AGI STATE CLASS - MAIN STATE CONTAINER · dΨ/dt

Read the equation

This relation defines dΨ/dt in the source section “AGI STATE CLASS - MAIN STATE CONTAINER · dΨ/dt”. 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 dΨ/dt 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

        const { families } = this.state;

        // Evolve Ψ for each family
        for (let f = 0; f < SEFERIM_CONFIG.NUM_FAMILIES; f++) {
            const family = families[f];
            const meanPhi = family.meanCoherence();

            // dΨ/dt = -γ(Ψ - w·φ̄) + η·σ(Σⱼ Jᵢⱼφⱼ - θ)
            const gamma = 0.1;  // Decay rate
            const w = 0.5;      // Target coupling

            // Resonance input from other families
            let resonanceInput = 0;
            for (let j = 0; j < SEFERIM_CONFIG.NUM_FAMILIES; j++) {
                resonanceInput += this.resonanceWeights[f][j] * families[j].meanCoherence();
            }

            // Sigmoid activation of resonance

dΨ/dt = -γ(Ψ - w·φ̄) + η·σ(Σⱼ Jᵢⱼφⱼ - θ)

Related builds