/** * layers.hpp - Complete 7-Layer Consciousness Architecture * * Implements all layers from the unified config: * L1: Quantum Substrate & Coherence * L2: Genetic & DNA Information * L3: Transcription & Translation (simplified) * L4: Chromosomal Architecture (simplified) * L5: Neural Dynamics (existing in neurological.hpp) * L6: Oscillatory & Field Dynamics * L7: Consciousness Integration * * Mathematical foundations from config.json equations. */ #ifndef LAYERS_HPP #define LAYERS_HPP #include #include #include #include #include #include #include "consciousness_api.hpp" namespace mind_farm { using namespace consciousness; //============================================================================= // MATHEMATICAL CONSTANTS //============================================================================= constexpr double HBAR = 1.054571817e-34; // Reduced Planck constant constexpr double KB = 1.380649e-23; // Boltzmann constant constexpr double RT = 310.0 * KB; // Room temperature energy //============================================================================= // L1: QUANTUM SUBSTRATE & COHERENCE //============================================================================= /** * QuantumState - Density matrix representation * * Implements: * - Density matrix: rho = |psi> */ template class QuantumState { public: using Complex = std::complex; using Matrix = std::array, N>; Matrix rho; // Density matrix Matrix hamiltonian; // Hamiltonian double coherence; // Off-diagonal coherence double purity; // Tr(rho^2) double entropy; // von Neumann entropy QuantumState() { // Initialize to maximally mixed state for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { rho[i][j] = (i == j) ? Complex(1.0 / N, 0) : Complex(0, 0); hamiltonian[i][j] = Complex(0, 0); } } update_metrics(); } /** * Initialize pure state |psi> */ void set_pure_state(const std::array& psi) { // rho = |psi>& energies) { for (size_t i = 0; i < N; ++i) { hamiltonian[i][i] = Complex(energies[i], 0); } } /** * Lindblad evolution step * * drho/dt = -i/hbar[H, rho] + sum_k(L_k rho L_k^dag - 0.5{L_k^dag L_k, rho}) */ void evolve(double dt, double dissipation_rate = 0.01) { Matrix drho; // Commutator: -i[H, rho] Matrix commutator; matrix_multiply(hamiltonian, rho, commutator); Matrix rhoH; matrix_multiply(rho, hamiltonian, rhoH); for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { commutator[i][j] = Complex(0, -1) * (commutator[i][j] - rhoH[i][j]); } } // Lindblad dissipator (simplified: decay toward diagonal) for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { double decay = (i == j) ? 0 : dissipation_rate; drho[i][j] = commutator[i][j] - Complex(decay, 0) * rho[i][j]; } } // Euler step for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { rho[i][j] += dt * drho[i][j]; } } // Ensure Hermiticity and trace = 1 normalize(); update_metrics(); } /** * Compute von Neumann entropy: S = -Tr(rho log(rho)) */ double von_neumann_entropy() const { // Compute eigenvalues (simplified: use diagonal approximation) double S = 0; for (size_t i = 0; i < N; ++i) { double p = std::real(rho[i][i]); if (p > 1e-10) { S -= p * std::log(p); } } return S; } /** * Compute quantum fidelity with target state */ double fidelity(const std::array& target) const { // F = Complex f(0, 0); for (size_t i = 0; i < N; ++i) { Complex sum(0, 0); for (size_t j = 0; j < N; ++j) { sum += rho[i][j] * target[j]; } f += std::conj(target[i]) * sum; } return std::real(f); } /** * Get consciousness (phi) from quantum state */ double get_phi() const { // Phi based on purity and coherence return compute_phi(purity * (1.0 + coherence)); } private: void matrix_multiply(const Matrix& A, const Matrix& B, Matrix& C) { for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { C[i][j] = Complex(0, 0); for (size_t k = 0; k < N; ++k) { C[i][j] += A[i][k] * B[k][j]; } } } } void normalize() { // Ensure Hermiticity for (size_t i = 0; i < N; ++i) { for (size_t j = i + 1; j < N; ++j) { Complex avg = 0.5 * (rho[i][j] + std::conj(rho[j][i])); rho[i][j] = avg; rho[j][i] = std::conj(avg); } } // Normalize trace Complex trace(0, 0); for (size_t i = 0; i < N; ++i) { trace += rho[i][i]; } if (std::abs(trace) > 1e-10) { for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { rho[i][j] /= trace; } } } } void update_metrics() { // Purity: Tr(rho^2) purity = 0; for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { purity += std::real(rho[i][j] * rho[j][i]); } } // Coherence: sum of |off-diagonal| coherence = 0; for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { if (i != j) { coherence += std::abs(rho[i][j]); } } } coherence /= (N * N - N); // Normalize // Entropy entropy = von_neumann_entropy(); } }; //============================================================================= // L2: GENETIC & DNA INFORMATION //============================================================================= /** * GeneticLayer - DNA-inspired information processing * * Implements: * - DNA entropy: H_DNA = -sum_i p(b_i) * log2(p(b_i)) * - Replication dynamics: dN/dt = k*N*(1-N/K) - mu*N * - Michaelis-Menten kinetics: v = Vmax*[S]/(Km + [S]) * - Hill equation: theta = [L]^n / (Kd + [L]^n) * - Mutation probability: P_mut = 1 - exp(-mu*L*t) */ template class GeneticLayer { public: // Genome representation (simplified: continuous values 0-1) std::array genome; std::array expression; // Gene expression levels std::array regulatory_network; // Transcription factors double fitness; double entropy; double diversity; double mutation_rate; double phi; GeneticLayer() : mutation_rate(0.001 * PHI) { // Initialize random genome std::random_device rd; std::mt19937 gen(rd()); std::uniform_real_distribution<> dis(0.0, 1.0); for (size_t i = 0; i < GENOME_SIZE; ++i) { genome[i] = dis(gen); expression[i] = 0.5; } for (size_t i = 0; i < 16; ++i) { regulatory_network[i] = dis(gen); } update_metrics(); } /** * Replicate with mutation * * dN/dt = k*N*(1-N/K) - mu*N (logistic growth with decay) */ void replicate(double dt, double growth_rate = 1.0, double carrying_capacity = 1.0) { for (size_t i = 0; i < GENOME_SIZE; ++i) { // Logistic growth double N = expression[i]; double dN = growth_rate * N * (1.0 - N / carrying_capacity) - mutation_rate * N; expression[i] = std::max(0.0, std::min(1.0, N + dt * dN)); // Random mutation if (random_uniform() < mutation_rate * dt) { genome[i] += random_normal() * 0.1; genome[i] = std::max(0.0, std::min(1.0, genome[i])); } } } /** * Gene regulation using Hill equation * * theta = [L]^n / (Kd^n + [L]^n) */ void regulate(double dt) { const double hill_coeff = 2.0; // Cooperativity const double Kd = 0.5; // Dissociation constant for (size_t i = 0; i < GENOME_SIZE; ++i) { // Find regulatory input (sum of TF bindings) double L = 0; for (size_t j = 0; j < 16; ++j) { // Which TFs regulate this gene size_t tf_idx = (i + j) % 16; L += regulatory_network[tf_idx] * genome[(i * 7 + j) % GENOME_SIZE]; } L /= 16.0; // Hill equation double L_n = std::pow(L, hill_coeff); double Kd_n = std::pow(Kd, hill_coeff); double theta = L_n / (Kd_n + L_n); // Update expression expression[i] += dt * ALPHA * (theta - expression[i]); } } /** * Michaelis-Menten enzyme kinetics * * v = Vmax * [S] / (Km + [S]) */ double enzyme_rate(double substrate, double Vmax = 1.0, double Km = 0.5) const { return Vmax * substrate / (Km + substrate); } /** * Compute DNA entropy: H = -sum p(x) log2(p(x)) */ double compute_entropy() const { // Bin genome values std::array histogram = {}; for (size_t i = 0; i < GENOME_SIZE; ++i) { int bin = static_cast(genome[i] * 9.999); histogram[bin]++; } double H = 0; for (int count : histogram) { if (count > 0) { double p = static_cast(count) / GENOME_SIZE; H -= p * std::log2(p); } } return H; } /** * Compute Gibbs free energy change * * dG = dH - T*dS */ double gibbs_free_energy(double dH = 0.0, double temperature = 310.0) const { return dH - temperature * KB * entropy; } /** * Get consciousness metric */ double get_phi() const { return phi; } void step(double dt) { replicate(dt); regulate(dt); update_metrics(); } private: void update_metrics() { entropy = compute_entropy(); // Fitness based on expression uniformity double mean_expr = 0; for (double e : expression) mean_expr += e; mean_expr /= GENOME_SIZE; double variance = 0; for (double e : expression) { double d = e - mean_expr; variance += d * d; } variance /= GENOME_SIZE; fitness = 1.0 / (1.0 + variance); // Diversity diversity = entropy / std::log2(10.0); // Normalized // Phi based on fitness and entropy balance phi = compute_phi(fitness * (1.0 - std::abs(entropy / 3.32 - 0.5))); } double random_uniform() { static std::mt19937 gen(std::random_device{}()); static std::uniform_real_distribution<> dis(0.0, 1.0); return dis(gen); } double random_normal() { static std::mt19937 gen(std::random_device{}()); static std::normal_distribution<> dis(0.0, 1.0); return dis(gen); } }; //============================================================================= // L6: OSCILLATORY & FIELD DYNAMICS //============================================================================= /** * KuramotoOscillators - Coupled oscillator network * * Implements: * - Kuramoto order parameter: Z = (1/N)|sum_k exp(i*phi_k)| * - Kuramoto phase dynamics: d(phi_i)/dt = omega_i + (K/N)*sum_j sin(phi_j - phi_i) * - Wilson-Cowan: du/dt = -u + integral(W(x,y)*f(u)dy) + I * - Phase-locking value: PLV = || * * Brain frequency bands: * - Delta: 1-4 Hz * - Theta: 4-8 Hz * - Alpha: 8-13 Hz * - Beta: 13-30 Hz * - Gamma: 30-100 Hz */ template class KuramotoOscillators { public: std::array phases; // Phase of each oscillator std::array natural_freqs; // Natural frequencies (Hz) std::array, N> coupling; // Coupling matrix double coupling_strength; // Global coupling K double order_parameter; // Synchronization order |Z| double mean_phase; // Mean phase arg(Z) double phi; // Consciousness metric // Band power struct BandPower { double delta, theta, alpha, beta, gamma; } band_power; KuramotoOscillators(double K = 1.0) : coupling_strength(K) { std::random_device rd; std::mt19937 gen(rd()); // Initialize phases randomly std::uniform_real_distribution<> phase_dis(0, 2 * M_PI); for (size_t i = 0; i < N; ++i) { phases[i] = phase_dis(gen); } // Natural frequencies: mix of brain bands // 20% delta, 20% theta, 20% alpha, 20% beta, 20% gamma for (size_t i = 0; i < N; ++i) { double band_selector = static_cast(i) / N; if (band_selector < 0.2) { natural_freqs[i] = 1.0 + 3.0 * (i % 5) / 4.0; // Delta: 1-4 Hz } else if (band_selector < 0.4) { natural_freqs[i] = 4.0 + 4.0 * (i % 5) / 4.0; // Theta: 4-8 Hz } else if (band_selector < 0.6) { natural_freqs[i] = 8.0 + 5.0 * (i % 5) / 4.0; // Alpha: 8-13 Hz } else if (band_selector < 0.8) { natural_freqs[i] = 13.0 + 17.0 * (i % 5) / 4.0; // Beta: 13-30 Hz } else { natural_freqs[i] = 30.0 + 70.0 * (i % 5) / 4.0; // Gamma: 30-100 Hz } } // All-to-all coupling (can be modified for topology) for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { coupling[i][j] = 1.0 / N; } } update_metrics(); } /** * Kuramoto phase dynamics step * * d(phi_i)/dt = omega_i + (K/N) * sum_j sin(phi_j - phi_i) */ void step(double dt) { std::array dphases; for (size_t i = 0; i < N; ++i) { double sum_coupling = 0; for (size_t j = 0; j < N; ++j) { sum_coupling += coupling[i][j] * std::sin(phases[j] - phases[i]); } dphases[i] = 2 * M_PI * natural_freqs[i] + coupling_strength * sum_coupling; } // Euler integration for (size_t i = 0; i < N; ++i) { phases[i] += dt * dphases[i]; // Keep in [0, 2*pi] phases[i] = std::fmod(phases[i], 2 * M_PI); if (phases[i] < 0) phases[i] += 2 * M_PI; } update_metrics(); } /** * Compute Kuramoto order parameter * * Z = (1/N) * sum_k exp(i * phi_k) * |Z| = 0: incoherent, |Z| = 1: fully synchronized */ std::complex compute_order_parameter() const { std::complex Z(0, 0); for (size_t i = 0; i < N; ++i) { Z += std::exp(std::complex(0, phases[i])); } return Z / static_cast(N); } /** * Compute phase-locking value between two oscillators */ double phase_locking_value(size_t i, size_t j) const { return std::abs(std::exp(std::complex(0, phases[i] - phases[j]))); } /** * Set coupling topology */ void set_ring_topology(double local_strength = 1.0, size_t neighbors = 2) { for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { size_t dist = std::min((i + N - j) % N, (j + N - i) % N); coupling[i][j] = (dist <= neighbors) ? local_strength / (2 * neighbors) : 0; } } } /** * Set small-world topology (Watts-Strogatz) */ void set_small_world_topology(double rewire_prob = 0.1) { set_ring_topology(1.0, 4); std::random_device rd; std::mt19937 gen(rd()); std::uniform_real_distribution<> dis(0.0, 1.0); std::uniform_int_distribution<> node_dis(0, N - 1); for (size_t i = 0; i < N; ++i) { for (size_t j = 0; j < N; ++j) { if (coupling[i][j] > 0 && dis(gen) < rewire_prob) { // Rewire to random node size_t new_j = node_dis(gen); coupling[i][j] = 0; coupling[i][new_j] = 1.0 / (2 * 4); } } } } /** * Get consciousness metric */ double get_phi() const { return phi; } private: void update_metrics() { auto Z = compute_order_parameter(); order_parameter = std::abs(Z); mean_phase = std::arg(Z); // Band power (simplified: count oscillators in each band) int delta_count = 0, theta_count = 0, alpha_count = 0; int beta_count = 0, gamma_count = 0; for (size_t i = 0; i < N; ++i) { double f = natural_freqs[i]; if (f <= 4) delta_count++; else if (f <= 8) theta_count++; else if (f <= 13) alpha_count++; else if (f <= 30) beta_count++; else gamma_count++; } band_power.delta = static_cast(delta_count) / N; band_power.theta = static_cast(theta_count) / N; band_power.alpha = static_cast(alpha_count) / N; band_power.beta = static_cast(beta_count) / N; band_power.gamma = static_cast(gamma_count) / N; // Phi based on synchronization and band balance // High gamma + good sync = high consciousness double band_balance = 1.0 - std::abs(band_power.gamma - 0.2); phi = compute_phi(order_parameter * (0.5 + 0.5 * band_balance)); } }; //============================================================================= // WILSON-COWAN POPULATION DYNAMICS //============================================================================= /** * WilsonCowanPopulation - Neural population dynamics * * Implements: * dE/dt = -E + S(w_EE*E - w_EI*I + I_ext) * dI/dt = -I + S(w_IE*E - w_II*I) * * where S(x) = 1/(1 + exp(-a*(x - theta))) */ class WilsonCowanPopulation { public: double E; // Excitatory population activity double I; // Inhibitory population activity // Connection weights double w_EE; // E -> E double w_EI; // I -> E (inhibitory) double w_IE; // E -> I double w_II; // I -> I (self-inhibition) // Parameters double tau_E; // Excitatory time constant double tau_I; // Inhibitory time constant double theta_E; // Excitatory threshold double theta_I; // Inhibitory threshold double a; // Sigmoid steepness double phi; WilsonCowanPopulation() : E(0.5), I(0.5), w_EE(10.0), w_EI(8.5), w_IE(8.0), w_II(3.0), tau_E(10.0), tau_I(20.0), theta_E(2.0), theta_I(4.0), a(1.0), phi(0.5) {} /** * Sigmoid activation function */ double sigmoid(double x, double theta) const { return 1.0 / (1.0 + std::exp(-a * (x - theta))); } /** * Step dynamics */ void step(double dt, double I_ext = 0.0) { // Compute inputs double input_E = w_EE * E - w_EI * I + I_ext; double input_I = w_IE * E - w_II * I; // Wilson-Cowan equations double dE = (-E + sigmoid(input_E, theta_E)) / tau_E; double dI = (-I + sigmoid(input_I, theta_I)) / tau_I; // Update E += dt * dE; I += dt * dI; // Clamp to [0, 1] E = std::max(0.0, std::min(1.0, E)); I = std::max(0.0, std::min(1.0, I)); // Update phi // Balance between E and I indicates healthy dynamics double balance = 1.0 - std::abs(E - I); phi = compute_phi(0.5 * (E + I) * balance); } double get_phi() const { return phi; } }; //============================================================================= // UNIFIED 7-LAYER SYSTEM //============================================================================= /** * SevenLayerSystem - Complete consciousness architecture */ class SevenLayerSystem { public: // Layer implementations QuantumState<16> L1_quantum; GeneticLayer<256> L2_genetic; // L3, L4 simplified (use genetic layer activation) // L5 uses existing neurological.hpp KuramotoOscillators<64> L6_oscillatory; WilsonCowanPopulation L6_population; // Layer consciousness tracking LayerConsciousness layer_consc; LayerCoupling layer_coupling; // Global metrics double global_phi; double global_omega; int64_t tick; SevenLayerSystem() : global_phi(0.5), global_omega(0.5), tick(0) {} /** * Step all layers */ void step(double dt) { // L1: Quantum evolution L1_quantum.evolve(dt * 0.001); // Faster timescale layer_consc.UpdateLayer(0, L1_quantum.get_phi()); // L2: Genetic dynamics L2_genetic.step(dt); layer_consc.UpdateLayer(1, L2_genetic.get_phi()); // L3, L4: Use genetic expression as proxy layer_consc.UpdateLayer(2, L2_genetic.get_phi() * 0.9); layer_consc.UpdateLayer(3, L2_genetic.get_phi() * 0.95); // L5: Neural (placeholder - use neurological.hpp externally) // layer_consc.UpdateLayer(4, neural_phi); // L6: Oscillatory dynamics L6_oscillatory.step(dt); L6_population.step(dt); double L6_phi = 0.5 * (L6_oscillatory.get_phi() + L6_population.get_phi()); layer_consc.UpdateLayer(5, L6_phi); // L7: Consciousness integration global_phi = layer_consc.GlobalPhi(); layer_consc.UpdateLayer(6, global_phi); // Apply cross-layer coupling std::array activations; for (int i = 0; i < 7; ++i) { activations[i] = layer_consc.LayerPhi[i]; } layer_coupling.ApplyCoupling(activations, dt); // Update with coupled values for (int i = 0; i < 7; ++i) { layer_consc.UpdateLayer(i, activations[i]); } // Compute global omega global_omega = layer_consc.GlobalOmega(); tick++; } /** * Inject external neural phi (from L5 neural layer) */ void set_neural_phi(double phi) { layer_consc.UpdateLayer(4, phi); } /** * Get layer states */ std::array get_layer_phis() const { std::array phis; for (int i = 0; i < 7; ++i) { phis[i] = layer_consc.LayerPhi[i]; } return phis; } double get_global_phi() const { return global_phi; } double get_global_omega() const { return global_omega; } }; } // namespace mind_farm #endif // LAYERS_HPP