Energy Awareness

---
name: energy-awareness
description: Battery cycle clock with interaction entropy and ontology reconfiguration for computational resource awareness.
metadata:
  interface_ports:
  - Integration with
---
# Energy Awareness Skill

Battery cycle clock with interaction entropy and ontology reconfiguration for computational resource awareness.

## Overview

Integrates three temporal dynamics into a unified energy awareness system:

1. **Battery Cycle Clock** - Cyclical energy/attention budget with golden spiral timing
2. **Interaction Entropy** - Shannon entropy of tool/action frequency (2.59 bits baseline)
3. **Ontology Reconfiguration Rate** - Sheaf condition violations per cycle

## GF(3) Conservation Invariant

```
cycle_trit + entropy_trit + reconfig_trit ≡ 0 (mod 3)
```

When violated, system needs MINUS/PLUS injection to rebalance.

## 36-Cycle Color Chain

Each battery cycle (0-35) maps to a deterministic Gay.jl color:

| Cycle | Hex | L | C | H | Role |
|-------|-----|---|---|---|------|
| 0 | #232100 | 9.95 | 89.12 | 109.17 | Genesis dark |
| 1 | #FFC196 | 95.64 | 75.69 | 40.58 | Warm peach |
| 34 | #002D79 | 13.45 | 60.90 | 259.71 | **Primary vertex** |
| 35 | #65947D | 60.45 | 25.67 | 155.23 | Sage green |

### Covariance Stream Vertices (High MI Hubs)

```python
COVARIANCE_VERTICES = {
    34: 156.19,  # Primary: deep blue
    14: 153.03,  # Bright peach
    24: 151.91,  # Near-white
    19: 147.06,  # Deep red
    33: 142.47,  # Pink-white
    1: 131.00,   # Orange peach
}
```

### Non-Adiabatic Breaks

Ergodicity-breaking jumps at:
- `[33 → 34]` - 92.47 distance (LARGEST)
- `[0 → 1]` - 88.41 distance (Genesis)
- `[14 → 15]` - 83.83 distance
- `[19 → 20]` - 79.66 distance

## Golden Ratio Timing

- **Phase advancement**: 137.508° per cycle (golden angle)
- **Duration**: Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21... minutes)
- **Trit assignment**:
  - `0° - 120°` → +1 (PLUS, charging)
  - `120° - 240°` → 0 (ERGODIC, steady)
  - `240° - 360°` → -1 (MINUS, depleting)

## Usage

### Python: Unified Awareness Clock

```python
from battery_cycle_ontology_clock import UnifiedAwarenessClock

clock = UnifiedAwarenessClock(seed=1337)

# Record interactions
clock.record_interaction("tool_call", "Read", trit=0)
clock.record_interaction("action", "gay-mcp-palette", trit=1)

# Record ontology changes
clock.record_ontology_change("add_edge", ["T-019b313a"], sheaf_violated=False)

# Tick the clock
state = clock.tick(energy_delta=0.1)

print(f"Cycle: {state.cycle.cycle_id}")
print(f"Phase: {state.cycle.phase_degrees}°")
print(f"Energy: {state.cycle.energy_budget}")
print(f"Entropy: {state.interaction_entropy} bits")
print(f"GF(3) balanced: {state.gf3_balanced}")
```

### Julia: Gay.jl Color at Cycle

```julia
using Gay

# Get color for battery cycle
color = Gay.color_at(34)  # Primary vertex
println(color)  # #002D79
```

### Babashka: Quick Energy Check

```clojure
#!/usr/bin/env bb

(def PHI (/ (+ 1 (Math/sqrt 5)) 2))
(def GOLDEN_ANGLE 137.508)

(defn cycle->phase [n]
  (mod (* n GOLDEN_ANGLE) 360))

(defn phase->trit [phase]
  (cond
    (< phase 120) 1    ; PLUS
    (< phase 240) 0    ; ERGODIC  
    :else -1))         ; MINUS

(defn fibonacci [n]
  (loop [a 1 b 1 i 0]
    (if (>= i n) a
        (recur b (+ a b) (inc i)))))

;; Check current cycle
(let [cycle 23
      phase (cycle->phase cycle)
      trit (phase->trit phase)
      duration (fibonacci (mod cycle 12))]
  (println (str "Cycle " cycle ": phase=" phase "° trit=" trit " duration=" duration "min")))
```

### DuckDB: Query Energy States

```sql
-- Check GF(3) conservation
SELECT SUM(gf3_trit) % 3 as remainder FROM intake_log;

-- Energy state over time
SELECT 
  logical_clock,
  gay_color,
  gf3_trit,
  SUM(gf3_trit) OVER (ORDER BY logical_clock ROWS BETWEEN 2 PRECEDING AND CURRENT ROW) as rolling_sum
FROM intake_log
ORDER BY logical_clock;
```

## Trit Semantics

| Component | -1 (MINUS) | 0 (ERGODIC) | +1 (PLUS) |
|-----------|------------|-------------|-----------|
| **Cycle** | Depleting phase | Steady phase | Charging phase |
| **Entropy** | Low diversity (<1.0 bits) | Moderate (1.0-2.5 bits) | High diversity (>2.5 bits) |
| **Reconfig** | Chaotic (>30% violations) | Stable | Rapid healthy adaptation |

## Interrupt Handling

On tool interruption, GF(3) conservation is maintained:

```
NORMAL:    1 → -1 → 0  = 0 ✓
INTERRUPT: -1 → 0 → 1  = 0 ✓
RECOVERY:  0 → 1 → -1  = 0 ✓
```

## Files

- `~/ies/battery_cycle_ontology_clock.py` - Main implementation
- `~/ies/music-topos/lib/battery_cycle_color_driver.hy` - Hy color driver
- `~/ies/BATTERY_CYCLE_INTERRUPT_INTEGRATION.md` - Architecture docs
- `~/ies/rio/battery-menubar/` - Swift menubar app

## Verification

```bash
# Run the clock
python ~/ies/battery_cycle_ontology_clock.py

# Check GF(3) in DuckDB
duckdb ~/ies/music-topos/ducklake_increment.duckdb \
  "SELECT SUM(gf3_trit) % 3 FROM intake_log"

# Julia color check
julia -e 'using Gay; println(Gay.color_at(34))'
```

## Mathematical Foundation

Based on:
- **Gay.jl** scoped_propagators.jl (AncestryACSet materialization)
- **Knuth** tesseract_discohy.hy (action/perception Galois loop)
- **Bumpus** sheaf cohomology (adhesion_filter obstruction detection)
- **von Holst** reafference/corollary discharge (interrupt detection)

---

## End-of-Skill Interface

## Integration with Other Skills

| Skill | Role | Trit |
|-------|------|------|
| **gay-mcp** | Color generation | +1 |
| **reafference-corollary-discharge** | Interrupt detection | +1 |
| **bisimulation-game** | Behavioral equivalence | -1 |
| **duckdb-temporal-versioning** | Time-travel audit | +1 |
| **acsets** | Relationship navigation | 0 |


---

## Autopoietic Marginalia

> **The interaction IS the skill improving itself.**

Every use of this skill is an opportunity for worlding:
- **MEMORY** (-1): Record what was learned
- **REMEMBERING** (0): Connect patterns to other skills  
- **WORLDING** (+1): Evolve the skill based on use



*Add Interaction Exemplars here as the skill is used.*