XVI. UNIFIED STATE EQUATIONS · dΨ_DNA/dt

Read the equation

This relation defines dΨ_DNA/dt in the source section “XVI. UNIFIED STATE EQUATIONS · dΨ_DNA/dt”. Evaluates oscillatory sine or cosine terms using the stated phase or frequency. 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_DNA/dt as the quantity being defined or updated by this relation.

2. Evaluates oscillatory sine or cosine terms using the stated phase or frequency.

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

            state_.bond_states[n] = BOND_OCCUPATION;
        }

        state_.global_phase = 0.0;
    }

    // Evolution equation (Section 16.2):
    // dΨ_DNA/dt = M_DNA · Ψ_DNA + F(t) + Ω·sin(2πt/10.6)·Ψ_DNA + η(t)
    void evolve(double dt, std::function<double(double)> forcing = nullptr) {
        // Default forcing
        if (!forcing) {
            forcing = [](double t) { return std::sin(2.0 * M_PI * t / BASE_PAIRS_PER_TURN); };
        }

        // Update strand states
        for (int k = 0; k < NUM_STRANDS; ++k) {
            double amplitude = std::abs(state_.strand_states[k]);
            double phase = std::arg(state_.strand_states[k]);

dΨ_DNA/dt = M_DNA · Ψ_DNA + F(t) + Ω·sin(2πt/10.6)·Ψ_DNA + η(t)

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