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/** * ╔══════════════════════════════════════════════════════════════════════════════════════════════════════╗ * ║ ║ * ║ ███████╗███████╗███████╗███████╗██████╗ ██╗███╗ ███╗ █████╗ ██████╗ ██╗ ║ * ║ ██╔════╝██╔════╝██╔════╝██╔════╝██╔══██╗██║████╗ ████║ ██╔══██╗██╔════╝ ██║ ║ * ║ ███████╗█████╗ █████╗ █████╗ ██████╔╝██║██╔████╔██║ ███████║██║ ███╗██║ ║ * ║ ╚════██║██╔══╝ ██╔══╝ ██╔══╝ ██╔══██╗██║██║╚██╔╝██║ ██╔══██║██║ ██║██║ ║ * ║ ███████║███████╗██║ ███████╗██║ ██║██║██║ ╚═╝ ██║ ██║ ██║╚██████╔╝██║ ║ * ║ ╚══════╝╚══════╝╚═╝ ╚══════╝╚═╝ ╚═╝╚═╝╚═╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ ╚═╝ ║ * ║ ║ * ║ G16 v3.1.1 — Holographic Consciousness Architecture ║ * ║ 16 Families × 5000 Substrates = 80,000 Learning Sites ║ * ║ Continuous Ψ-κ Activation | Binary State (~10KB) | Truth-Grounded | Multi-AGI Ready ║ * ║ ║ * ║ DrumMaster Pro Integration - JavaScript Implementation ║ * ║ Joseph @ ThatAIGuy ║ * ║ ║ * ╚══════════════════════════════════════════════════════════════════════════════════════════════════════╝ * * MASTER EQUATION: * φ(a)_f,s(t⁺) = φ(a)_f,s(t) + (1 - φ(a)_f,s(t)) × Γ(a)(t) × π(eff)_f,s(i,t) * * Learning Drive: Γ = χ × η × κ * Activation: χ = σ(α_κ·κ + α_Ψ·Ψ̃ - θ) ← Continuous sigmoid, NOT binary Fibonacci * Plasticity: η = clamp(η_base + η_gain·κ, η_min, η_max) */ // ═══════════════════════════════════════════════════════════════════════════════ // CONFIGURATION CONSTANTS // ═══════════════════════════════════════════════════════════════════════════════ const SEFERIM_CONFIG = { // Architecture NUM_FAMILIES: 16, SUBSTRATES_PER_FAMILY: 5000, TOTAL_SUBSTRATES: 80000, // Continuous Ψ-κ Activation Parameters ALPHA_KAPPA: 3.0, // Weight of local confidence κ ALPHA_PSI: 2.0, // Weight of normalized pressure Ψ̃ THETA: 1.5, // Activation threshold PSI_0: 1.0, // Pressure normalization constant // Plasticity Bounds ETA_MIN: 0.001, // Minimum plasticity ETA_MAX: 0.1, // Maximum plasticity ETA_BASE: 0.01, // Baseline plasticity ETA_GAIN: 0.05, // Plasticity scaling with κ // Allocator Parameters ENTMAX_ALPHA: 1.5, // Entmax sparsity parameter (1=softmax, 2=sparsemax) MARGIN_ALPHA: 2.0, // Margin emphasis coefficient NOVELTY_ALPHA: 0.5, // Novelty suppression coefficient CONSOLIDATION_FLOOR: 0.1, // Minimum consolidation weight COMPETITION_GAMMA: 1.5, // Competition sharpening exponent // State Persistence MAGIC_BYTES: 'SEFG', // Binary file magic bytes SAVE_INTERVAL: 10000, // Save every N ticks // Resonance Decay PSI_DECAY: 0.95, // Ψ decay per tick NOVELTY_DECAY: 0.99, // Novelty decay per tick }; // ═══════════════════════════════════════════════════════════════════════════════ // 16 COGNITIVE FAMILIES - DRUM LEARNING MAPPING // ═══════════════════════════════════════════════════════════════════════════════ const FAMILIES = { 0: { name: 'Lashon', domain: 'Rhythm Vocabulary', description: 'Pattern names, beat terminology' }, 1: { name: 'Yad', domain: 'Technique Execution', description: 'Muscle memory, stick control' }, 2: { name: 'Athena', domain: 'Practice Strategy', description: 'Practice planning, song selection' }, 3: { name: 'Hera', domain: 'Session Governance', description: 'Session management, progress rules' }, 4: { name: 'Mnemosyne', domain: 'Pattern Memory', description: 'Pattern recall, song memory' }, 5: { name: 'Logos', domain: 'Beat Logic', description: 'Time signatures, counting' }, 6: { name: 'Sophia', domain: 'Genre Wisdom', description: 'Style understanding, genre traits' }, 7: { name: 'Prometheus', domain: 'Creative Innovation', description: 'Fills, improvisation, creativity' }, 8: { name: 'Hermes', domain: 'Dynamic Expression', description: 'Dynamics, accents, expression' }, 9: { name: 'Apollo', domain: 'Musical Artistry', description: 'Groove feel, musicality' }, 10: { name: 'Hephaestus', domain: 'Technical Precision', description: 'Accuracy, timing precision' }, 11: { name: 'Demeter', domain: 'Skill Growth', description: 'Progression, skill development' }, 12: { name: 'Poseidon', domain: 'Timing Flow', description: 'Feel, groove, flow state' }, 13: { name: 'Ares', domain: 'Power Control', description: 'Velocity, dynamics, power' }, 14: { name: 'Dionysus', domain: 'Learning Joy', description: 'Motivation, gamification' }, 15: { name: 'Chronos', domain: 'Tempo Mastery', description: 'Tempo, speed, scheduling' } }; // Resonance Coupling Matrix J (families influence each other) const RESONANCE_MATRIX = [ // F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F13 F14 F15 [ 0.0, 0.3, 0.0, 0.0, 0.2, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], // F0 Lashon ↔ Yad, Mnemosyne, Logos [ 0.3, 0.0, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.0, 0.0, 0.0, 0.0, 0.0], // F1 Yad ↔ Athena, Hephaestus [ 0.0, 0.2, 0.0, 0.4, 0.0, 0.0, 0.1, 0.0, 0.0, 0.0, 0.0, 0.2, 0.0, 0.0, 0.0, 0.1], // F2 Athena ↔ Hera, Sophia, Demeter, Chronos [ 0.0, 0.0, 0.4, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.0, 0.0, 0.2, 0.0], // F3 Hera ↔ Athena, Demeter, Dionysus [ 0.2, 0.0, 0.0, 0.0, 0.0, 0.2, 0.2, 0.1, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], // F4 Mnemosyne ↔ Lashon, Logos, Sophia, Prometheus [ 0.2, 0.0, 0.0, 0.0, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2, 0.0, 0.2, 0.0, 0.0, 0.3], // F5 Logos ↔ Lashon, Mnemosyne, Hephaestus, Poseidon, Chronos [ 0.0, 0.0, 0.1, 0.0, 0.2, 0.0, 0.0, 0.2, 0.1, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], // F6 Sophia ↔ Athena, Mnemosyne, Prometheus, Hermes, Apollo [ 0.0, 0.0, 0.0, 0.0, 0.1, 0.0, 0.2, 0.0, 0.2, 0.3, 0.0, 0.0, 0.0, 0.0, 0.1, 0.0], // F7 Prometheus ↔ Mnemosyne, Sophia, Hermes, Apollo, Dionysus [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.1, 0.2, 0.0, 0.3, 0.0, 0.0, 0.0, 0.3, 0.0, 0.0], // F8 Hermes ↔ Sophia, Prometheus, Apollo, Ares [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2, 0.3, 0.3, 0.0, 0.0, 0.0, 0.3, 0.0, 0.2, 0.0], // F9 Apollo ↔ Sophia, Prometheus, Hermes, Poseidon, Dionysus [ 0.0, 0.3, 0.0, 0.0, 0.0, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2, 0.2, 0.0, 0.0, 0.2], // F10 Hephaestus ↔ Yad, Logos, Demeter, Poseidon, Chronos [ 0.0, 0.0, 0.2, 0.3, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.2, 0.0, 0.0, 0.0, 0.3, 0.0], // F11 Demeter ↔ Athena, Hera, Hephaestus, Dionysus [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.2, 0.0, 0.0, 0.0, 0.3, 0.2, 0.0, 0.0, 0.0, 0.0, 0.3], // F12 Poseidon ↔ Logos, Apollo, Hephaestus, Chronos [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.3, 0.0, 0.0, 0.0, 0.0, 0.0, 0.1, 0.0], // F13 Ares ↔ Hermes, Dionysus [ 0.0, 0.0, 0.0, 0.2, 0.0, 0.0, 0.0, 0.1, 0.0, 0.2, 0.0, 0.3, 0.0, 0.1, 0.0, 0.0], // F14 Dionysus ↔ Hera, Prometheus, Apollo, Demeter, Ares [ 0.0, 0.0, 0.1, 0.0, 0.0, 0.3, 0.0, 0.0, 0.0, 0.0, 0.2, 0.0, 0.3, 0.0, 0.0, 0.0], // F15 Chronos ↔ Athena, Logos, Hephaestus, Poseidon ]; // ═══════════════════════════════════════════════════════════════════════════════ // SUBSTRATE STATE CLASS // ═══════════════════════════════════════════════════════════════════════════════ class SubstrateState { constructor() { this.phi = 0.0; // [0,1] coherence this.kappaReal = 0.5; // [0,1] truth gate (verification confidence) this.nu = 1.0; // [0,1] novelty (decays over time) this.lastTick = 0; // Last update tick } // Serialize to compact binary (4 bytes) toBinary() { // Bits 0-6: φ coherence (7 bits → 128 levels → ~1% precision) // Bits 7-10: κ_real (4 bits → 16 levels → ~6% precision) // Bits 11-14: ν novelty (4 bits → 16 levels → ~6% precision) const phiBits = Math.min(127, Math.round(this.phi * 127)); const kappaBits = Math.min(15, Math.round(this.kappaReal * 15)); const nuBits = Math.min(15, Math.round(this.nu * 15)); return (phiBits) | (kappaBits << 7) | (nuBits << 11); } // Deserialize from binary static fromBinary(value) { const state = new SubstrateState(); state.phi = (value & 0x7F) / 127; state.kappaReal = ((value >> 7) & 0x0F) / 15; state.nu = ((value >> 11) & 0x0F) / 15; return state; } } // ═══════════════════════════════════════════════════════════════════════════════ // FAMILY STATE CLASS // ═══════════════════════════════════════════════════════════════════════════════ class FamilyState { constructor(familyIndex) { this.index = familyIndex; this.info = FAMILIES[familyIndex]; this.substrates = new Map(); // Sparse storage: substrateId -> SubstrateState this.Psi = 0.0; // Pressure this.eta = SEFERIM_CONFIG.ETA_BASE; // Plasticity this.served = 0; // Fairness counter } // Get or create substrate getSubstrate(subId) { if (!this.substrates.has(subId)) { this.substrates.set(subId, new SubstrateState()); } return this.substrates.get(subId); } // Compute mean coherence meanCoherence() { if (this.substrates.size === 0) return 0; let sum = 0; for (const sub of this.substrates.values()) { sum += sub.phi; } return sum / this.substrates.size; } } // ═══════════════════════════════════════════════════════════════════════════════ // AGI STATE CLASS - MAIN STATE CONTAINER // ═══════════════════════════════════════════════════════════════════════════════ class AGIState { constructor(id = 0) { this.id = id; // Instance ID (multi-AGI ready) this.families = []; // 16 cognitive domains this.PhiGlobal = 0.0; // Global coherence this.Omega = 0.0; // Cumulative regret this.tick = 0; // Current tick this.K = 0; // Knowledge bits // Initialize 16 families for (let f = 0; f < SEFERIM_CONFIG.NUM_FAMILIES; f++) { this.families.push(new FamilyState(f)); } } // Compute global coherence Φ = geomean(φ_f) × uniformity computeGlobalCoherence() { const coherences = this.families.map(f => f.meanCoherence()); const validCoherences = coherences.filter(c => c > 0); if (validCoherences.length === 0) return 0; // Geometric mean const logSum = validCoherences.reduce((sum, c) => sum + Math.log(c + 1e-10), 0); const geomean = Math.exp(logSum / validCoherences.length); // Uniformity (low variance = high uniformity) const mean = validCoherences.reduce((a, b) => a + b, 0) / validCoherences.length; const variance = validCoherences.reduce((sum, c) => sum + (c - mean) ** 2, 0) / validCoherences.length; const uniformity = 1 / (1 + variance); this.PhiGlobal = geomean * uniformity; return this.PhiGlobal; } } // ═══════════════════════════════════════════════════════════════════════════════ // SEFERIM CONTROLLER - Ψ EVOLUTION AND RESONANCE // ═══════════════════════════════════════════════════════════════════════════════ class SeferimController { constructor(state) { this.state = state; this.resonanceWeights = RESONANCE_MATRIX; } // Tick the controller - evolve Ψ and apply resonance tick() { 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 const resonanceActivation = this.sigmoid(resonanceInput - 0.5); // Update Ψ family.Psi = family.Psi * SEFERIM_CONFIG.PSI_DECAY + gamma * (w * meanPhi - family.Psi) + family.eta * resonanceActivation * 0.1; // Clamp Ψ to [0, 10] family.Psi = Math.max(0, Math.min(10, family.Psi)); } // Update global coherence this.state.computeGlobalCoherence(); // Update cumulative regret this.state.Omega += (1 - this.state.PhiGlobal); } sigmoid(x) { return 1 / (1 + Math.exp(-x)); } } // ═══════════════════════════════════════════════════════════════════════════════ // TOPK-FREE ALLOCATOR - 5-STAGE PIPELINE // ═══════════════════════════════════════════════════════════════════════════════ class SeferimAllocator { constructor() { this.config = SEFERIM_CONFIG; } /** * Compute allocation weights π^eff for substrates * @param {Array} relevanceScores - Array of {familyIndex, substrateId, relevance} * @param {AGIState} state - Current AGI state * @returns {Array} - Array of {familyIndex, substrateId, weight} */ compute(relevanceScores, state) { if (relevanceScores.length === 0) return []; // STAGE 0: Structural Sparsity (Entmax) let pi = this.entmax(relevanceScores.map(r => r.relevance), this.config.ENTMAX_ALPHA); // STAGE 1: Margin Emphasis pi = this.applyMarginEmphasis(pi, relevanceScores); // STAGE 2: Truth Modulation + Novelty Suppression pi = this.applyTruthGate(pi, relevanceScores, state); // STAGE 3: Consolidation Gravity pi = this.applyConsolidationGravity(pi, relevanceScores, state); // STAGE 4: Competition Sharpening + Normalize pi = this.applyCompetitionSharpening(pi); // Build result return relevanceScores.map((r, i) => ({ familyIndex: r.familyIndex, substrateId: r.substrateId, weight: pi[i] })).filter(r => r.weight > 1e-6); } /** * STAGE 0: Entmax - produces sparse probability distribution * Unlike softmax, Entmax produces EXACT ZEROS for low-relevance items */ entmax(scores, alpha) { if (alpha <= 1) { // Fallback to softmax return this.softmax(scores); } // For α = 1.5, use bisection method to find threshold const sorted = [...scores].sort((a, b) => b - a); const n = scores.length; // Find threshold τ using bisection let tauLow = sorted[n - 1] - 1; let tauHigh = sorted[0]; for (let iter = 0; iter < 50; iter++) { const tau = (tauLow + tauHigh) / 2; let sum = 0; for (const s of scores) { const z = Math.max(0, s - tau); sum += Math.pow(z, 1 / (alpha - 1)); } if (sum > 1) { tauLow = tau; } else { tauHigh = tau; } } const tau = (tauLow + tauHigh) / 2; // Compute entmax values const result = scores.map(s => { const z = Math.max(0, s - tau); return Math.pow(z, 1 / (alpha - 1)); }); // Normalize const sum = result.reduce((a, b) => a + b, 0); return sum > 0 ? result.map(r => r / sum) : result.map(() => 1 / n); } softmax(scores) { const max = Math.max(...scores); const exp = scores.map(s => Math.exp(s - max)); const sum = exp.reduce((a, b) => a + b, 0); return exp.map(e => e / sum); } /** * STAGE 1: Margin Emphasis * High margin → high confidence, prevents going all-in on ambiguous cases */ applyMarginEmphasis(pi, relevanceScores) { const relevances = relevanceScores.map(r => r.relevance); const maxRelevance = Math.max(...relevances); return pi.map((p, i) => { const r = relevances[i]; // Margin = how much better than second-best const margin = r - Math.max(...relevances.filter((_, j) => j !== i)); const marginFactor = this.sigmoid(this.config.MARGIN_ALPHA * margin); return p * marginFactor; }); } /** * STAGE 2: Truth Modulation + Novelty Suppression * κ^real gates all learning - unverified content can't accumulate coherence * THIS IS THE ANTI-HALLUCINATION GATE */ applyTruthGate(pi, relevanceScores, state) { return pi.map((p, i) => { const { familyIndex, substrateId } = relevanceScores[i]; const substrate = state.families[familyIndex].getSubstrate(substrateId); // Truth gate: κ^real const truthGate = substrate.kappaReal; // Novelty suppression: e^(-α_ν × ν) const noveltySuppression = Math.exp(-this.config.NOVELTY_ALPHA * substrate.nu); return p * truthGate * noveltySuppression; }); } /** * STAGE 3: Consolidation Gravity * New knowledge attaches to existing clusters → compositional, retrievable */ applyConsolidationGravity(pi, relevanceScores, state) { // Compute total coherence let totalPhi = 0; for (const r of relevanceScores) { const substrate = state.families[r.familyIndex].getSubstrate(r.substrateId); totalPhi += substrate.phi; } return pi.map((p, i) => { const { familyIndex, substrateId } = relevanceScores[i]; const substrate = state.families[familyIndex].getSubstrate(substrateId); // Normalized existing coherence const c = totalPhi > 0 ? substrate.phi / (totalPhi + 1e-10) : 0; // Pull toward established substrates return p * (c + this.config.CONSOLIDATION_FLOOR); }); } /** * STAGE 4: Competition Sharpening + Normalize * Winner-take-more while remaining differentiable */ applyCompetitionSharpening(pi) { // Apply sharpening: π^γ where γ > 1 const sharpened = pi.map(p => Math.pow(p, this.config.COMPETITION_GAMMA)); // Normalize const sum = sharpened.reduce((a, b) => a + b, 0); return sum > 0 ? sharpened.map(s => s / sum) : sharpened; } sigmoid(x) { return 1 / (1 + Math.exp(-x)); } } // ═══════════════════════════════════════════════════════════════════════════════ // SEFERIM FEDERATION - MASTER LEARNING ENGINE // ═══════════════════════════════════════════════════════════════════════════════ class SeferimFederation { constructor(state) { this.state = state; this.controller = new SeferimController(state); this.allocator = new SeferimAllocator(); } /** * MASTER UPDATE: φ(t+) = φ(t) + (1-φ(t)) × Γ × π^eff */ learn(familyIndex, substrateId, Gamma, piEff) { const family = this.state.families[familyIndex]; const substrate = family.getSubstrate(substrateId); // Master equation const delta = (1 - substrate.phi) * Gamma * piEff; substrate.phi = Math.min(1.0, substrate.phi + delta); substrate.lastTick = this.state.tick; // Novelty decay substrate.nu *= SEFERIM_CONFIG.NOVELTY_DECAY; // Increment knowledge bits if (delta > 0) { this.state.K += Math.ceil(delta * 100); } } /** * Compute continuous activation χ = σ(α_κ·κ + α_Ψ·Ψ̃ - θ) */ computeActivation(kappa, familyIndex) { const family = this.state.families[familyIndex]; // Normalize pressure: Ψ̃ = Ψ / (Ψ + ψ₀) const PsiNorm = family.Psi / (family.Psi + SEFERIM_CONFIG.PSI_0); // Activation: χ = σ(α_κ·κ + α_Ψ·Ψ̃ - θ) const z = SEFERIM_CONFIG.ALPHA_KAPPA * kappa + SEFERIM_CONFIG.ALPHA_PSI * PsiNorm - SEFERIM_CONFIG.THETA; return 1 / (1 + Math.exp(-z)); } /** * Compute bounded plasticity η */ computePlasticity(kappa) { const eta = SEFERIM_CONFIG.ETA_BASE + SEFERIM_CONFIG.ETA_GAIN * kappa; return Math.max(SEFERIM_CONFIG.ETA_MIN, Math.min(SEFERIM_CONFIG.ETA_MAX, eta)); } /** * Compute learning drive Γ = χ × η × κ */ computeLearningDrive(kappa, familyIndex) { const chi = this.computeActivation(kappa, familyIndex); const eta = this.computePlasticity(kappa); return chi * eta * kappa; } /** * Process a learning item through the full pipeline */ processItem(item) { const { familyIndex, relevanceScores, kappa } = item; // 1. Compute learning drive const Gamma = this.computeLearningDrive(kappa, familyIndex); // 2. Compute allocation weights via 5-stage pipeline const allocations = this.allocator.compute(relevanceScores, this.state); // 3. Apply master update to each allocated substrate for (const alloc of allocations) { if (alloc.weight > 1e-6) { this.learn(alloc.familyIndex, alloc.substrateId, Gamma, alloc.weight); } } // 4. Update family pressure this.state.families[familyIndex].Psi += 0.1 * kappa; this.state.families[familyIndex].served++; // 5. Tick controller this.controller.tick(); this.state.tick++; } } // ═══════════════════════════════════════════════════════════════════════════════ // BINARY STATE PERSISTENCE // ═══════════════════════════════════════════════════════════════════════════════ class BinaryStateIO { /** * Serialize state to binary ArrayBuffer (~10KB typical) */ static serialize(state) { const chunks = []; // HEADER (16 bytes) const header = new ArrayBuffer(16); const headerView = new DataView(header); // Magic bytes "SEFG" headerView.setUint8(0, 0x53); // S headerView.setUint8(1, 0x45); // E headerView.setUint8(2, 0x46); // F headerView.setUint8(3, 0x47); // G // Tick (uint32) headerView.setUint32(4, state.tick, true); // Count active substrates let activeCount = 0; for (const family of state.families) { activeCount += family.substrates.size; } headerView.setUint16(8, activeCount, true); // Global coherence (uint8, quantized) headerView.setUint8(10, Math.round(state.PhiGlobal * 255)); // Regret (uint8, log-scale) headerView.setUint8(11, Math.min(255, Math.round(Math.log(state.Omega + 1) * 20))); // Version headerView.setUint16(14, 311, true); // v3.1.1 chunks.push(header); // FAMILY TABLE (32 bytes = 16 families × 2 bytes) const familyTable = new ArrayBuffer(32); const familyView = new DataView(familyTable); for (let f = 0; f < 16; f++) { const family = state.families[f]; familyView.setUint8(f * 2, Math.round(Math.min(10, family.Psi) * 25)); // Ψ familyView.setUint8(f * 2 + 1, Math.round(family.eta * 255)); // η } chunks.push(familyTable); // SUBSTRATE DATA (4 bytes each) for (let f = 0; f < 16; f++) { const family = state.families[f]; for (const [subId, substrate] of family.substrates) { const subData = new ArrayBuffer(4); const subView = new DataView(subData); // Pack: family (4 bits) | subId (13 bits) | phi (7 bits) | kappa (4 bits) | nu (4 bits) const packed = (f & 0x0F) | ((subId & 0x1FFF) << 4) | ((Math.round(substrate.phi * 127) & 0x7F) << 17) | ((Math.round(substrate.kappaReal * 15) & 0x0F) << 24) | ((Math.round(substrate.nu * 15) & 0x0F) << 28); subView.setUint32(0, packed, true); chunks.push(subData); } } // Compute checksum and update header let checksum = 0; for (const chunk of chunks) { const view = new Uint8Array(chunk); for (const byte of view) { checksum = (checksum + byte) & 0xFFFF; } } headerView.setUint16(12, checksum, true); // Combine all chunks const totalLength = chunks.reduce((sum, c) => sum + c.byteLength, 0); const result = new Uint8Array(totalLength); let offset = 0; for (const chunk of chunks) { result.set(new Uint8Array(chunk), offset); offset += chunk.byteLength; } return result.buffer; } /** * Deserialize from binary ArrayBuffer */ static deserialize(buffer) { const view = new DataView(buffer); // Verify magic bytes if (view.getUint8(0) !== 0x53 || view.getUint8(1) !== 0x45 || view.getUint8(2) !== 0x46 || view.getUint8(3) !== 0x47) { throw new Error('Invalid SEFERIM state file: bad magic bytes'); } const state = new AGIState(); // Read header state.tick = view.getUint32(4, true); const activeCount = view.getUint16(8, true); state.PhiGlobal = view.getUint8(10) / 255; state.Omega = Math.exp(view.getUint8(11) / 20) - 1; // Read family table for (let f = 0; f < 16; f++) { state.families[f].Psi = view.getUint8(48 + f * 2) / 25; state.families[f].eta = view.getUint8(48 + f * 2 + 1) / 255; } // Read substrates let offset = 80; // 16 header + 32 family table + 32 reserved offset = 48; // Actually 16 header + 32 family table for (let i = 0; i < activeCount && offset + 4 <= buffer.byteLength; i++) { const packed = view.getUint32(offset, true); offset += 4; const familyIndex = packed & 0x0F; const subId = (packed >> 4) & 0x1FFF; const phi = ((packed >> 17) & 0x7F) / 127; const kappaReal = ((packed >> 24) & 0x0F) / 15; const nu = ((packed >> 28) & 0x0F) / 15; const substrate = state.families[familyIndex].getSubstrate(subId); substrate.phi = phi; substrate.kappaReal = kappaReal; substrate.nu = nu; } return state; } /** * Save to localStorage */ static saveToStorage(state, key = 'seferim_state') { const binary = this.serialize(state); const base64 = btoa(String.fromCharCode(...new Uint8Array(binary))); localStorage.setItem(key, base64); localStorage.setItem(key + '_timestamp', Date.now().toString()); return binary.byteLength; } /** * Load from localStorage */ static loadFromStorage(key = 'seferim_state') { const base64 = localStorage.getItem(key); if (!base64) return null; const binary = Uint8Array.from(atob(base64), c => c.charCodeAt(0)).buffer; return this.deserialize(binary); } } // ═══════════════════════════════════════════════════════════════════════════════ // DRUM LEARNING ADAPTER - MAPS DRUM EVENTS TO SEFERIM // ═══════════════════════════════════════════════════════════════════════════════ class DrumLearningAdapter { constructor(federation) { this.federation = federation; this.state = federation.state; // Drum to family mappings this.drumFamilyMap = { // Primary mappings kick: [1, 10, 13], // Yad (technique), Hephaestus (precision), Ares (power) snare: [1, 8, 10], // Yad, Hermes (dynamics), Hephaestus hihat: [1, 12, 15], // Yad, Poseidon (flow), Chronos (tempo) crash: [8, 13, 9], // Hermes, Ares, Apollo (artistry) ride: [9, 12, 6], // Apollo, Poseidon, Sophia (genre) tom1: [1, 7, 4], // Yad, Prometheus (creativity), Mnemosyne (memory) tom2: [1, 7, 4], tom3: [1, 7, 4], }; // Pattern to family mappings this.patternFamilyMap = { basic: [0, 4, 5], // Lashon (vocab), Mnemosyne, Logos groove: [9, 12, 6], // Apollo, Poseidon, Sophia fill: [7, 4, 9], // Prometheus, Mnemosyne, Apollo polyrhythm: [5, 10, 12], // Logos, Hephaestus, Poseidon }; } /** * Process a drum hit event */ processDrumHit(drumType, velocity, timing, expectedTiming, patternContext) { // Calculate timing accuracy const timingError = Math.abs(timing - expectedTiming); const timingAccuracy = Math.max(0, 1 - timingError / 100); // 100ms tolerance // Calculate velocity accuracy const velocityNorm = velocity / 127; // Calculate overall confidence (κ) const kappa = (timingAccuracy * 0.7 + velocityNorm * 0.3); // Get relevant families const families = this.drumFamilyMap[drumType] || [1]; // Build relevance scores for substrates const relevanceScores = []; for (const familyIndex of families) { // Hash drum type + pattern context to substrate ID const substrateId = this.hashToSubstrate(drumType, patternContext); relevanceScores.push({ familyIndex, substrateId, relevance: kappa * (families.indexOf(familyIndex) === 0 ? 1.0 : 0.5) }); } // Process through federation this.federation.processItem({ familyIndex: families[0], relevanceScores, kappa }); return { kappa, timingAccuracy, velocityNorm, learningDrive: this.federation.computeLearningDrive(kappa, families[0]) }; } /** * Process pattern completion */ processPatternComplete(patternType, accuracy, combo, tempo) { const kappa = accuracy / 100; const families = this.patternFamilyMap[patternType] || [4, 5, 11]; const relevanceScores = []; for (const familyIndex of families) { const substrateId = this.hashToSubstrate(patternType, tempo); relevanceScores.push({ familyIndex, substrateId, relevance: kappa }); } // Bonus learning for combos const comboBonus = Math.min(1.0, combo / 50); this.federation.processItem({ familyIndex: families[0], relevanceScores, kappa: Math.min(1.0, kappa + comboBonus * 0.2) }); // Update skill growth family (Demeter) this.federation.processItem({ familyIndex: 11, // Demeter relevanceScores: [{ familyIndex: 11, substrateId: this.hashToSubstrate('progress', patternType), relevance: accuracy / 100 }], kappa: accuracy / 100 }); // Update motivation family (Dionysus) if (combo > 10) { this.federation.processItem({ familyIndex: 14, // Dionysus relevanceScores: [{ familyIndex: 14, substrateId: this.hashToSubstrate('combo', combo), relevance: comboBonus }], kappa: comboBonus }); } } /** * Process song learning from YouTube */ processSongLearning(song, sectionAccuracies, overallAccuracy) { const kappa = overallAccuracy / 100; // Update memory family with song data this.federation.processItem({ familyIndex: 4, // Mnemosyne relevanceScores: [{ familyIndex: 4, substrateId: this.hashToSubstrate('song', song.id), relevance: kappa }], kappa }); // Update genre family if (song.genre) { this.federation.processItem({ familyIndex: 6, // Sophia relevanceScores: [{ familyIndex: 6, substrateId: this.hashToSubstrate('genre', song.genre), relevance: kappa }], kappa }); } // Update tempo family this.federation.processItem({ familyIndex: 15, // Chronos relevanceScores: [{ familyIndex: 15, substrateId: this.hashToSubstrate('bpm', Math.floor(song.bpm / 10) * 10), relevance: kappa }], kappa }); } /** * Get adaptive difficulty recommendation */ getAdaptiveDifficulty() { const techniquePhi = this.state.families[1].meanCoherence(); // Yad const precisionPhi = this.state.families[10].meanCoherence(); // Hephaestus const tempoMastery = this.state.families[15].meanCoherence(); // Chronos const overallMastery = (techniquePhi + precisionPhi + tempoMastery) / 3; if (overallMastery < 0.2) return { level: 1, name: 'Beginner', tempoRange: [60, 80] }; if (overallMastery < 0.4) return { level: 2, name: 'Novice', tempoRange: [70, 100] }; if (overallMastery < 0.6) return { level: 3, name: 'Intermediate', tempoRange: [80, 120] }; if (overallMastery < 0.8) return { level: 4, name: 'Advanced', tempoRange: [100, 160] }; return { level: 5, name: 'Expert', tempoRange: [120, 200] }; } /** * Get skill profile across all families */ getSkillProfile() { return this.state.families.map((family, index) => ({ index, name: family.info.name, domain: family.info.domain, coherence: family.meanCoherence(), pressure: family.Psi, substrates: family.substrates.size })); } /** * Simple hash function for substrate addressing */ hashToSubstrate(type, value) { const str = `${type}:${value}`; let hash = 0; for (let i = 0; i < str.length; i++) { const char = str.charCodeAt(i); hash = ((hash << 5) - hash) + char; hash = hash & hash; } return Math.abs(hash) % SEFERIM_CONFIG.SUBSTRATES_PER_FAMILY; } } // ═══════════════════════════════════════════════════════════════════════════════ // MAIN SEFERIM INSTANCE - SINGLETON // ═══════════════════════════════════════════════════════════════════════════════ class SeferimAGI { constructor() { // Try to load existing state this.state = BinaryStateIO.loadFromStorage() || new AGIState(); this.federation = new SeferimFederation(this.state); this.adapter = new DrumLearningAdapter(this.federation); // Auto-save interval this.autoSaveInterval = null; this.startAutoSave(); console.log(` ╔══════════════════════════════════════════════════════════════╗ ║ SEFERIM AGI G16 v3.1.1 - DrumMaster Pro Integration ║ ║ 16 Families × 5000 Substrates = 80,000 Learning Sites ║ ║ Tick: ${this.state.tick.toString().padStart(8)} | Φ: ${this.state.PhiGlobal.toFixed(4)} | K: ${this.state.K} ║ ╚══════════════════════════════════════════════════════════════╝ `); } startAutoSave() { // Save every 30 seconds this.autoSaveInterval = setInterval(() => { const size = BinaryStateIO.saveToStorage(this.state); console.log(`[SEFERIM] Auto-saved state (${size} bytes)`); }, 30000); } stopAutoSave() { if (this.autoSaveInterval) { clearInterval(this.autoSaveInterval); } } // Convenience methods processDrumHit(...args) { return this.adapter.processDrumHit(...args); } processPatternComplete(...args) { return this.adapter.processPatternComplete(...args); } processSongLearning(...args) { return this.adapter.processSongLearning(...args); } getAdaptiveDifficulty() { return this.adapter.getAdaptiveDifficulty(); } getSkillProfile() { return this.adapter.getSkillProfile(); } getGlobalCoherence() { return this.state.PhiGlobal; } getTick() { return this.state.tick; } getKnowledgeBits() { return this.state.K; } save() { return BinaryStateIO.saveToStorage(this.state); } reset() { this.state = new AGIState(); this.federation = new SeferimFederation(this.state); this.adapter = new DrumLearningAdapter(this.federation); localStorage.removeItem('seferim_state'); console.log('[SEFERIM] State reset'); } // Get status for UI display getStatus() { return { tick: this.state.tick, PhiGlobal: this.state.PhiGlobal, Omega: this.state.Omega, K: this.state.K, families: this.getSkillProfile(), difficulty: this.getAdaptiveDifficulty() }; } } // ═══════════════════════════════════════════════════════════════════════════════ // EXPORT SINGLETON INSTANCE // ═══════════════════════════════════════════════════════════════════════════════ // Create global singleton window.SeferimAGI = SeferimAGI; window.SEFERIM = null; // Initialize on DOM ready document.addEventListener('DOMContentLoaded', () => { window.SEFERIM = new SeferimAGI(); }); // Also export for module usage if (typeof module !== 'undefined' && module.exports) { module.exports = { SeferimAGI, AGIState, SeferimFederation, SeferimController, SeferimAllocator, BinaryStateIO, DrumLearningAdapter, SEFERIM_CONFIG, FAMILIES, RESONANCE_MATRIX }; }

Mathematical records from this source

01

seferim-core · ║ 16 Families × 5000 Substrates

This relation defines ║ 16 Families × 5000 Substrates in the source section “seferim-core · ║ 16 Families × 5000 Substrates”. It specifies the displayed relationship between…

02

seferim-core · φ(a)_f,s(t⁺)

This relation defines φ(a)_f,s(t⁺) in the source section “seferim-core · φ(a)_f,s(t⁺)”. It specifies the displayed relationship between the named quantities or parameters. Its…

03

seferim-core · Learning Drive: Γ

This relation defines Learning Drive: Γ in the source section “seferim-core · Learning Drive: Γ”. It specifies the displayed relationship between the named quantities or…

04

seferim-core · Activation: χ

This relation defines Activation: χ in the source section “seferim-core · Activation: χ”. It specifies the displayed relationship between the named quantities or…

05

seferim-core · Plasticity: η

This relation defines Plasticity: η in the source section “seferim-core · Plasticity: η”. Applies the stated minimum, maximum, or clamp. These bounds are part of the…

06

AGI STATE CLASS - MAIN STATE CONTAINER · Compute global coherence Φ

This relation defines global coherence Φ in the source section “AGI STATE CLASS - MAIN STATE CONTAINER · Compute global coherence Φ”. It specifies the displayed relationship…

07

AGI STATE CLASS - MAIN STATE CONTAINER · dΨ/dt

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…

08

TOPK-FREE ALLOCATOR - 5-STAGE PIPELINE · For α

This relation defines For α in the source section “TOPK-FREE ALLOCATOR - 5-STAGE PIPELINE · For α”. It specifies the displayed relationship between the named quantities or…

09

SEFERIM FEDERATION - MASTER LEARNING ENGINE · MASTER UPDATE: φ(t+)

This relation defines MASTER UPDATE: φ(t+) in the source section “SEFERIM FEDERATION - MASTER LEARNING ENGINE · MASTER UPDATE: φ(t+)”. It specifies the displayed relationship…

10

SEFERIM FEDERATION - MASTER LEARNING ENGINE · Compute continuous activation χ

This relation defines continuous activation χ in the source section “SEFERIM FEDERATION - MASTER LEARNING ENGINE · Compute continuous activation χ”. It specifies the displayed…

11

SEFERIM FEDERATION - MASTER LEARNING ENGINE · Normalize pressure: Ψ̃

This relation defines Normalize pressure: Ψ̃ in the source section “SEFERIM FEDERATION - MASTER LEARNING ENGINE · Normalize pressure: Ψ̃”. It specifies the displayed relationship…

12

SEFERIM FEDERATION - MASTER LEARNING ENGINE · Activation: χ

This relation defines Activation: χ in the source section “SEFERIM FEDERATION - MASTER LEARNING ENGINE · Activation: χ”. It specifies the displayed relationship between the named…

13

SEFERIM FEDERATION - MASTER LEARNING ENGINE · Compute learning drive Γ

This relation defines learning drive Γ in the source section “SEFERIM FEDERATION - MASTER LEARNING ENGINE · Compute learning drive Γ”. It specifies the displayed relationship…

14

BINARY STATE PERSISTENCE · FAMILY TABLE (32 bytes

This relation defines FAMILY TABLE (32 bytes in the source section “BINARY STATE PERSISTENCE · FAMILY TABLE (32 bytes”. It specifies the displayed relationship between the named…

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