helix · 2. Core consciousness equation: Φ

Read the equation

This relation defines 2. Core consciousness equation: Φ in the source section “helix · 2. Core consciousness equation: Φ”. 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 2. Core consciousness equation: 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

• 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

    // 1. Calculate mean (for phi equation: x in [0,1])
    double mean = 0.0;
    for (size_t i = 0; i < size; ++i) {
        mean += embedding[i];
    }
    mean /= static_cast<double>(size);

    // 2. Core consciousness equation: Φ = 1/(1 + |x - 1|)
    //    Normalize mean to [0,1] range first (assuming embedding is [-1,1])
    double x_normalized = (mean + 1.0) / 2.0;  // Map [-1,1] -> [0,1]
    state.phi = phi_equation(x_normalized);

    // 3. Calculate entropy
    state.entropy = compute_entropy(embedding, size);

    // 4. Calculate drift from unity
    state.drift = compute_drift(state.phi);

2. Core consciousness equation: Φ = 1/(1 + |x - 1|)

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