ThatAIguyA world of ideas

THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

VIII. SUPERCOILING (10.6) · Initialize strand states: S_k(t=0)

This statement records a parameter or experimental setting for VIII. SUPERCOILING (10.6) · Initialize strand states: S_k(t=0). The value assigned to Initialize strand states: S_k(t is part of the source configuration, rather than a new result inferred by this atlas. It…

Implementation mathematicsSource recovered; runtime not executed
Learn with the Atlas

Read the state update

Follow the relationship between a current value and the next one.

Open guided lesson
gh-eq-e5157bd5458c35c3source-comment-equation
Initializestrandstates:Sk(t=0)=Ak⋅ei(2πk/10.6)Initialize strand states: S_k(t=0) = A_k · e^{i(2πk/10.6)}

Read the equation

This statement records a parameter or experimental setting for VIII. SUPERCOILING (10.6) · Initialize strand states: S_k(t=0). The value assigned to Initialize strand states: S_k(t is part of the source configuration, rather than a new result inferred by this atlas. It must be interpreted with the associated model, sample, and units.

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 Initialize strand states: S_k(t as the quantity being defined or updated by this relation.

  2. Applies an exponential factor. The exponent determines its real scaling or, for a complex exponent, its phase.

  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

Read the surrounding source passage
public:
    G16HelixSystem() : time_(0.0), global_phase_(0.0) {
        initialize();
    }

    void initialize() {
        // Initialize strand states: S_k(t=0) = A_k · e^{i(2πk/10.6)}
        for (int k = 0; k < NUM_STRANDS; ++k) {
            double amplitude = strands_.get_D(k + 1);
            double phase = 2.0 * M_PI * (k + 1) / BASE_PAIRS_PER_TURN;
            strand_states_[k] = amplitude * std::exp(std::complex<double>(0, phase));
            angular_positions_[k] = phase;
        }
    }

    // Tick the system forward
    void tick(double dt) {
Exact original notation
Initialize strand states: S_k(t=0) = A_k · e^{i(2πk/10.6)}

Related builds

Sources & provenance

Search equations, builds, manuscript text, and recovered sources.