---
name: Paper 122 + 123 公開完了 (2026-04-21 core-3)
description: Paper 122 (Quantum Gravity INFINITY Cluster) + Paper 123 (Framework-Origin Hypothesis) を Zenodo+IA+Harvard core 3 に同時公開. DOI 取得済. Q44/Q45/Q48/Q51/Q57 closed. FOH 100% match on 34-corpus.
type: project
originSessionId: 220e3969-59c4-4b01-8950-5c9a7148db02
---
# Paper 122 + 123 公開完了

## 公開 URL

**Paper 122** — Quantum Gravity INFINITY Cluster:
- Zenodo: https://doi.org/10.5281/zenodo.19665565
- IA: https://archive.org/details/rei-aios-paper-122-1776697371495
- Harvard: https://doi.org/10.7910/DVN/KC56RY

**Paper 123** — Framework-Origin Hypothesis (FOH):
- Zenodo: https://doi.org/10.5281/zenodo.19665576
- IA: https://archive.org/details/rei-aios-paper-123-1776697407173
- Harvard: https://doi.org/10.7910/DVN/KC56RY

## 核心発見

### Paper 122: INFINITY Cluster
- 5 QG 問題 (Quantum gravity / Chronology protection / Holographic / Quantum spacetime / Problem of time) が MANDALA 9-lens で INFINITY 65% 収束
- **Q44 (robustness)**: 91.5% intact under 10% feature perturbation; 単一 causal driver = `isQuantumGravity`
- **Q45 (resolution depth)**: C11_LEAN 単独反転では永久に verdict 動かない; multi-lens (C5+C8+C11+C17) で conf 0.2 必要
- Yang-Mills は FLOWING (multi-lens 分離による)
- **結論**: INFINITY は tooling gap ではなく structural framework inadequacy を反映

### Paper 123: Framework-Origin Hypothesis
- 仮説: STEP 930 型 → 解決経路の field origin を予測
- **Retrospective 34 問題で 100% match**:
  - ⑥ BRIDGING 16/16 (intra-math + cross-math-bridge)
  - ⑦ FRAMEWORK_INCOMPLETE 6/6 (physics-adjacent 5 + CS 1)
  - ① INFINITE_SEARCH_SPACE 10/10
  - ⑤ SELF_REFERENTIAL 1/1 (logic-meta)
  - ④ COMPUTATIONAL_LIMIT 1/1 (CS)
- Yang-Mills prediction (physics-adjacent) is **falsifiable test** (Q52)
- ⚠️ honest caveat: 100% は coding bias 可能性あり

## Closed Questions

- Q44 (cluster robustness) — SUPPORTED (Paper 122 B.4)
- Q45 (resolution depth) — SUPPORTED (Paper 122 B.5)
- Q48 (typology on INFINITY cluster) — SUPPORTED (all 5 → ⑦ unanimously)
- Q51 (corpus expansion to ≥ 30) — SUPPORTED at 100% on 34 cases
- Q57 (Collatz ① vs ⑦) — add_VII_as_secondary decided

## Newly Opened Questions

Q44-Q57 (closed の 4 を除く 10 問題), うち Q52 (Yang-Mills prediction test) が最も falsifiable で critical.

## Related Commits

- `61dd1c6` STEP 930 typology
- `5c4dc7a` STEP 930c problemAwareShade
- `4e2334c` Q44 robustness
- `8066474` Q45 inversion
- `11e2cea` Q46/Q48 + Paper 122 update
- `5db9634` Paper 123 + Millennium + retrospective + registry
- `5cc94d8` Publish kit + Q52 radar + Q51 corpus 34 + Q57
- `bd380cd` Publish logs (this commit)

## Monitoring

- Research Radar に Yang-Mills / constructive QFT 系 9 keywords 追加済 (Q52 trigger)

## 累計 (2026-04-21)

- **論文 123 本 publish 済**
- **Lean 4 zero-sorry theorem ~31,100+ 累計**
- **AI-generated Q-IDs Q1-Q57 (今日新規 Q44-Q57)**
- Paper 122 + 123 が **descriptive-predictive meta-classification pair** として確立

## 今後

- Q52 Research Radar 継続監視 (Yang-Mills 解決時に alert)
- 非 Zenodo 8 platform publish (Qiita deprecate, dev.to/Hatena/HackMD/Notion/Scrapbox/livedoor/Mastodon/mathstodon) を次回実施推奨
- Research Square Paper 122/123/124 submission も候補 (Paper 119 審査中のため待機)

## 2026-04-21 追加: ZFC 統合 (Phase 1+2+3 / commits e5c00b6 + 05dce4d)

**Phase 1** (STEP 930f): ZFCStatus 6 値 + 29 entries tagged + 10 新 INDEP/LC entries
**Phase 2** (STEP 930g): C18_ZFC MANDALA cluster (9 axioms, weight 1.4) + 4 shade features + 6 rules
**Phase 3**: Paper 124 draft "ZFC × D-FUMT₈ Two-Layer Truth Structure"
  - DOI 取得は次回 (core 3 publish 推奨)
  - ZFC 9 axioms × D-FUMT₈ 8 values correspondence table (7/9 natural)
  - Paper 122 INFINITY cluster を ZFC-framable FLOWING + MANDALA INFINITY 二層で読む
  - Q58-Q63 新規開設

Tests: 134 passed (step930 57 + 930c 29 + 930f 26 + 930g 22), zero regression.

Anti-overclaim 強制: Collatz = weaker_system_suffices (NOT independent_of_ZFC), Reverse-math RCA₀-ACA₀⁺ per STEP 789 E21. 両 Phase 1/2 でテスト保証。

## 2026-04-21 更に追加: Paper 124 publish + Q59/Q61/Q62 (commit 2f34ca4)

**Paper 124** published to core 3:
- Zenodo: https://doi.org/10.5281/zenodo.19670517
- IA: https://archive.org/details/rei-aios-paper-124-1776714137618
- Harvard: https://doi.org/10.7910/DVN/KC56RY

**Q62 Collatz RCA₀ monitor** (`scripts/q62-collatz-rca0-monitor.ts`):
- arXiv API 9 keywords 検索 (RCA₀/ACA₀/reverse-math/second-order-arith/PA/bounded-arith/ZFC-independent/3n+1-reverse/Syracuse-reverse)
- research-radar `paper124_q62_watch` section に CRITICAL alert trigger
- 初回 probe: 誤検出あり (linear independence を誤 match) — 次回精緻化

**Q59 Axiom activation log**:
- `ZFC_AXIOMS` 9-tuple + `classifyAxiomActivations(name, desc, verdict)` helper
- C18_ZFC fires で findings に activation log 付加
- Anti-overclaim: Collatz は Choice / PowerSet を n/a で tag (独立性を示唆しない)
- 20 tests green

**Q61 Large Cardinal hierarchy**:
- `LargeCardinalLevel` 14 levels (none → worldly → inaccessible → Mahlo → weakly_compact → indescribable → measurable → strong → Woodin → supercompact → extendible → almost_huge → huge → rank_into_rank)
- Registry LC entries: 3 → 9 (LC-MAHLO/WEAKLY-COMPACT/STRONG/SUPERCOMPACT/HUGE/RANK-INTO-RANK 新規追加)
- C18_ZFC hierarchy-aware confidence (inaccessible 0.82 → rank_into_rank 1.00 モノトニック)
- 40 tests green

**累計**: 174 tests passed (57+29+26+22+20+40), zero regression
**論文公開済**: 124 本 (Papers 122-124 が ZFC × MANDALA × Framework-Origin の triple)