---
name: 2026-05-13-to-14-session-full-summary
description: 2026-05-13 → 14 substantial session full summary — Paper 152 v0.3 publish + Lean 4 §5d 完全機械化 + 4 OSS scaffold + 4 part chat-Claude evaluation + Daily impossibility-equations infrastructure + Tao 67 attempts + Hodge Stage 1 (Phase 1+2)
metadata: 
  node_type: memory
  type: project
  originSessionId: e5ec4e43-958a-4a47-a6f0-4513f218941f
---

★★★★★ 2026-05-13 → 14 substantial session (STEP 1119-1131). 主要 deliverables:

## Paper 152 v0.3 — 10 platform publish + Lean 4 framework 完全機械化

- **Zenodo DOI**: `10.5281/zenodo.20158847` (manual web UI 経由, API 終日 500 blocked)
- 10 platform: Zenodo + IA + Dev.to + Hatena + HackMD + Notion + Livedoor + Mastodon + Scrapbox + Nostr (long 3/5 + announce 3/5). Harvard skip.
- **v0.3 核心**: 10⁹ scan 完了 (n=96k 100%) + §5d G_3 framework + Erratum E3 (class 21 absence 100% → 98.43% honest) + Lemma 5d.1 + Corollary 5d.3 Lean 4 機械化

### Lean 4 §5d framework 完全機械化 (4 files / 全 0 sorries)

| File | Content | STEP |
|---|---|---|
| ThreeAdicIsolation.lean | Theorem 5b (no odd predecessor of 3 | v) | 1120 |
| PeakMergeInvariant.lean | Büchi-25 → 9232 native_decide | 1116 |
| PeakMergeWitness.lean | peak_merge_exists 1000 witnesses | 1118 |
| **G3Subgraph.lean** | **Lemma 5d.1 + 5d.2 + Corollary 5d.3 + 11 supporting theorems** | **1127 + 1128** |

★ STEP 1128 Corollary 5d.3 `reachableFrom n_0 m ↔ ∃ k, n_0 = chain m k` を proof 完了. Paper 152 v0.3 §5d は **fully mechanized end-to-end**.

## OUKC honest correction principle 3 例累積 (同 paper 内)

- **E1** (v0.1 internal STEP 1107): 31,313 = 173 × 181 (twin-gap-8), not prime
- **E2** (v0.1 → v0.2 STEP 1120): 3-adic theorem applies to specific values, not mod-96 classes
- **E3** (v0.2 → v0.3 STEP 1124): class 21 absence 100% → 98.43% (1,221 counter-examples at 10⁹)

## chat-Claude 4 part conversation evaluation (2026-05-13 → 14)

| Part | Topic | Rei 評価 |
|---|---|---|
| 1 | SPC C(x)=0 framework | LLM context-sharing 哲学的 rebranding |
| 2 | 圧縮率は年々上がっているか | ★★★★ 完全 honest correction (Kolmogorov 不変) |
| 3 | 3 layer 不可能可能化数式 | rebranding + Shannon channel/source 混同 1 件 |
| 4 | Ramanujan + Dirac/Maxwell/Einstein 歴史 | ★★★★ session 最強 portion |
| 5 | 世界 OSS survey | 4 件 fact-check 全 accurate (Archon/Gauss/TxGraffiti/Euler2AI) |

★ Pattern 5 累積 **+8 = 13 件 systemic 確定** (Lean Copilot/LeanDojo 既監視 / D-FUMT₈ × Hodge Paper 89 既完了 / SPC = LLM context-sharing rebranding 等)

★ Φ catalog hypothesis = **valid research direction** (5 historical case + 5 Rei stack instances)

## Daily Impossibility Equations infrastructure (STEP 1126)

- **Site lens**: `#/impossibility-equations` 公開 (10 templates 3 daily rotation)
- **GitHub Actions cron**: 毎日 03:00 JST 自動 generate (STEP 1127)
- **Top page**: featured banner (gradient pink → violet → cyan) + daily highlight 配置
- 10 templates: 2 compression (Kolmogorov / Shannon) + 5 historical (analytic continuation / tachyon / Alcubierre / mock theta / Dirac) + 3 Rei stack (ZCSG / SNST / Collatz 3-adic)

## OSS scaffolds (STEP 1125)

| OSS | Status |
|---|---|
| PySR + D-FUMT₈ Phase 1 | ✅ scaffold + actual run (hidden truth recovered loss 2.31e-5) |
| Ramanujan Machine + SNST 14 | ✅ PSLQ baseline (Paper 63 baseline + 新形式 PHI²=PSI+2 rediscovered) |
| CodeEvolve | ⚠ scaffold + honest LLM API opt-in warning |
| Lean Copilot + LeanDojo-v2 | ⚠ scaffold + WSL2 path documented (Windows MSYS2 issue 既存) |
| Tao 67 (alphaevolve_repository_of_problems) | ✅ clone + 67 problems × Rei typology mapping (82% V_COMPUTATIONAL) |
| Euler2AI 149 PCF × D-FUMT₈ | ✅ classification (INFINITY 3 = Leibniz π/4 系 universal rediscovery) |
| CICY3 7,890 manifolds | ✅ Oxford dataset clone + Phase 1 + 2 PySR fit |

## Hodge 予想 Stage 1 (PySR × CICY3) — 2 phase 完走

| Phase | Features | H11 loss | H21 loss |
|---|---|---|---|
| Phase 1 (STEP 1125 Q2) | 12 scalar | 0.87 | 1.12 |
| Phase 2 (STEP 1130) | + 8 matrix invariants | 0.881 (-1.2% 微悪化) | **1.054 (+5.9% 改善)** |

Honest interpretation:
- H¹¹ = Kähler classes 主に NumPs と相関 → 簡単 features で十分
- H²¹ = complex moduli → matrix invariants (Frobenius/trace) で 6% 改善

Schettini-Gherardini precedent (4 桁 speedup) には到達せず (parameterization 違い).

## Tao 67 attempts (3 件)

| # | Problem | Result |
|---|---|---|
| #2 | Sidon autocorrelation (continuous) | ⚠ scope mismatch. Rei 1.998 vs SOTA 1.5029 |
| #28 | Golay merit factor (±1 polynomial) | ★ D-FUMT₈ TRUE axis ↔ Barker codes (n+1 ∈ {7,11,13}) 相関 |

## Q5 重要 finding (前 turn 累積)

Paper 152 v0.3 §5d Corollary 5d.3 が 1,221 class-21 counter-examples を **完全 structural 説明**. 10⁹ scan 経由 1,221 件と Corollary 5d.3 直接 enumerate (24 sec) で完全一致. PySR で smooth discriminator 見つからない = 期待通り (chain membership は離散 property).

## Site infrastructure 強化

- Mobile responsive Phase 1-6 完了 (STEP 1093-1098)
- `#/quantum-microscope` hub (9 lens 統合, STEP 1072)
- `#/activity-log` (commits + STEP + publish 集約, STEP 1056)
- `#/impossibility-equations` (NEW STEP 1126) + Top page featured banner (STEP 1126)
- MetaDB Ramanujan deep-link fix (STEP 1131, `?tab=ramanujan` parsing + filter)

## 累積 commit (本 session, 全 push 済)

dff99d8f → 2a1b459c → d6e5b5e5 → c8770828 → 6a816ae5 → 943e729b → 3da0ddca → 2507247a → 52b062c9 → 0f0e679a → 5b20adc2 → 81db5614 → bb4255f5 → 61f9aee0 → 13572b30 → 4c26bafc → f31f5a78 → 3a4c4c19 → d9f106c9 → 7e5c9ef2 → 2b4c9acd → 85e0e323 → 62cacf96 → 3e33b934 → **113529d7**

= **~25 commits**, 全 push 済 / 未 push 0.

## 残 retain (戻られた時の next-step 候補)

| Item | 所要 | 採否判断必要 |
|---|---|---|
| **Paper 63 v0.2 publish** (draft 完了) | 30 分 (manual web UI) | Zenodo 復旧 OR web UI 経由 |
| ~~Tao 67 #8 Kissing numbers σ-cascade attempt~~ | ✅ STEP 1132 完了 (commit `4d66dbcf`, E_8+Leech↔INFINITY) |  |
| ~~Tao 67 #48 Heilbronn triangle attempt~~ | ✅ STEP 1133 完了 (commit `255bec9c`, Pattern 2 self-correction in same commit) |  |
| ~~Φ catalog hypothesis Paper draft~~ | ✅ STEP 1134 完了 (commit `91f570fe`, Paper 153 v0.1 DRAFT, publish 判断未) |  |
| **Fermat fourfold integral Hodge Lean 4 mechanization** | 1-2 週間 | substantial Mathlib contribution |
| **Stage 2 Hodge (full configuration matrix PySR)** | 1-2 日 | parameterization 切替 |

## Auto-batch Step 6-8 完了 (藤本さん外出中 autonomous batch)

- Step 6 (STEP 1132): Tao 67 #8 Kissing numbers — E_8 (n=8) + Leech (n=24) lattice ↔ INFINITY axis 相関 (exceptional lattice 直観整合). NO SOTA 改善 claim.
- Step 7 (STEP 1133): Tao 67 #48 Heilbronn triangle — random search lower bound n=3..10. **★ Pattern 2 self-detection**: 私自身の KNOWN_SOTA 値で n=4: 0.25 (wrong; 正解 0.5) + n=6: 0.111 (wrong; 正解 1/8 = 0.125) を post-run WebSearch verify で発見, 訂正 erratum を **同 commit** に含めて push. OUKC honest-correction principle operational 実例 (同 paper 内 errata 累積 pattern と structurally similar).
- Step 8 (STEP 1134): Paper 153 Φ-Catalog v0.1 DRAFT — 9 historical (Σn=-1/12, tachyon, Alcubierre, mock theta, Dirac, Maxwell, Einstein Λ, Yang-Mills+Higgs, Ramanujan 1/π) + 5 Rei-stack (Paper 61/63/89/145/152) を統一記法 `(I, X, Φ)` で整理. Pattern 4 caution 全 entry. publish 判断未.

合計 batch commit (Step 6-8): 4d66dbcf → 255bec9c → 91f570fe (+ 495be8ac SITE_COVERAGE_MAP).

## OUKC honest framing 全 session 維持

- 「世界初」 不使用 (precedent 確認後の controllable 表現)
- 「真の breakthrough」 主張なし (descriptive labeling level に honest)
- Pattern 5 13 件 systemic record (chat-Claude session memory なし rebranding 警戒)
- Pattern 2 numerical/factual stale 4 件 record
- Antipattern (過度の reject 警戒) 0 件 = filter 役 functioning 正常

## 連結 reference

- [[project_paper152_v03_published_2026-05-14]] (v0.3 publish 詳細)
- [[project_chat_claude_4part_impossibility_compression_2026-05-14]] (chat-Claude 4 part eval)
- [[project_phi_catalog_hypothesis_2026-05-14]] (Φ catalog future paper candidate)
- [[project_step1125_symbolic_oss_scaffolding]] (4 OSS scaffold)
- [[project_hodge_existing_work_audit_2026-05-13]] (Stage 0 Hodge audit)
- [[feedback_chat_claude_hallucination_warning]] (Pattern 5/2/Antipattern record)

## Session 連続時間

2026-05-13 朝 → 2026-05-14 午後 = 約 30 時間
(藤本さん 休憩 + 外出 含む; PC は continuous run, GitHub Actions cron 等は自動継続)

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★ **次 session 開始時 primary reference**: 本 file + MEMORY.md top entries