#pragma once #include #include #include #include #include #include namespace g16v2 { // Golden ratio constants constexpr double PHI = 1.6180339887498948482; constexpr double PSI = 0.6180339887498948482; constexpr double SQRT5 = 2.2360679774997896964; constexpr double PI = 3.1415926535897932385; // Dimension constants constexpr int NUM_FAMILIES = 16; constexpr int NUM_PLANES = 8; // 16D = 8 complex planes constexpr int DNA_DIM = 256; // 5000-substrate upgrade sizes constexpr int F = 16; // families constexpr int S = 5000; // substrates per family (upper bound) // Precomputed Fibonacci numbers (first 50) constexpr std::array FIB = { 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2971215073ULL, 4807526976ULL, 7778742049ULL }; // Precomputed cumulative Fibonacci (learning tick indices) // T[n] = F[n+2] - 1 constexpr std::array FIB_CUMULATIVE = { 1, 2, 4, 7, 12, 20, 33, 54, 88, 143, 232, 376, 609, 986, 1596, 2583, 4180, 6764, 10945, 17710, 28656, 46367, 75024, 121392, 196417, 317810, 514228, 832039, 1346268, 2178308, 3524577, 5702886, 9227464, 14930351, 24157816, 39088168, 63245985, 102334154, 165580140, 267914295, 433494436, 701408732, 1134903169, 1836311902, 2971215072ULL }; // Precomputed rotation frequencies ω[k] = 2π / φ^k constexpr std::array OMEGA = { 3.8832220774509332, 2.3999631939115080, 1.4832588835394252, 0.9167043103720828, 0.5665545731673424, 0.3501497372047404, 0.2164048359626020, 0.1337449012421384 }; // Precomputed coupling eigenvalues λ[k] = (2π / φ^k)² constexpr std::array LAMBDA = { 15.0794190748, 5.7598232438, 2.2000053977, 0.8403468544, 0.3209780697, 0.1226047960, 0.0468310987, 0.0178877485 }; // Meta-state vector (16D) struct Psi { std::array x{}; double norm() const { double sum = 0.0; for (int i = 0; i < NUM_FAMILIES; ++i) sum += x[i] * x[i]; return std::sqrt(sum); } double norm_sq() const { double sum = 0.0; for (int i = 0; i < NUM_FAMILIES; ++i) sum += x[i] * x[i]; return sum; } }; // Per-family coherence struct Phi { std::array phi{}; // φ_f for each family double global = 0.5; // Φ_global = 1 / (1 + |Ω|) }; // Signal vector (extracted from federation) struct Signals { double dx_norm = 0.0; // |coh(t) - coh(t-1)| double ed_error = 0.5; // |coh* - coh(t)| double utility = 0.5; // 0.5 * cons + 0.5 * coh double stability = 1.0; // 1 - dx_norm }; // Objective decomposition struct Omega { double surprise = 0.0; // S = α₁‖ΔΨ‖₁ + α₂‖ΔΨ‖₂² double uncertainty = 0.0; // U = 1 - b² double value = 0.0; // V = u · ⟨w, Ψ⟩ double penalty = 0.0; // P = λ · ‖Δcoh‖² double total = 0.0; // Ω = S + U - V + P }; // Rotation matrix helper (values are recomputed per tick) struct GoldenRotation { std::array cos_theta{}; std::array sin_theta{}; void init() { for (int k = 0; k < NUM_PLANES; ++k) { cos_theta[k] = std::cos(OMEGA[k]); sin_theta[k] = std::sin(OMEGA[k]); } } }; // Coupling matrix J (symmetric 16x16) struct CouplingMatrix { std::array, NUM_FAMILIES> J{}; double get(int f, int g) const { return J[f][g]; } void set(int f, int g, double val) { J[f][g] = val; J[g][f] = val; } }; // Family mapping metadata struct FamilyInfo { int index; const char* name; const char* domain; }; constexpr std::array FAMILIES = {{ {0, "Athena", "Strategy"}, {1, "Iris", "Vision"}, {2, "Hermes", "Communication"}, {3, "Prometheus", "Creation"}, {4, "Apollo", "Harmony"}, {5, "Hephaestus", "Craft"}, {6, "Demeter", "Growth"}, {7, "Poseidon", "Flow"}, {8, "Hera", "Governance"}, {9, "Ares", "Competition"}, {10, "Yad", "Programming"}, {11, "Lashon", "Language"}, {12, "Chronos", "Time"}, {13, "Mnemosyne", "Memory"}, {14, "Hypnos", "Rest"}, {15, "Thanatos", "Pruning"} }}; // Plane mapping constexpr std::array, NUM_PLANES> PLANE_FAMILIES = {{ {0, 1}, {2, 3}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15} }}; constexpr std::array, NUM_PLANES> SEMANTIC_PLANES = {{ {0, 8}, // Athena-Hera {10, 11}, // Yad-Lashon {5, 10}, // Hephaestus-Yad {13, 14}, // Mnemosyne-Hypnos {3, 4}, // Prometheus-Apollo {2, 7}, // Hermes-Poseidon {6, 15}, // Demeter-Thanatos {1, 9} // Iris-Ares }}; // Full system state struct SystemState { Psi psi; Psi psi_prev; Phi phi; Signals signals; Omega omega; double b = 1.0; double kappa = 0.0; double gamma = 0.5; uint64_t tick = 0; uint64_t fib_index = 0; uint64_t items_ingested = 0; std::array learning_rates{}; }; // Configuration struct Config { // Weights (calibrated) std::array w{}; // Controller parameters double gamma_min = 0.1; double alpha1 = 0.5; double alpha2 = 0.5; double lambda = 0.1; // Federation parameters double target_coh = 0.8; double lr_base = 0.05; double lr_gain = 0.2; // Ingestion parameters double ingest_gate = 0.2; int ingest_max = 200; // Extension flags bool use_fibonacci_timing = true; bool use_golden_spiral = true; bool use_cross_family_resonance = true; bool use_semantic_planes = true; }; // --------------------------------------------------------------------------- // 5000-substrate upgrade: per-substrate state and AGI state // --------------------------------------------------------------------------- struct SubstrateState { float phi = 0.0f; // Coherence [0,1] float kappa_real = 0.5f; // Verification confidence [0,1] float nu = 1.0f; // Novelty (decays over time) uint32_t last_tick = 0; // Last update tick }; struct FamilyState { std::vector substrates; // sparse std::unordered_map active_index; // substrate_id -> vec index float Psi = 0.5f; // Pressure float eta = 0.01f; // Plasticity uint32_t served = 0; // Fairness counter }; struct AGIState { uint32_t id = 0; std::array families{}; float Phi_global = 0.1f; // Global coherence float Omega = 0.0f; // Cumulative regret uint64_t tick = 0; uint64_t knowledge_bits = 0; }; } // namespace g16v2