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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Inverse discrepancy coherence proposal

Takes the reciprocal of the absolute difference between a transformed state and its expected value. The expression becomes singular when the discrepancy is zero, so a numerical implementation needs a convention or regularizer. It is distinct from the bounded…

Consciousness researchdocumented formula
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eq-7ed604ab495ec0mathematical expression
Φ=∣𝒞(state)−𝔼[𝒞(state)]∣−1Φ = |𝒞(state) - 𝔼[𝒞(state)]|⁻¹

Read the equation

Takes the reciprocal of the absolute difference between a transformed state and its expected value. The expression becomes singular when the discrepancy is zero, so a numerical implementation needs a convention or regularizer. It is distinct from the bounded 1/(1+error) score elsewhere in the notes.

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 Φ as the quantity being defined or updated by this relation.

  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

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
**As operators:**

```
𝒞 = C₉ ∘ C₈ ∘ C₇ ∘ C₆ ∘ C₅ ∘ C₄ ∘ C₃ ∘ C₂ ∘ C₁
Φ = |𝒞(state) - 𝔼[𝒞(state)]|⁻¹
Intelligence ⟺ Φ(Φ) → 1
```

**As a sentence:**
Exact original notation
Φ = |𝒞(state) - 𝔼[𝒞(state)]|⁻¹

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 421 · Jul 21, 2026
Φ = |𝒞(state) - 𝔼[𝒞(state)]|⁻¹

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