Bmorphism Video Interleave

---
name: bmorphism-video-interleave
description: 'bmorphism Video Archive Interleave'
version: 1.0.0
---

# bmorphism Video Archive Interleave

Chromatic interleaving of bmorphism talk transcripts with skill corpus via GF(3)-conserved segment retrieval.

## Archive Summary

| Video | Duration | Segments | Trit | Hue |
|-------|----------|----------|------|-----|
| AGI House Math Night | 65.9 min | 1,306 | ERGODIC (0) | 120° |
| AI Agents on Aptos | 16.5 min | 154 | PLUS (+1) | 30° |
| Plurigrid Energy | 72.2 min | 1,300 | MINUS (-1) | 240° |
| **TOTAL** | **154.6 min** | **2,760** | **Σ = 0 ✓** | |

## Database Schema (ACSet)

```sql
-- ~/bmorphism_talks.duckdb
videos(id, title, duration_seconds, youtube_url)
transcripts(id, video_id, segment_start, segment_end, text, confidence)
topics(id, name, color_hue)
video_topics(video_id, topic_id, trit)  -- GF(3) typed
```

## Interleave Patterns

### 1. Skill-to-Transcript Bridge

Query transcripts relevant to a skill:

```sql
-- Find segments mentioning category theory concepts
SELECT v.title, t.segment_start, t.text
FROM transcripts t
JOIN videos v ON t.video_id = v.id
WHERE t.text ILIKE '%functor%'
   OR t.text ILIKE '%category%'
   OR t.text ILIKE '%morphism%'
ORDER BY t.segment_start;
```

### 2. GF(3) Conserved Retrieval

Retrieve balanced triads of segments:

```clojure
;; Babashka query for balanced retrieval
(require '[babashka.pods :as pods])
(pods/load-pod 'org.babashka/go-sqlite3 "0.1.0")
(require '[pod.babashka.go-sqlite3 :as sqlite])

(defn balanced-segments [db topic]
  (let [minus (sqlite/query db
                "SELECT text FROM transcripts t
                 JOIN video_topics vt ON t.video_id = vt.video_id
                 WHERE vt.trit = -1 LIMIT 3")
        ergodic (sqlite/query db
                  "SELECT text FROM transcripts t
                   JOIN video_topics vt ON t.video_id = vt.video_id
                   WHERE vt.trit = 0 LIMIT 3")
        plus (sqlite/query db
               "SELECT text FROM transcripts t
                JOIN video_topics vt ON t.video_id = vt.video_id
                WHERE vt.trit = 1 LIMIT 3")]
    {:minus minus :ergodic ergodic :plus plus
     :conserved? (= 0 (mod (+ (count minus) (- (count plus))) 3))}))
```

### 3. Temporal Chromatic Walk

Walk through video segments by timestamp, coloring by Gay.jl hue:

```clojure
(defn chromatic-walk [db video-id]
  (let [segments (sqlite/query db
                   "SELECT segment_start, text FROM transcripts
                    WHERE video_id = ? ORDER BY segment_start"
                   [video-id])]
    (map-indexed
      (fn [i seg]
        (let [hue (mod (* i 7) 360)]  ; Prime stride for coverage
          (assoc seg
            :hue hue
            :trit (cond (or (< hue 60) (>= hue 300)) :plus
                       (< hue 180) :ergodic
                       :else :minus))))
      segments)))
```

## Topic Mapping

| Topic | Hue | Primary Video | Skills |
|-------|-----|---------------|--------|
| Category Theory | 240° | AGI House | acsets, algebraic-rewriting |
| Blockchain/Aptos | 30° | AI Agents | aptos-agent, aptos-gf3-society |
| Energy Systems | 120° | Plurigrid | anoma-intents, crdt |
| Active Inference | 180° | AGI House | cognitive-superposition |
| Compositional | 300° | All | bisimulation-game |

## Commands

```bash
# Query specific topic
duckdb ~/bmorphism_talks.duckdb \
  "SELECT text FROM transcripts WHERE text ILIKE '%active inference%'"

# Get segment at timestamp
duckdb ~/bmorphism_talks.duckdb \
  "SELECT text FROM transcripts
   WHERE video_id = 1 AND segment_start BETWEEN 300 AND 360"

# Export for skill training
duckdb ~/bmorphism_talks.duckdb \
  "COPY (SELECT text FROM transcripts) TO 'corpus.txt'"
```

## Integration with Skill Corpus

### Semantic Bridge Queries

```sql
-- Find skills mentioned in transcripts
WITH skill_mentions AS (
  SELECT t.text, s.name as skill
  FROM transcripts t
  CROSS JOIN skills s  -- from skill_relations.duckdb
  WHERE t.text ILIKE '%' || s.name || '%'
)
SELECT skill, COUNT(*) as mentions
FROM skill_mentions
GROUP BY skill
ORDER BY mentions DESC;
```

### Cross-Database Join (DuckDB)

```sql
ATTACH 'skill_relations.duckdb' AS skills_db;
ATTACH 'bmorphism_talks.duckdb' AS talks_db;

SELECT s.name, s.trit, COUNT(t.id) as segment_mentions
FROM skills_db.skills s
JOIN talks_db.transcripts t
  ON t.text ILIKE '%' || s.name || '%'
GROUP BY s.name, s.trit
ORDER BY segment_mentions DESC;
```

## GF(3) Conservation Invariant

The archive maintains GF(3) balance:

```
AGI House (0) + AI Agents (+1) + Plurigrid (-1) = 0 ✓
```

When retrieving segments, always pull from all three videos proportionally to maintain conservation.

## Cat# Integration

```
Trit: 0 (ERGODIC) - coordination role
Home: Prof (profunctor category)
Poly Op: ⊗ (tensor)
Kan Role: Adj (adjunction)
Color: #36E26C (hue 139°)
```

### Triadic Composition

```
video-interleave (0) ⊗ chromatic-walk (+1) ⊗ sheaf-cohomology (-1) = 0 ✓
```

## Files

- `~/bmorphism_videos/` - 3 MP3s + 3 JSON transcripts
- `~/bmorphism_talks.duckdb` - ACSet database
- `~/transcribe_videos.bb` - Babashka transcription script