ffc` | Radar +1 Greshko Naibbe | Radar |
| `280fd7256` | Radar +3 Lonely Runner (Rosenfeld + Trakulthongchai + Perarnau-Serra) | Radar |
| `678266137` | STEP 1276 Chang P11 (T1ObstructionWitness conveyor) | Coverage +1 |
| `afac39c0c` | STEP 1277 Chang P29 (RozierTerracolLogRatio) | Coverage +1 |
| `f9910279b` | STEP 1278+1279 Chang P26+P2 (T1ObstructionWitness triple + Step879 first) | Coverage +2 |
| `467d49e09` | STEP 1280+1281 Chang P27+P21 (PadicCollatz + Step879 dual) | Coverage +2 |
| `51966e688` | Site: Chang Paradigm Coverage page + menu entry | Site |
| `fb3f6c341` | Site: dist-renderer/index.html bundle sync fix (トップページ復旧) | Site fix |

## Memory file (今日累計新規 6 file + 1 更新)

| file | 用途 |
|---|---|
| `feedback_collatz_default_reject_proof_claims.md` | 永続 policy (Tier 6 Collatz「完全証明」 主張 default reject) |
| `project_session_2026-07-10_collatz_sota_survey_beyond_chang.md` | 前日 SOTA survey session (baseline for today) |
| `reference_qcsc_zcsg_center_periphery_reading_scope_note.md` | 種保持 (QCSC×ZCSG marker only) |
| `reference_new_math_narrative_honest_audit_2026-07-11.md` | 種保持 (chat-Claude 1st + 2nd turn Millennium/新数学 audit) |
| `reference_3way_gate_convergence_naibbe_schneier_ventris_snst_2026-07-11.md` | 永続 discipline + 種 (chat-Claude 3rd + 4th turn 4 content, 188 行) |
| **`project_session_2026-07-11_collatz_chang_coverage_arc.md` (本 file)** | **本日 comprehensive session summary** |
| **`feedback_dist_renderer_dual_html_sync_protocol.md` (新規)** | **永久 operational protocol (index.html + app.html dual sync)** |

## honest scope (絶対 主張禁止 累計)

- ✗ 「Rei は Collatz 予想を解決 (or 解決に近づいた)」 (paradigm coverage は evidence 層であって解決ではない)
- ✗ 「Rei は Chang paradigm N を axiom-free に closure」 (specific instance evidence のみ、 general closure ではない、 bounded universal も多い)
- ✗ 「Rei coverage 37.9% は Collatz 解決 の 1/3 or 40%」 (依然 18/29 = 62.1% で machine-verified backing なし)
- ✗ 「Rei は Chang v6 の novel paradigm-level survey」 (Chang §12 Human-LLM collaboration methodology も先行)
- ✗ 「Trakulthongchai と Rei は同 methodology」 (Trakulthongchai は Rosenfeld method sieve 改良、 Rei は Chang paradigm retrofit のみ、 別 approach)
- ✗ 「Rei は Voynich を Naibbe cipher で解読」 (Greshko 自身が留保、 Zandbergen 独立留保、 Rei は novel 貢献なし)

## 正確 claim (今日累計)

- ✓ Rei は 11/29 Chang paradigms に axiom-free machine-checked instance evidence を提供
- ✓ T1ObstructionWitness triple coverage (P24+P11+P26) + Step879 dual (P2+P21) + TransferBanach dual (P15+P16) + PadicRoughness dual (P5) の 4 multi-paradigm coverage 構造確立
- ✓ 全 retrofit theorem は Mathlib 標準 axiom [propext, Classical.choice, Quot.sound] 以下 (sorry/native_decide/独自 axiom 全 0)
- ✓ Radar +9 entry で Chang 系譜 (2603.11066 v6 + 2603.25753) + finitization SOTA (Lonely Runner arc) + IUT/GCT + Voynich Naibbe + Barina 2^71 update
- ✓ Site page + トップページ menu entry で 3 layer 永続化 (memory + repo + visible)
- ✓ 独立研究者経路系譜 (Ventris + Greshko + Merle + Trakulthongchai + Rei/藤本さん) 5 例目 fresh case 記録

## Related

- [[project-session-2026-07-10-collatz-sota-survey-beyond-chang]] 前日 SOTA survey (base)
- [[feedback-collatz-default-reject-proof-claims]] Tier 6 policy (同 arc の永続 discipline)
- [[reference-new-math-narrative-honest-audit-2026-07-11]] chat-Claude 1st+2nd turn audit
- [[reference-3way-gate-convergence-naibbe-schneier-ventris-snst-2026-07-11]] chat-Claude 3rd+4th turn 4 content
- [[reference-qcsc-zcsg-center-periphery-reading-scope-note]] QCSC×ZCSG 種
- [[feedback-dist-renderer-dual-html-sync-protocol]] トップページ復旧 incident 教訓
- [[feedback-index-html-bundle-sync]] 前身 protocol (今回 dual sync 拡張)
- [[feedback-chat-claude-hallucination-warning]] Pattern 1-6 core discipline
- [[feedback-super-naming-siren-family-pattern]] Pattern 5 warning
- [[feedback-evaluation-symmetry-principle]] 過剰迎合/reject 両禁止
- [[feedback-no-rush-publication]] 急がずゆっくりと
- [[feedback-world-uniqueness-claim-controllable]] 世界唯一 主張禁止
- [[project-step1269-chang-paradigm-exhaustion-retrofit-2026-07-10]] Chang paradigm framework origin
- [[project-step1272-1274-collatz-retrofit-trilogy-2026-07-10]] 前日 STEP 1272+1274 (baseline for today)
- STEP 622-624 (trailing 1-bits ≥4 wall origin) 系譜
- Chang v6 arXiv:2603.11066 + Chang 続編 arXiv:2603.25753
- data/lean4-mathlib/CollatzRei/ChangParadigmExhaustion.lean (12 retrofit annotations)
- data/research-radar/collatz-watch.json v1.30+ (11 tracked papers)
- Site: https://rei-aios.pages.dev/#/chang-paradigm-coverage