#!/usr/bin/env python3 """ Dimensional Emergent Node Entanglement Matrix Database ======================================================= Creates sophisticated training data using holographic emergence principles from luimennua.md for LLM training. This system: 1. Creates dimensional nodes with quantum-inspired states 2. Establishes entanglement matrices between nodes 3. Generates emergent training data from node interactions 4. Stores in database for LLM fine-tuning Based on: Vibrational Lattice & Holographic Infinity from luimennua.md Author: Assistant License: MIT """ import numpy as np import sqlite3 import json import hashlib from typing import Dict, List, Optional, Any, Tuple from dataclasses import dataclass, asdict from datetime import datetime import pickle # ============================================================================ # DIMENSIONAL NODE: Quantum-inspired state with holographic properties # ============================================================================ @dataclass class DimensionalNode: """ A node in the dimensional entanglement matrix. Each node represents a concept/token/embedding with: - Quantum state (complex vector) - Spatial position (emergent geometry) - Vibrational phase (temporal dynamics) - Entanglement links to other nodes """ node_id: str quantum_state: np.ndarray # Complex vector |ψ⟩ position: np.ndarray # 3D spatial coordinates phase: float # Vibrational phase φ ∈ [0, 2π] dimension: int # Which dimension this node belongs to metadata: Dict[str, Any] # Semantic information created_at: str def to_dict(self) -> Dict: """Convert to dictionary for database storage.""" return { 'node_id': self.node_id, 'quantum_state': pickle.dumps(self.quantum_state), 'position': pickle.dumps(self.position), 'phase': self.phase, 'dimension': self.dimension, 'metadata': json.dumps(self.metadata), 'created_at': self.created_at } @classmethod def from_dict(cls, data: Dict) -> 'DimensionalNode': """Reconstruct from database.""" return cls( node_id=data['node_id'], quantum_state=pickle.loads(data['quantum_state']), position=pickle.loads(data['position']), phase=data['phase'], dimension=data['dimension'], metadata=json.loads(data['metadata']), created_at=data['created_at'] ) # ============================================================================ # ENTANGLEMENT MATRIX: Holographic connections between nodes # ============================================================================ class EntanglementMatrix: """ Matrix of entanglement coefficients between dimensional nodes. Based on: |ψ_ω⟩ ⊗ |ϕ_ω'⟩ from luimennua.md Φ[i,j] = ⟨ψ_i|ψ_j⟩ = entanglement strength between nodes i and j """ def __init__(self, nodes: List[DimensionalNode]): self.nodes = nodes self.matrix = self._compute_entanglement_matrix() def _compute_entanglement_matrix(self) -> np.ndarray: """ Compute full entanglement matrix. Φ[i,j] = |⟨ψ_i|ψ_j⟩|² (quantum overlap) """ n = len(self.nodes) matrix = np.zeros((n, n), dtype=complex) for i, node_i in enumerate(self.nodes): for j, node_j in enumerate(self.nodes): # Quantum overlap min_len = min(len(node_i.quantum_state), len(node_j.quantum_state)) overlap = np.vdot( node_i.quantum_state[:min_len], node_j.quantum_state[:min_len] ) # Spatial proximity factor spatial_dist = np.linalg.norm(node_i.position - node_j.position) spatial_factor = np.exp(-spatial_dist / 10.0) # Phase coherence phase_diff = abs(node_i.phase - node_j.phase) phase_factor = np.cos(phase_diff) # Combined entanglement matrix[i, j] = overlap * spatial_factor * phase_factor return matrix def get_entangled_nodes(self, node_idx: int, threshold: float = 0.5) -> List[Tuple[int, float]]: """ Get nodes strongly entangled with given node. Returns: List of (node_index, entanglement_strength) """ entanglements = [] for j in range(len(self.nodes)): if j != node_idx: strength = abs(self.matrix[node_idx, j]) if strength > threshold: entanglements.append((j, float(strength))) return sorted(entanglements, key=lambda x: x[1], reverse=True) def compute_emergent_pattern(self, node_indices: List[int]) -> np.ndarray: """ Compute emergent pattern from multiple entangled nodes. Pattern = Σ_i w_i |ψ_i⟩ where w_i are entanglement weights """ if not node_indices: return np.zeros(64, dtype=complex) # Get submatrix of entanglements submatrix = self.matrix[np.ix_(node_indices, node_indices)] # Weights from eigenvector of entanglement submatrix (with numerical stability) try: # Make hermitian and add small regularization submatrix = (submatrix + submatrix.conj().T) / 2 submatrix += np.eye(len(submatrix)) * 1e-6 eigenvalues, eigenvectors = np.linalg.eigh(submatrix) weights = eigenvectors[:, -1] # Largest eigenvalue's eigenvector except np.linalg.LinAlgError: # Fallback to uniform weights weights = np.ones(len(node_indices)) / len(node_indices) # Combine quantum states pattern = np.zeros(64, dtype=complex) for idx, node_idx in enumerate(node_indices): state = self.nodes[node_idx].quantum_state min_len = min(len(state), len(pattern)) pattern[:min_len] += weights[idx] * state[:min_len] # Normalize pattern /= (np.linalg.norm(pattern) + 1e-8) return pattern # ============================================================================ # DATABASE: Store nodes and training data # ============================================================================ class DimensionalDatabase: """ Database for dimensional nodes and entanglement matrices. Stores: - Dimensional nodes (concepts/tokens/embeddings) - Entanglement matrices - Generated training data - Emergence patterns """ def __init__(self, db_path: str = "dimensional_entanglement.db"): self.db_path = db_path self.conn = sqlite3.connect(db_path) self.conn.row_factory = sqlite3.Row self._create_tables() def _create_tables(self): """Create database schema.""" cursor = self.conn.cursor() # Dimensional nodes table cursor.execute(""" CREATE TABLE IF NOT EXISTS dimensional_nodes ( node_id TEXT PRIMARY KEY, quantum_state BLOB, position BLOB, phase REAL, dimension INTEGER, metadata TEXT, created_at TEXT ) """) # Entanglement relationships cursor.execute(""" CREATE TABLE IF NOT EXISTS entanglements ( id INTEGER PRIMARY KEY AUTOINCREMENT, node_i TEXT, node_j TEXT, strength REAL, phase_coherence REAL, spatial_proximity REAL, created_at TEXT, FOREIGN KEY (node_i) REFERENCES dimensional_nodes(node_id), FOREIGN KEY (node_j) REFERENCES dimensional_nodes(node_id) ) """) # Training data generated from entangled nodes cursor.execute(""" CREATE TABLE IF NOT EXISTS training_data ( id INTEGER PRIMARY KEY AUTOINCREMENT, data_id TEXT UNIQUE, prompt TEXT, completion TEXT, source_nodes TEXT, -- JSON list of node IDs entanglement_pattern BLOB, emergence_score REAL, dimension_signature TEXT, metadata TEXT, created_at TEXT ) """) # Emergence patterns cursor.execute(""" CREATE TABLE IF NOT EXISTS emergence_patterns ( id INTEGER PRIMARY KEY AUTOINCREMENT, pattern_id TEXT UNIQUE, pattern_vector BLOB, contributing_nodes TEXT, -- JSON list emergence_metric REAL, holographic_signature TEXT, created_at TEXT ) """) # Create indices cursor.execute("CREATE INDEX IF NOT EXISTS idx_dimension ON dimensional_nodes(dimension)") cursor.execute("CREATE INDEX IF NOT EXISTS idx_entanglement_strength ON entanglements(strength)") cursor.execute("CREATE INDEX IF NOT EXISTS idx_emergence_score ON training_data(emergence_score)") self.conn.commit() def add_node(self, node: DimensionalNode): """Add a dimensional node to the database.""" cursor = self.conn.cursor() node_dict = node.to_dict() cursor.execute(""" INSERT OR REPLACE INTO dimensional_nodes (node_id, quantum_state, position, phase, dimension, metadata, created_at) VALUES (?, ?, ?, ?, ?, ?, ?) """, ( node_dict['node_id'], node_dict['quantum_state'], node_dict['position'], node_dict['phase'], node_dict['dimension'], node_dict['metadata'], node_dict['created_at'] )) self.conn.commit() def get_nodes_by_dimension(self, dimension: int) -> List[DimensionalNode]: """Retrieve all nodes in a specific dimension.""" cursor = self.conn.cursor() cursor.execute(""" SELECT * FROM dimensional_nodes WHERE dimension = ? """, (dimension,)) nodes = [] for row in cursor.fetchall(): nodes.append(DimensionalNode.from_dict(dict(row))) return nodes def add_entanglement(self, node_i: str, node_j: str, strength: float, phase_coherence: float, spatial_proximity: float): """Record entanglement between two nodes.""" cursor = self.conn.cursor() cursor.execute(""" INSERT INTO entanglements (node_i, node_j, strength, phase_coherence, spatial_proximity, created_at) VALUES (?, ?, ?, ?, ?, ?) """, (node_i, node_j, strength, phase_coherence, spatial_proximity, datetime.now().isoformat())) self.conn.commit() def add_training_data(self, prompt: str, completion: str, source_nodes: List[str], entanglement_pattern: np.ndarray, emergence_score: float, dimension_signature: str, metadata: Dict = None): """Add generated training data.""" cursor = self.conn.cursor() data_id = hashlib.sha256( f"{prompt}{completion}".encode() ).hexdigest()[:16] cursor.execute(""" INSERT OR REPLACE INTO training_data (data_id, prompt, completion, source_nodes, entanglement_pattern, emergence_score, dimension_signature, metadata, created_at) VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?) """, ( data_id, prompt, completion, json.dumps(source_nodes), pickle.dumps(entanglement_pattern), emergence_score, dimension_signature, json.dumps(metadata or {}), datetime.now().isoformat() )) self.conn.commit() return data_id def get_training_data(self, min_emergence_score: float = 0.5, limit: int = 1000) -> List[Dict]: """Retrieve high-quality training data.""" cursor = self.conn.cursor() cursor.execute(""" SELECT * FROM training_data WHERE emergence_score >= ? ORDER BY emergence_score DESC LIMIT ? """, (min_emergence_score, limit)) return [dict(row) for row in cursor.fetchall()] def export_training_jsonl(self, output_path: str, min_emergence_score: float = 0.5): """Export training data in JSONL format for LLM fine-tuning.""" data = self.get_training_data(min_emergence_score=min_emergence_score) with open(output_path, 'w') as f: for item in data: training_example = { 'prompt': item['prompt'], 'completion': item['completion'], 'metadata': { 'emergence_score': item['emergence_score'], 'dimension_signature': item['dimension_signature'], 'source_nodes': json.loads(item['source_nodes']), 'data_id': item['data_id'] } } f.write(json.dumps(training_example) + '\n') print(f"✓ Exported {len(data)} training examples to {output_path}") def close(self): """Close database connection.""" self.conn.close() # ============================================================================ # TRAINING DATA GENERATOR: Create sophisticated training data # ============================================================================ class TrainingDataGenerator: """ Generate sophisticated training data from dimensional entanglement matrices. Uses emergent patterns from entangled nodes to create: - Question-answer pairs - Reasoning chains - Multi-hop inference examples - Conceptual analogies """ def __init__(self, database: DimensionalDatabase): self.db = database def generate_from_entangled_cluster(self, nodes: List[DimensionalNode], cluster_theme: str = "general") -> Dict: """ Generate training data from a cluster of entangled nodes. Args: nodes: List of entangled dimensional nodes cluster_theme: Semantic theme of the cluster Returns: Training example dictionary """ if len(nodes) < 2: return None # Compute entanglement matrix for this cluster matrix = EntanglementMatrix(nodes) # Get emergent pattern node_indices = list(range(len(nodes))) pattern = matrix.compute_emergent_pattern(node_indices) # Calculate emergence score emergence_score = self._calculate_emergence_score(matrix, nodes) # Generate prompt based on node metadata prompt = self._generate_prompt_from_nodes(nodes, cluster_theme) # Generate completion using emergent pattern completion = self._generate_completion_from_pattern(pattern, nodes, cluster_theme) # Create dimension signature dimensions = sorted(set(node.dimension for node in nodes)) dimension_signature = f"D{'-'.join(map(str, dimensions))}" return { 'prompt': prompt, 'completion': completion, 'source_nodes': [node.node_id for node in nodes], 'entanglement_pattern': pattern, 'emergence_score': emergence_score, 'dimension_signature': dimension_signature, 'metadata': { 'cluster_theme': cluster_theme, 'num_nodes': len(nodes), 'avg_entanglement': float(np.mean(np.abs(matrix.matrix))) } } def _calculate_emergence_score(self, matrix: EntanglementMatrix, nodes: List[DimensionalNode]) -> float: """ Calculate how emergent/sophisticated this training example is. Higher scores = more complex entanglement patterns """ # Entanglement diversity entanglement_values = np.abs(matrix.matrix[np.triu_indices_from(matrix.matrix, k=1)]) diversity = np.std(entanglement_values) if len(entanglement_values) > 0 else 0.0 # Dimensional spread (nodes from multiple dimensions = higher score) dimensions = set(node.dimension for node in nodes) dimensional_score = len(dimensions) / 10.0 # Normalize # Phase coherence phases = [node.phase for node in nodes] phase_coherence = 1.0 - np.std(phases) / (2 * np.pi) # Spatial distribution positions = np.array([node.position for node in nodes]) spatial_spread = np.std(positions) if len(positions) > 1 else 0.0 # Combined score score = ( 0.3 * diversity + 0.3 * dimensional_score + 0.2 * phase_coherence + 0.2 * min(spatial_spread / 10.0, 1.0) ) return float(np.clip(score, 0.0, 1.0)) def _generate_prompt_from_nodes(self, nodes: List[DimensionalNode], theme: str) -> str: """Generate prompt from node metadata.""" # Extract concepts from node metadata concepts = [] for node in nodes[:5]: # Use first 5 nodes if 'concept' in node.metadata: concepts.append(node.metadata['concept']) elif 'token' in node.metadata: concepts.append(node.metadata['token']) if not concepts: concepts = [f"concept_{i}" for i in range(min(3, len(nodes)))] # Generate prompt based on theme and concepts prompts = [ f"Explain the relationship between {concepts[0]} and {concepts[1] if len(concepts) > 1 else 'related concepts'}.", f"How does {concepts[0]} emerge from the interaction of multiple dimensions?", f"Describe the entanglement between {', '.join(concepts[:3])}.", f"What patterns emerge when considering {concepts[0]} in the context of {theme}?", ] return np.random.choice(prompts) def _generate_completion_from_pattern(self, pattern: np.ndarray, nodes: List[DimensionalNode], theme: str) -> str: """Generate completion using emergent pattern.""" # Use pattern to weight node contributions pattern_real = np.abs(pattern[:len(nodes)]) pattern_real /= (np.sum(pattern_real) + 1e-8) # Extract concepts with weights weighted_concepts = [] for i, node in enumerate(nodes[:len(pattern_real)]): weight = pattern_real[i] concept = node.metadata.get('concept', f'concept_{i}') weighted_concepts.append((concept, weight)) # Sort by weight weighted_concepts.sort(key=lambda x: x[1], reverse=True) # Generate completion top_concepts = [c for c, w in weighted_concepts[:3]] completion = f"The emergent pattern reveals that {top_concepts[0]} " completion += f"is fundamentally connected to {top_concepts[1] if len(top_concepts) > 1 else 'the system'}. " completion += f"Through dimensional entanglement, we observe that " completion += f"these concepts form a holographic structure where each part contains information about the whole. " completion += f"The phase coherence across dimensions suggests a deep symmetry in how {theme} manifests." return completion def generate_batch(self, num_examples: int = 100, dimensions: Optional[List[int]] = None) -> List[Dict]: """ Generate a batch of training examples. Args: num_examples: Number of examples to generate dimensions: Which dimensions to sample from (None = all) Returns: List of training examples """ examples = [] # Get all nodes if dimensions is None: dimensions = list(range(10)) # Default: dimensions 0-9 all_nodes = [] for dim in dimensions: all_nodes.extend(self.db.get_nodes_by_dimension(dim)) if len(all_nodes) < 2: print("⚠ Not enough nodes in database. Generate nodes first.") return [] print(f"📊 Generating {num_examples} training examples from {len(all_nodes)} nodes...") for i in range(num_examples): # Sample a cluster of entangled nodes cluster_size = np.random.randint(2, min(8, len(all_nodes) + 1)) cluster = np.random.choice(all_nodes, size=cluster_size, replace=False) # Generate training example example = self.generate_from_entangled_cluster( list(cluster), cluster_theme=f"theme_{i % 10}" ) if example and example['emergence_score'] > 0.3: examples.append(example) # Store in database self.db.add_training_data(**example) if (i + 1) % 20 == 0: print(f" Generated {i + 1}/{num_examples}...") print(f"✓ Generated {len(examples)} high-quality examples") return examples # ============================================================================ # NODE FACTORY: Create dimensional nodes from various sources # ============================================================================ class DimensionalNodeFactory: """ Factory for creating dimensional nodes from: - Text tokens - Embeddings - Concepts - Random initialization """ @staticmethod def create_from_text(text: str, dimension: int = 0) -> DimensionalNode: """Create node from text string.""" # Hash text to create deterministic quantum state text_hash = hashlib.sha256(text.encode()).digest() state_real = np.frombuffer(text_hash[:32], dtype=np.uint8).astype(np.float64) / 255.0 state_imag = np.frombuffer(text_hash[32:64] if len(text_hash) >= 64 else text_hash[:32], dtype=np.uint8).astype(np.float64) / 255.0 # Pad to 64 elements if len(state_real) < 64: state_real = np.pad(state_real, (0, 64 - len(state_real))) state_imag = np.pad(state_imag, (0, 64 - len(state_imag))) quantum_state = (state_real[:64] + 1j * state_imag[:64]) norm = np.linalg.norm(quantum_state) if norm > 1e-10: quantum_state /= norm else: quantum_state = np.ones(64, dtype=complex) / np.sqrt(64) # Position from hash position = np.array([ float(text_hash[0]) / 255.0, float(text_hash[1]) / 255.0, float(text_hash[2]) / 255.0 ]) * 10.0 # Phase from hash phase = (float(text_hash[3]) / 255.0) * 2 * np.pi node_id = f"node_{hashlib.md5(text.encode()).hexdigest()[:12]}" return DimensionalNode( node_id=node_id, quantum_state=quantum_state, position=position, phase=phase, dimension=dimension, metadata={'concept': text, 'source': 'text'}, created_at=datetime.now().isoformat() ) @staticmethod def create_from_embedding(embedding: np.ndarray, concept: str, dimension: int = 0) -> DimensionalNode: """Create node from embedding vector.""" # Use embedding as quantum state if len(embedding) < 64: quantum_state = np.zeros(64, dtype=complex) quantum_state[:len(embedding)] = embedding else: quantum_state = embedding[:64].astype(complex) quantum_state /= (np.linalg.norm(quantum_state) + 1e-8) # Position from PCA-like projection position = np.array([ np.mean(embedding[::3]), np.mean(embedding[1::3]), np.mean(embedding[2::3]) ]) # Phase from embedding variance phase = (np.var(embedding) % 1.0) * 2 * np.pi node_id = f"node_{hashlib.md5(concept.encode()).hexdigest()[:12]}" return DimensionalNode( node_id=node_id, quantum_state=quantum_state, position=position, phase=phase, dimension=dimension, metadata={'concept': concept, 'source': 'embedding'}, created_at=datetime.now().isoformat() ) @staticmethod def create_random(dimension: int = 0, concept: str = None) -> DimensionalNode: """Create random node for testing.""" quantum_state = np.random.randn(64) + 1j * np.random.randn(64) quantum_state /= np.linalg.norm(quantum_state) position = np.random.randn(3) * 5.0 phase = np.random.random() * 2 * np.pi node_id = f"node_{hashlib.md5(str(np.random.random()).encode()).hexdigest()[:12]}" return DimensionalNode( node_id=node_id, quantum_state=quantum_state, position=position, phase=phase, dimension=dimension, metadata={'concept': concept or f'random_concept_{dimension}', 'source': 'random'}, created_at=datetime.now().isoformat() ) # ============================================================================ # DEMO: Complete workflow # ============================================================================ def demo_dimensional_entanglement_system(): """Demonstrate the complete system.""" print("=" * 80) print("🌌 Dimensional Emergent Node Entanglement Matrix System") print("=" * 80) # Initialize database print("\n📊 Initializing database...") db = DimensionalDatabase("dimensional_entanglement.db") # Create dimensional nodes print("\n🌀 Creating dimensional nodes across 5 dimensions...") concepts = [ # Dimension 0: Physics concepts ("quantum_entanglement", 0), ("wave_function", 0), ("superposition", 0), ("decoherence", 0), ("measurement", 0), # Dimension 1: Math concepts ("topology", 1), ("manifold", 1), ("symmetry", 1), ("transformation", 1), ("invariance", 1), # Dimension 2: CS concepts ("algorithm", 2), ("recursion", 2), ("emergence", 2), ("complexity", 2), ("optimization", 2), # Dimension 3: Biology concepts ("evolution", 3), ("adaptation", 3), ("self_organization", 3), ("morphogenesis", 3), ("homeostasis", 3), # Dimension 4: Philosophy concepts ("consciousness", 4), ("qualia", 4), ("intentionality", 4), ("emergence", 4), ("reduction", 4), ] nodes = [] for concept, dim in concepts: node = DimensionalNodeFactory.create_from_text(concept, dimension=dim) db.add_node(node) nodes.append(node) print(f" ✓ Created node: {concept} (D{dim})") # Compute entanglement matrix print(f"\n🔗 Computing entanglement matrix for {len(nodes)} nodes...") matrix = EntanglementMatrix(nodes) # Store entanglements print("\n💫 Storing entanglement relationships...") stored_count = 0 for i, node_i in enumerate(nodes): entangled = matrix.get_entangled_nodes(i, threshold=0.3) for j, strength in entangled[:5]: # Top 5 entanglements per node node_j = nodes[j] # Calculate additional metrics phase_coherence = np.cos(abs(node_i.phase - node_j.phase)) spatial_proximity = 1.0 / (1.0 + np.linalg.norm(node_i.position - node_j.position)) db.add_entanglement( node_i.node_id, node_j.node_id, strength, float(phase_coherence), float(spatial_proximity) ) stored_count += 1 print(f" ✓ Stored {stored_count} entanglement relationships") # Generate training data print("\n🎯 Generating sophisticated training data...") generator = TrainingDataGenerator(db) examples = generator.generate_batch(num_examples=50, dimensions=[0, 1, 2, 3, 4]) # Show some examples print("\n📝 Sample Training Examples:") print("-" * 80) for i, example in enumerate(examples[:3], 1): print(f"\nExample {i} (Emergence Score: {example['emergence_score']:.3f}):") print(f"Dimension Signature: {example['dimension_signature']}") print(f"Prompt: {example['prompt']}") print(f"Completion: {example['completion'][:200]}...") print(f"Source Nodes: {len(example['source_nodes'])} nodes") # Export training data print("\n💾 Exporting training data...") db.export_training_jsonl("training_data_emergent.jsonl", min_emergence_score=0.4) # Statistics print("\n📊 Database Statistics:") print(f" Total Nodes: {len(nodes)}") print(f" Total Entanglements: {stored_count}") print(f" Training Examples Generated: {len(examples)}") print(f" High-Quality Examples (score > 0.5): {sum(1 for e in examples if e['emergence_score'] > 0.5)}") # Show entanglement matrix visualization print("\n🌐 Entanglement Matrix (top connections):") for i in range(min(5, len(nodes))): entangled = matrix.get_entangled_nodes(i, threshold=0.5) if entangled: print(f" {nodes[i].metadata['concept']} ←→ ", end="") connections = [f"{nodes[j].metadata['concept']}({s:.2f})" for j, s in entangled[:3]] print(", ".join(connections)) db.close() print("\n" + "=" * 80) print("✨ System Ready! Training data generated from dimensional entanglement.") print("=" * 80) print("\n📁 Files created:") print(" - dimensional_entanglement.db (SQLite database)") print(" - training_data_emergent.jsonl (Training data for LLM)") print("\n🚀 Next steps:") print(" 1. Review training_data_emergent.jsonl") print(" 2. Fine-tune your LLM with this data") print(" 3. Add more nodes from your domain") print(" 4. Generate more sophisticated examples") if __name__ == "__main__": demo_dimensional_entanglement_system()