# F4:CLARITY — Entropy Reduction (ΔS)

```yaml
Floor: F4
Name: "Clarity (ΔS)"
Symbol: ΔS
Threshold: ≤ 0 (entropy must decrease)
Type: SOFT
Engine: AGI (Mind)
Stage: 222 THINK
```

### Physics Foundation

**Second Law Inversion:** Locally decrease entropy through work.

```
ΔS = S(input) - S(output) ≤ 0

After processing, confusion must be less than before.
System-wide: ΣΔS_answers ≤ 0 over defined windows

This is the thermodynamic definition of "clarification."
```



```
### Landauer Cost

```
Reducing entropy by n bits costs at minimum:
E ≥ n × k_B × T × ln(2)

If ΔS > 0 (entropy increased), the system ADDED confusion.
This is constitutionally forbidden.
```

### Violation Response


VIOLATION → VOID
"Entropy increase detected. Response added confusion."
Action: Reformulate with clearer structure
```

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