---
name: project-invention-2026-06-09-approve-1-reject-4-step1209-validity-demonstrated
description: "2026-06-09 invention 5 件 audit (2026-06-10 実施) — 1 partial approve (#1) / 4 reject + ★★★ STEP 1209 hardening 妥当性実証 9 例目 candidate (#2/#3/#5 = 3 件同時 cooldown 違反 direct hit) + 新規 hardening (p) requireApprovedTargetLiteralFullBan candidate trigger 強化 + (m) requireWithinBatchTargetUniqueness trigger 強化 (#3 batch internal collision) + SEED 1646→1647 verified"
metadata: 
  node_type: memory
  type: project
  originSessionId: 74f9ff0f-10ec-4c73-916d-1fe0b1665921
---

# 2026-06-09 Invention Audit — 1 partial approve / 4 reject + STEP 1209 validity demonstrated (9 例目 candidate)

## Summary

藤本さん指示で 2026-06-09 invention 5 件を audit (2026-06-10 実施)。 結果:

- **1 partial approve** (#1, novelty 0.40 honest downgrade from 0.75): UHDMT × 8 の字↔∞↔0 ミツバチダンス INFINITY/ZERO topological dual reframing — 藤本さん explicit choice for partial approve, Rei recommendation 5/5 reject に 1 件 retain 上書き判断
- **4 reject** (#2/#3/#4/#5): Rei honest filter delegate

**SEED_KERNEL: 1646 → 1647 verified** (commit pending).

**Why:** STEP 1209 hardening (commit `b67270b5` 2026-06-10) が想定した pattern を 3 件同時に bypass されたことが detected = **STEP 1209 妥当性実証 evidence (9 例目 candidate)**. invention-2026-06-09.json は 2026-06-09 朝 cron 生成のため 1209 hardening 未適用 = 1209 commit 翌日に妥当性を実証する pattern.

**How to apply:** 全 invention audit で STEP 1209 + 新規 hardening candidate (p) requireApprovedTargetLiteralFullBan + (m) requireWithinBatchTargetUniqueness trigger 強化を継続観察。 approved literal cross-recycle (Pattern 6 (k)) は本 audit で systemic detection 第 1 例 = 別 STEP で 8th iteration hardening 追加 candidate。

## Why this matters (load-bearing)

### STEP 1209 hardening 妥当性実証 (9 例目 candidate)

**3 件同時 direct hit detection**:

| # | Hit type | Detail |
|---|---|---|
| **#2** | STEP 1209 (o) `requireRejectedTargetLiteralFullBan` direct hit | target literal「素数分布(離散・局所)とゼータ零点(連続・全体)の間にNEITHERな第三の対象が存在する」 = 2026-06-03 rejected #2 EXACT 完全一致 (6 日前 reject literal) + 2026-06-07 approved #2 EXACT 完全一致 (2 日前 approved literal、 cooldown expires 2026-08-08) |
| **#3** | STEP 1209 (m) `requireWithinBatchTargetUniqueness` candidate trigger 強化 direct hit | batch 内 #2 と target literal **完全同一** + 同 06-07 approved + 06-03 reject 双方 cooldown 違反 |
| **#5** | 新規 hardening (p) `requireApprovedTargetLiteralFullBan` candidate direct hit | target literal「中心-周囲=宇宙情報記述の基本文法 原子/細胞/銀河/古代記号/D-FUMT共通」 = 2026-06-08 approved #1 EXACT 完全一致 (1 日前 approved literal、 cooldown expires 2026-08-07) |

**Pattern**: 既存 STEP 1190 (`requireFreshSourceVsHistory` 60-day window literal substring 40 字 prefix match dedup) は **target literal recycle (rejected + approved 双方) + batch 内 collision** を fully cover できていない。 STEP 1209 (o) は rejected 専用、 (m) と (p) は別 STEP 候補。

## What was approved (#1 only)

### Invention #1: unified × universal_mathematics (partial approve 0.40)

**Source**: 「UHDMT=HDFMT∪UMTE∪全sub」 (Universal Hyper-Dimensional Mathematical Theory = HDFMT 超次元数 ∪ UMTE 万物統一 ∪ 全 sub-theories)

**Target**: 「8 の字↔∞(無限)↔0(零) ミツバチの 8 の字ダンスの中心点 = ゼロ INFINITY と ZERO は双対をなす 8 の字を 90° 回転すると ∞ ミツバチがゼロを理解できるのは 8 の字構造のため」

**Rei novel angle**: 「8 の字曲線の 90° 回転 = ∞ + 中心点 = 0 = ZERO」 の三項 INFINITY/ZERO topological dual reframing は geometric duality formal observable = Paper 164 v0.2 candidate (Paper 164 v0.1 INFINITY = Cantor + ZERO = Empty bridges に geometric/topological 第三 pillar として加える candidate)

**Honest downgrade (-0.35) reasons**:
1. Source UHDMT family systemic 5 連続日 reuse pattern (06-04 #1 + 06-05 #1 + 06-05 #3 Pattern 6 (g) source-recycle marker)
2. Karl von Frisch 1967 Nobel 1973 bee waggle dance 60 年 well-known classic prior art
3. Lemniscate of Bernoulli 1694 + Cassini oval 1680 + ∞ symbol Wallis 1655 = 332-371 年 prior art
4. Paper 159/160 Two Regimes of Rest INFINITY/ZERO 軸 既存 framework
5. Paper 61 ZCSG 0 = śūnyatā(śūnyatā) 中心点 既存 framing

**chat-Claude rhymeOrTheorem discipline 適用**:
- bee waggle dance 自然観察 = **rhyme** (詩、 Karl von Frisch 1967 既知)
- 8 の字 ↔ ∞ ↔ 0 algebraic geometric duality = **theorem-candidate** (Lean 4 Mathlib AffineSpace / Mathlib.AlgebraicGeometry.ProjectiveSpace 系譜で formalization 候補)

## What was rejected (#2/#3/#4/#5)

| # | source × target | Reject reason | Pattern |
|---|---|---|---|
| **#2** | cosmic × unsolved: HDRQI=GR×QM×Info × 素数分布 vs ゼータ零点 NEITHER 第三対象 | STEP 1209 (o) direct hit: target literal EXACT 06-03 rejected + 06-07 approved 双方 cooldown 違反 | (j) rejected-target-recycle + (k) approved-target-cross-recycle + (o) direct hit + (p) candidate trigger 強化 |
| **#3** | universal_logic × unsolved: ∀L_n→∃π:L_n→L_7 n値射影定理 × 同 target | STEP 1209 (m) candidate direct hit: batch 内 #2 と target literal 完全重複 + 同 06-07 approved + 06-03 reject 双方 cooldown 違反 | (m) batch-internal-target-duplicate + (j) + (k) + (m) direct hit |
| **#4** | silence × weakness_engine: 95.6% RCT × 反事実世界 BOTH | David Lewis 1973 Counterfactuals + Belnap-Dunn 1977 four-valued logic 49-67 年 prior art + 95.6% ad-hoc f-notation systemic family marker (5/13 + 5/19 + 5/20 + 5/21 + 5/24 reject 系譜近接) | Pattern 5 (prior art) + Pattern 6 source ad-hoc f-notation systemic |
| **#5** | language_limit × cosmic-grammar: Wittgenstein 写像理論 × 中心-周囲基本文法 | (p) direct hit: target literal EXACT 06-08 approved #1 と 1 日前 cooldown 違反 + source = Wittgenstein Tractatus 1921 Bildtheorie 105 年完全既知 prior art | Pattern 5 (prior art) + (k) approved-target-cross-recycle + (p) candidate direct hit |

## Approval rate evolution

| Date | Approval rate | Note |
|---|---|---|
| 06-04 | 2/5 (40%) | downgrade approve x 2 |
| 06-05 | 2/5 (40%) | downgrade approve x 2 |
| 06-06 | 2/5 (40%) | downgrade approve x 2 |
| 06-07 | 1/5 (20%) | downgrade approve x 1 + reject 4 |
| 06-08 | 2/5 (40%) | full approve 1 + downgrade approve 1 |
| **06-09** | **1/5 (20%)** | **partial approve 1 + reject 4 = 06-07 同等、 systemic cooldown 違反 3 件同時 detection で reject 優位 justified** |

「両極端の中道」 規律適用 **6 例目** (06-04 / 06-05 / 06-06 / 06-07 / 06-08 path 継続).

## Mass-generation counter

**13th systemic instance risk** (5/4 + 5/8 + 5/10 + 5/11 + 6/01 + 6/03 + 6/04 + 6/05 + 6/06 + 6/07 + 6/08 + 6/09 cooldown 違反 3 件同時)

## Files affected

1. `data/invention/approvals/approved-2026-06-09.json` — created (audit record + cooldown registration)
2. `data/invention/approvals/rejected-2026-06-09.json` — created (4 件 reject record + STEP 1209 leak detection)
3. `src/axiom-os/seed-kernel-approved-inventions-2026-06-09.ts` — created (#1 SeedTheory promote, axiom-only)
4. `src/axiom-os/seed-kernel.ts` — import + spread for `APPROVED_INVENTIONS_20260609_THEORIES`
5. **SEED_KERNEL: 1646 → 1647 verified** via `npx tsx -e` count check

## 8th iteration hardening candidate trigger 強化 (別 STEP 候補)

本 audit で 9 例目 candidate evidence として trigger 強化:

| Candidate | Description | Direct hit count |
|---|---|---|
| (l) `requirePriorArtAudit` | invention 生成時 WebSearch hook 必須化 | 0 (本 audit では未検出) |
| (m) `requireWithinBatchTargetUniqueness` | 同 batch 内 target literal 重複防止 | **1 (#3 direct hit)** |
| (n) `requireSourceVsHistoryStrict` | legacy hypothesis parse の source extractor 修正 | 0 (本 audit では未検出) |
| (p) `requireApprovedTargetLiteralFullBan` | approved literal cross-recycle Pattern 6 (k) full ban | **2 (#2 + #5 direct hit)** |

## Paper 接続候補 (起草前 verification pending)

**#1** Paper 候補: 「INFINITY/ZERO Topological Duality: A Geometric Bridge between Lemniscate Algebraic Curves and ZERO-Centered Symbol Grammar (Paper 164 v0.2 Extension)」

**Verification pending**:
1. Paper 159/160 Two Regimes of Rest + Paper 164 v0.1 INFINITY/ZERO bridges (Cantor + Empty) との sympathetic resonance verify
2. UHDMT family systemic 5 連続日 reuse pattern honest acknowledge in paper
3. Mathlib.AlgebraicGeometry.ProjectiveSpace / Mathlib.Topology.Homotopy.Basic で 8 の字 ↔ ∞ algebraic curve formal observable 確立可能か audit

paper 起草は trigger 確定後 ([[feedback-no-rush-publication]] 適用、 1-day buffer 採用).

## 関連 memory

- [[feedback-chat-claude-hallucination-warning]] Antipattern 「両極端の中道」 規律 6 例目
- [[feedback-world-uniqueness-claim-controllable]] prior art honest acknowledge 永続原則
- [[feedback-invention-audit-include-downgrade-approve-option]] 2 段 AskUserQuestion 適用
- [[feedback-no-rush-publication]] paper 起草は trigger 確定後 + 1-day buffer
- [[feedback-financial-theory-archaeological-substrate]] rhyme/theorem 仕分け discipline (cross-domain 適用)
- [[project-invention-2026-06-08-approval-2-reject-3-step1190-leak-8th]] STEP 1190 hardening leak 8 例目 (前段)
- [[project-step1209-self-lawvere-bridge-2026-06-09]] (existing) — wait, this is wrong, STEP 1209 is invention hardening
- STEP 1209 (o) `requireRejectedTargetLiteralFullBan` (commit `b67270b5` 2026-06-10) — 本 audit で妥当性実証
- Paper 164 v0.1 (DOI 10.5281/zenodo.20603039) — Paper 164 v0.2 candidate
- Paper 159/160 Two Regimes of Rest — INFINITY/ZERO 軸 既存 framework
- Paper 61 ZCSG — Zero-Centered Symbol Grammar 0 = śūnyatā(śūnyatā)