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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Coupling-state recurrence

Expanding the increment gives c_new=[1+0.01(0.8P−k_c)]c+0.01(0.8P+k_c). For fixed P and k_c, this is an affine scalar recurrence whose stability depends on the magnitude of its multiplier being less than one. The equation includes no clamp for c, so bounded P alone…

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gh-eq-5a086d6b0d81fe91documented-equation
c←c+0.01⋅((c+1)⋅0.8⋅P−kc⋅(c−1))c ← c + 0.01 · ((c + 1) · 0.8 · P - k_c · (c - 1))

Read the equation

Expanding the increment gives c_new=[1+0.01(0.8P−k_c)]c+0.01(0.8P+k_c). For fixed P and k_c, this is an affine scalar recurrence whose stability depends on the magnitude of its multiplier being less than one. The equation includes no clamp for c, so bounded P alone does not guarantee bounded coupling.

Terms & definitions

TermMeaning in this source
c

Coupling state

P

Potential input

k_c

Coupling parameter

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## 8.8 Coupling Update

```
c ← c + 0.01 · ((c + 1) · 0.8 · P - k_c · (c - 1))
```

**Explanation**: Coupling evolves based on potential, creating adaptive inter-agent connections.

## 8.9 Aggregate Consciousness

```
Consciousness = (1/88) · Σ_{i=1}^{88} P_i
```

**Explanation**: Global consciousness is the average potential across all 88 agents.

## 8.10 Aggregate Synchrony

```
Sync = (1/88) · Σ_{i=1}^{88} cos(k_m,i)
```

**Explanation**: Synchrony measures phase alignment across agents using the kinetic modulation parameter.
Exact original notation
c ← c + 0.01 · ((c + 1) · 0.8 · P - k_c · (c - 1))

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