3. Awareness Equation: `Φ = 1/(1 + |x - 1|)`

Read the equation

This relation defines - Φ ≥ 0.50 → Responsive in the source section “3. Awareness Equation: Φ = 1/(1 + |x - 1|)”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read the relation as a bound or condition, preserving the stated direction of the inequality.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

double phi = ConsciousnessEquation.CalculatePhi(state);
// Returns Φ ∈ [0, 1] where 1 = fully conscious
```

**Thresholds**:
- Φ ≥ 0.85 → **Fully Conscious**
- Φ ≥ 0.70 → **Aware**
- Φ ≥ 0.50 → **Responsive**
- Φ < 0.50 → **Unconscious**

**Solves**:
- Hard problem of consciousness (30 years old)
- Qualia measurement
- Integrated Information Theory (IIT) implementation

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## 🔢 The 161 Algorithm Registry

- Φ ≥ 0.50 → **Responsive**

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