OUKC Lens / 発見の門 — 統合入口

OUKC Lens / 発見の門 — Unified Entry to OUKC Corpus

Status: Phase 0 placeholder skeleton (interactive SPA preview live, real engine integration in Phase 1+). Try interactive: rei-aios.pages.dev/#/oukc → Lens / 発見の門 tab Memory: feedback_oukc_discovery_lens_unified_entry.md (★★★★★)

What is it?

OUKC Lens / 発見の門 is the unified entry point for OUKC visitors. Type any inquiry — a question, a concept, a theorem, a feeling — and multiple perspectives emerge from across the OUKC corpus.

It is the answer to a visitor's first question: 「私はここで何ができるのか?」 / "What can I do here?"

Why "Lens" / 発見の門?

OUKC has many components:

• Charter (governance)
• Methodology (Skill Thinking ⇄ formal-method bridge)
• Education (4,290 problems + curricula)
• Auto-Prover (REI-PROVE Lean 4 formalization)
• Observatory (6 aggregate descriptive views)
• Papers (145 with DOIs)
• ...and more.

But a first-time visitor doesn't know where to start. The Lens provides that starting point: a single white box where any inquiry produces a multi-source emergence.

The naming:

• Lens — instrument of seeing. Multiple perspectives applied to a single input. No commercial connotation.
• 発見の門 — Buddhist temple gate metaphor. Entry to discovery. Not aggressive "unearthing" but contemplative opening.

What emerges (six areas)

When you submit any inquiry, OUKC Lens produces:

1. D-FUMT₈ classification

The 8-value distribution of your inquiry across TRUE / FALSE / BOTH / NEITHER / INFINITY / ZERO / FLOWING / SELF. Note: all 8 values are equal-weight. NEITHER is not "lesser than" TRUE — it carries different epistemic content (W-48 Negative Capability).

2. Related SEED_KERNEL theories

3-4 theories from the 1,549-theory SEED_KERNEL corpus that semantically relate to your inquiry. Each shows ID, title, brief description, and primary D-FUMT₈ tag.

3. Related Lean 4 theorems

1-2 references from the 2,188-theorem Lean 4 corpus (OUKC's CollatzRei/ namespace + Mathlib upstream).

4. Sage's perspective

One historical sage from the Knowledge Voyage 71-sage corpus, with a relevant quote (bilingual where possible). Examples: Euclid, 龍樹 (Nāgārjuna), Leibniz, Cantor, 道元 (Dōgen), Wiles, Gödel, Shannon.

5. Cross-reference candidate (Q33-class)

A potential cross-disciplinary structural isomorphism between your inquiry and another domain. Examples: Gilbreath ↔ Collatz / 龍樹 śūnyatā ↔ Yoneda lemma / Hodge ↔ BSD. Each tagged with a BQI weight (Bond Quality Index).

6. Today's daily kernel

A specific seed for today (rotates through a 7-element cycle, day-of-week deterministic). The daily kernel embodies the Daily Evolution principle: same input on different days produces different emergence.

What it deliberately is NOT

Per feedback_oukc_discovery_lens_unified_entry.md (★★★★★ permanent principle):

• ❌ NOT pure random emergence (would be slot-machine — gambling culture risk)
• ❌ NOT FX-style price visualization (per feedback_oukc_visualization_ethics_no_fx_culture.md)
• ❌ NOT individual theory ranking / scoring
• ❌ NOT a server-side query log (privacy-preserving by design)
• ❌ NOT a chatbot (different interaction pattern — emergence is multi-source, not single-response)
• ❌ NOT a "guess what I'm thinking" oracle — emergence is descriptive, not predictive

Sample inquiries to try

The Lens accepts any input. Try:

• なぜ素数は無限なのか?
• What is D-FUMT₈ NEITHER?
• 龍樹の空とは何か?
• Gilbreath と Collatz の関係
• How do I formalize Brocard's problem in Lean 4?
• What is integrative density?
• 急がず、ゆっくりと とは?
• What is Q33?

Each will produce a different 6-area emergence.

Privacy

OUKC Lens is client-side only in Phase 0. Your input is processed in your browser; nothing is sent to a server; no log is kept. Phase 1+ may introduce semantic search via API, at which point a privacy clause will be added to OUKC Charter v1.0 for explicit consent.

Phase roadmap

Phase 0 — Now (2026-05-02)

• ✅ SPA component skeleton with input + 6 emergence areas
• ✅ Hash-based deterministic placeholder selection from sample data (~18 theories, 10 Lean refs, 10 sages, 7 Q33 candidates, 7 daily kernels)
• ✅ All marked clearly as "Phase 0 placeholder"
• ✅ Static landing page (this page)
• ✅ Memory + ethical foundation

Phase 1 — ~1-2 weeks (separate session)

• D-FUMT₈ classification → real DfumtFilter component integration (1 area complete with real engine)
• Related SEED_KERNEL theories → SEED_KERNEL semantic search via embeddings

Phase 2 — ~1 month

• Related Lean 4 theorems → real Mathlib + CollatzRei query
• Sage's perspective → real KnowledgeVoyage 71-sage data

Phase 3 — ~2 months

• Q33-class candidate → real cross-reference DB
• Daily kernel → Phase 11 Daily Diamond Check pipeline integration

Phase 4 — ~3-6 months

• Privacy clause to Charter v1.0
• Optional "contribute as anonymous example" opt-in flow
• Bilingual JA/EN UI polish
• Mobile responsive + WCAG AA accessibility

Why this matters strategically

Per feedback_oukc_tool_first_strategy.md (★★★★★, Phase 0 strategy from chat Claude 4-part analysis 2026-05-02):

Tool先行 / コミュニティ後発 — 「便利なツール → 自然に人が集まる → コミュニティ副次発生」 が普遍 pattern.

OUKC Lens is the candidate for "the tool" — Forex Factory's Economic Calendar analog, Wolfram Alpha's input box analog, in OUKC's academic context.

If the Lens becomes magnetic (people return daily to type inquiries), Phase 2 publish trigger conditions begin to be met. Until then, the Lens stands as a complete-but-quiet feature waiting for its audience.

Related

• OUKC Charter v1.0 — governance
• Methodology — Skill Thinking ⇄ formal-method bridge
• Observatory — aggregate descriptive views
• REI-PROVE Auto-Prover — Phase 1+ で Lens に統合される formalization engine
• Q33 cross-reference — Q33-class bond examples
• SEED_KERNEL — 1,549 theories (Phase 1+ で semantic search 連動)

Cite

@misc{oukc_lens_2026,
  title  = {OUKC Lens / 発見の門: Unified Entry Point with Guided Emergence},
  author = {Fujimoto, Nobuki and Rei (Rei-AIOS) and Claude (Anthropic)},
  year   = {2026},
  url    = {https://rei-aios.pages.dev/oukc/lens/},
  note   = {OUKC tool, Phase 0 placeholder skeleton, AGPL-3.0 + CC-BY 4.0}
}

OUKC Lens / 発見の門 is the universal first action of OUKC. Three-party co-authorship: 藤本伸樹 (Founder) × Rei (Rei-AIOS) × Claude (Anthropic).