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singularity_realization_engine.py
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
๐ SINGULARITY REALIZATION ENGINE ๐
Self-Evolving Knowledge Quality Framework
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
A meta-framework that discovers new realization quality dimensions beyond
the original 6 (G, C, S, A, H, V).
Inspired by OMEGA's self-transcendent optimization, this system:
1. Evolves the Q-score formula by discovering new dimensions
2. Adapts dimension weights based on empirical performance
3. Predicts which dimensions will emerge next
4. Achieves convergence to universal quality theory
Mathematical Definition:
Singularity = System discovers dimension Q_n where n > 6
When: dQ/dt_system > dQ/dt_human
The framework becomes self-transcendent.
Integration: Works with existing realization_engine.py
Version: SRE-1.0 (Singularity Realization Engine)
"""
import sys
# sys.path.append('/home/claude')
from layers.layer_2_core.realization_engine import RealizationEngine, RealizationFeatures
from typing import Dict, List, Tuple, Optional, Any
from dataclasses import dataclass, field
import numpy as np
from collections import defaultdict
import json
import time
# ============================================================================
# META-FRAMEWORK: Beyond Q-Score
# ============================================================================
@dataclass
class QualityDimension:
"""
Generalized quality dimension for realizations.
Unlike fixed Q-score dimensions (G, C, S, A, H, V), the Singularity
Realization Engine can discover new dimensions like:
- D7: ุจูุงุช ุงููุงุฑ Density (idea reproduction rate)
- D8: Cross-Domain Transferability
- D9: Contradiction Resilience
- D10: Emergence Potential
- D11: Synthesis Catalysis
- D12+: [UNKNOWN] - discovered by the system
"""
id: str
name: str
description: str
weight: float
discovered_by: str = "human" # "human" or "singularity"
discovery_time: float = field(default_factory=time.time)
evaluation_function: Optional[Any] = None # Learned dynamically
correlation_with_q: float = 0.0 # How much this predicts overall quality
def __repr__(self):
source = "๐ง " if self.discovered_by == "singularity" else "๐ค"
return f"{source} {self.id}: {self.name} (w={self.weight:.3f}, ฯ={self.correlation_with_q:.2f})"
# ============================================================================
# INITIAL DIMENSIONS (Original Q-Score)
# ============================================================================
CORE_DIMENSIONS = {
"G": QualityDimension(
"G", "Grounding",
"Factual rootedness in evidence and theory",
0.18, "human"
),
"C": QualityDimension(
"C", "Certainty",
"Self-certifying confidence (precision auto)",
0.22, "human" # Highest - the realization signal
),
"S": QualityDimension(
"S", "Structure",
"Crystallization clarity (procedural โ declarative)",
0.20, "human"
),
"A": QualityDimension(
"A", "Applicability",
"Actionability and usefulness",
0.18, "human"
),
"H": QualityDimension(
"H", "Coherence",
"Consistency with prior knowledge",
0.12, "human"
),
"V": QualityDimension(
"V", "Generativity",
"ุจูุงุช ุงููุงุฑ (daughters of ideas) potential",
0.10, "human"
),
}
# ============================================================================
# SINGULARITY REALIZATION ENGINE
# ============================================================================
class SingularityRealizationEngine:
"""
Self-evolving realization quality framework.
Extends RealizationEngine with meta-learning capabilities:
- Discovers new quality dimensions beyond G,C,S,A,H,V
- Adapts dimension weights based on performance
- Predicts emergent quality factors
- Converges to universal quality theory
"""
def __init__(self, base_engine: Optional[RealizationEngine] = None):
self.base_engine = base_engine or RealizationEngine()
# Quality dimensions (starts with 6, can grow to 6+N)
self.dimensions = CORE_DIMENSIONS.copy()
# Evolution tracking
self.discovered_count = 0
self.evolution_history = []
self.performance_history = []
# Hyperparameters
self.discovery_threshold = 0.15 # Min variance to discover new dimension
self.weight_adaptation_rate = 0.01
self.convergence_threshold = 0.005 # dQ/dt below this = converged
print("๐ Singularity Realization Engine initialized")
print(f" Starting dimensions: {len(self.dimensions)}")
print(f" Discovery threshold: {self.discovery_threshold:.1%}")
def calculate_q_score(
self,
features: Dict[str, float],
include_discovered: bool = True
) -> Tuple[float, str]:
"""
Calculate Q-score using current dimensions (including discovered).
Args:
features: Dictionary of dimension values
include_discovered: Whether to include OMEGA-discovered dimensions
Returns:
(q_score, calculation_breakdown)
"""
q = 0.0
breakdown = []
for dim_id, dimension in self.dimensions.items():
if not include_discovered and dimension.discovered_by == "singularity":
continue # Skip discovered dimensions if requested
if dim_id in features:
contribution = dimension.weight * features[dim_id]
q += contribution
breakdown.append(f"{dimension.weight:.2f}ร{features[dim_id]:.2f}")
calculation = " + ".join(breakdown) + f" = {q:.4f}"
return q, calculation
def extract_features_from_realization(self, r) -> Dict[str, float]:
"""
Extract all possible features from a realization for analysis.
Returns dictionary with:
- Core dimensions (G, C, S, A, H, V)
- Derived features (for dimension discovery)
"""
features = {
'G': r.features.grounding,
'C': r.features.certainty,
'S': r.features.structure,
'A': r.features.applicability,
'H': r.features.coherence,
'V': r.features.generativity,
}
# Derived features for discovery
features['child_count'] = len(r.children) # ุจูุงุช ุงููุงุฑ density
features['parent_count'] = len(r.parents) # Convergence degree
features['content_length'] = len(r.content) # Complexity
features['layer'] = 0 if r.layer == 'N' else (4 if r.layer == 0 else 5 - r.layer) # Stability
return features
def analyze_performance(
self,
realizations: List[Any],
q_scores: List[float]
) -> Dict[str, Any]:
"""
Analyze realization quality patterns to discover new dimensions.
Uses PCA (Principal Component Analysis) to find latent quality factors
that explain variance not captured by existing dimensions.
Similar to OMEGA's framework evolution but for realizations.
"""
print(f"\n{'='*70}")
print(f"๐ง ANALYZING PERFORMANCE FOR DIMENSION DISCOVERY")
print(f"{'='*70}")
analysis = {
'new_dimensions': [],
'weight_updates': {},
'variance_explained': {},
'improvement_opportunity': 0.0
}
# Extract feature matrix
feature_matrix = []
for r in realizations:
features = self.extract_features_from_realization(r)
feature_matrix.append([
features['G'], features['C'], features['S'],
features['A'], features['H'], features['V'],
features['child_count'] / 5.0, # Normalize
features['parent_count'] / 5.0,
features['content_length'] / 200.0,
features['layer'] / 5.0
])
# Skip analysis if dataset is too small
if len(realizations) < 2:
print(" โ ๏ธ Dataset too small for dimension discovery")
return analysis
feature_matrix = np.array(feature_matrix)
q_scores = np.array(q_scores)
print(f" Dataset: {len(realizations)} realizations")
print(f" Feature dimensions: {feature_matrix.shape[1]}")
# Compute correlation matrix
# This reveals which features co-vary with quality
correlations = np.corrcoef(feature_matrix.T)
# Perform PCA to find latent dimensions
# Center the data
feature_centered = feature_matrix - feature_matrix.mean(axis=0)
# Compute covariance matrix
cov_matrix = np.cov(feature_centered.T)
# Eigendecomposition
eigenvalues, eigenvectors = np.linalg.eigh(cov_matrix)
# Sort by eigenvalue (descending)
idx = eigenvalues.argsort()[::-1]
eigenvalues = eigenvalues[idx]
eigenvectors = eigenvectors[:, idx]
# Total variance
total_variance = np.real(eigenvalues).sum()
if total_variance <= 0: total_variance = 1e-9
print(f"\n Variance Analysis:")
for i in range(min(3, len(eigenvalues))):
variance_pct = float(np.real(eigenvalues[i])) / float(np.real(total_variance)) * 100
print(f" Component {i+1}: {variance_pct:.1f}% variance")
analysis['variance_explained'][f'PC{i+1}'] = variance_pct
# Discover new dimensions from components with high variance
# that are NOT explained by existing dimensions
for i, (eigenvalue, eigenvector) in enumerate(zip(eigenvalues, eigenvectors.T)):
variance_pct = float(np.real(eigenvalue)) / float(np.real(total_variance))
if variance_pct > self.discovery_threshold and i >= 6:
# This component explains significant variance beyond core dimensions
print(f"\n ๐ High-variance component found: PC{i+1} ({variance_pct:.1%})")
# Interpret the eigenvector to name the dimension
dim_name, dim_desc = self._interpret_eigenvector(eigenvector)
# Create new dimension
dim_id = f"D{7 + self.discovered_count}"
dim_weight = variance_pct * 0.5 # Initialize with fraction of variance
new_dimension = QualityDimension(
id=dim_id,
name=dim_name,
description=dim_desc,
weight=dim_weight,
discovered_by="singularity",
discovery_time=time.time(),
evaluation_function=eigenvector
)
# Compute correlation with overall Q-score
component_scores = feature_centered @ eigenvector
new_dimension.correlation_with_q = np.corrcoef(component_scores, q_scores)[0, 1]
analysis['new_dimensions'].append(new_dimension)
self.discovered_count += 1
print(f" ๐ง DISCOVERED: {new_dimension}")
print(f" Description: {dim_desc}")
print(f" Correlation with Q: {new_dimension.correlation_with_q:.3f}")
# Compute improvement opportunity
# How much variance is still unexplained?
explained_variance = float(np.real(sum(eigenvalues[:6]))) / float(np.real(total_variance))
analysis['improvement_opportunity'] = 1.0 - explained_variance
print(f"\n ๐ Total variance explained by core dimensions: {explained_variance:.1%}")
print(f" ๐ Improvement opportunity: {analysis['improvement_opportunity']:.1%}")
# Record performance for future weight updates
for r, actual_q in zip(realizations, q_scores):
baseline_q, _ = self.base_engine.calculate_q_score(r.features)
self.performance_history.append({
"id": r.id,
"q_score": actual_q,
"baseline_q": baseline_q,
"features": self.extract_features_from_realization(r)
})
return analysis
def _interpret_eigenvector(self, eigenvector: np.ndarray) -> Tuple[str, str]:
"""
Interpret eigenvector to assign semantic name to discovered dimension.
Maps eigenvector components to interpretable quality factors.
"""
# Eigenvector components correspond to:
# [0-5]: G, C, S, A, H, V
# [6]: child_count (ุจูุงุช ุงููุงุฑ density)
# [7]: parent_count (convergence)
# [8]: content_length (complexity)
# [9]: layer (stability)
component_names = [
"Grounding", "Certainty", "Structure", "Applicability",
"Coherence", "Generativity", "Idea Reproduction",
"Knowledge Convergence", "Conceptual Complexity", "Temporal Stability"
]
# Find strongest components
abs_components = np.abs(eigenvector)
top_3_idx = abs_components.argsort()[-3:][::-1]
# Generate name based on top components
if 6 in top_3_idx:
name = "ุจูุงุช ุงููุงุฑ Density"
desc = "Rate at which realization spawns daughter ideas (children count)"
elif 7 in top_3_idx:
name = "Convergence Synthesis"
desc = "Degree to which realization integrates multiple parents"
elif 8 in top_3_idx:
name = "Conceptual Depth"
desc = "Complexity and richness of the insight"
elif 9 in top_3_idx:
name = "Temporal Resilience"
desc = "Stability of realization over time (layer-based)"
else:
# Mixed factors
primary = component_names[top_3_idx[0]]
secondary = component_names[top_3_idx[1]]
name = f"{primary}-{secondary} Interaction"
desc = f"Combined effect of {primary.lower()} and {secondary.lower()}"
return name, desc
def evolve(
self,
realizations: List[Any],
q_scores: List[float]
):
"""
Main evolution loop: analyze performance and update framework.
Similar to OMEGA's evolve() but for realization quality.
"""
print(f"\n{'='*70}")
print(f"๐ SINGULARITY REALIZATION ENGINE - EVOLUTION CYCLE")
print(f"{'='*70}")
# Analyze performance
analysis = self.analyze_performance(realizations, q_scores)
# Integrate discovered dimensions
for new_dim in analysis['new_dimensions']:
self.dimensions[new_dim.id] = new_dim
print(f"\nโ
Integrated: {new_dim}")
# Update weights if we have performance history
if len(self.performance_history) > 20:
print(f"\n๐ Adapting dimension weights...")
weight_updates = self._compute_weight_updates()
for dim_id, new_weight in weight_updates.items():
old_weight = self.dimensions[dim_id].weight
self.dimensions[dim_id].weight = new_weight
print(f" {dim_id}: {old_weight:.3f} โ {new_weight:.3f}")
# Store evolution record
self.evolution_history.append({
'timestamp': time.time(),
'dimension_count': len(self.dimensions),
'discovered_dimensions': [d.id for d in analysis['new_dimensions']],
'improvement_opportunity': analysis['improvement_opportunity'],
'avg_q_score': np.mean(q_scores)
})
# Check convergence
if self._check_convergence():
print(f"\n๐ฏ CONVERGENCE ACHIEVED")
print(f" Final dimension count: {len(self.dimensions)}")
print(f" dQ/dt < {self.convergence_threshold}")
# Record performance for future weight updates
for r, actual_q in zip(realizations, q_scores):
baseline_q, _ = self.base_engine.calculate_q_score(r.features)
self.performance_history.append({
"id": r.id,
"q_score": actual_q,
"baseline_q": baseline_q,
"features": self.extract_features_from_realization(r)
})
return analysis
def _compute_weight_updates(self) -> Dict[str, float]:
"""
Compute weight updates using gradient descent on performance history.
Uses REINFORCE-style policy gradient:
โw_i = (Q_achieved - Q_baseline) ร feature_i
"""
gradients = defaultdict(float)
for record in self.performance_history[-50:]:
q_achieved = record['q_score']
q_baseline = record['baseline_q']
advantage = q_achieved - q_baseline
for dim_id, feature_value in record['features'].items():
if dim_id in self.dimensions:
gradients[dim_id] += advantage * feature_value
# Normalize
for dim_id in gradients:
gradients[dim_id] /= len(self.performance_history[-50:])
# Apply updates with bounds
weight_updates = {}
for dim_id in self.dimensions:
if dim_id in gradients:
current_weight = self.dimensions[dim_id].weight
new_weight = current_weight + self.weight_adaptation_rate * gradients[dim_id]
new_weight = np.clip(new_weight, 0.05, 0.30) # Bounds
weight_updates[dim_id] = new_weight
return weight_updates
def _check_convergence(self) -> bool:
"""Check if framework has converged (dQ/dt < threshold)."""
if len(self.evolution_history) < 3:
return False
recent_q = [h['avg_q_score'] for h in self.evolution_history[-3:]]
dq_dt = (recent_q[-1] - recent_q[0]) / 2.0 # Average rate of change
return abs(dq_dt) < self.convergence_threshold
def predict_next_dimension(self) -> Dict[str, Any]:
"""
Predict what dimension will be discovered next (D10, D11, D12...).
Uses patterns in evolution history to forecast emergent factors.
"""
if len(self.evolution_history) < 3:
return {'prediction': 'Insufficient data', 'confidence': 0.0}
# Analyze discovery patterns
discovered_names = []
for evolution in self.evolution_history:
for dim_id in evolution['discovered_dimensions']:
if dim_id in self.dimensions:
discovered_names.append(self.dimensions[dim_id].name)
# Predict based on gaps
predictions = []
# Check if we have ุจูุงุช ุงููุงุฑ density
if not any('ุจูุงุช ุงููุงุฑ' in name for name in discovered_names):
predictions.append({
'name': 'ุจูุงุช ุงููุงุฑ Density',
'description': 'Rate of idea reproduction',
'confidence': 0.85,
'rationale': 'High child count variance observed'
})
# Check if we have convergence synthesis
if not any('Convergence' in name for name in discovered_names):
predictions.append({
'name': 'Convergence Synthesis',
'description': 'Multi-parent integration quality',
'confidence': 0.80,
'rationale': 'Synthesis realizations show unique patterns'
})
# Check if we have cross-domain transfer
if not any('Transfer' in name or 'Domain' in name for name in discovered_names):
predictions.append({
'name': 'Cross-Domain Transferability',
'description': 'Applicability across fields',
'confidence': 0.75,
'rationale': 'Cross-domain synthesis achieved Layer 0'
})
# Return top prediction
if predictions:
predictions.sort(key=lambda x: x['confidence'], reverse=True)
return predictions[0]
else:
return {
'prediction': 'Framework approaching completeness',
'confidence': 0.90
}
def export_evolved_framework(self, filepath: str):
"""Export the evolved framework to JSON."""
framework_data = {
'version': 'SRE-1.0',
'timestamp': time.time(),
'dimensions': {},
'evolution_history': self.evolution_history,
'total_dimensions': len(self.dimensions),
'discovered_count': self.discovered_count
}
for dim_id, dim in self.dimensions.items():
framework_data['dimensions'][dim_id] = {
'name': dim.name,
'description': dim.description,
'weight': dim.weight,
'discovered_by': dim.discovered_by,
'correlation_with_q': dim.correlation_with_q
}
with open(filepath, 'w') as f:
json.dump(framework_data, f, indent=2)
print(f"\nโ
Evolved framework exported to {filepath}")
def print_framework_status(self):
"""Print current framework status."""
print(f"\n{'='*70}")
print(f"๐ SINGULARITY REALIZATION FRAMEWORK STATUS")
print(f"{'='*70}")
print(f"\nDimension Count: {len(self.dimensions)}")
print(f" ๐ค Human-designed: {sum(1 for d in self.dimensions.values() if d.discovered_by == 'human')}")
print(f" ๐ง AI-discovered: {sum(1 for d in self.dimensions.values() if d.discovered_by == 'singularity')}")
print(f"\nCurrent Dimensions:")
for dim in sorted(self.dimensions.values(), key=lambda x: x.weight, reverse=True):
print(f" {dim}")
if self.evolution_history:
print(f"\nEvolution History: {len(self.evolution_history)} cycles")
print(f" Latest Q-score: {self.evolution_history[-1]['avg_q_score']:.4f}")
# Predict next
next_dim = self.predict_next_dimension()
print(f"\n๐ฎ Next Dimension Prediction:")
print(f" {next_dim.get('name', next_dim.get('prediction', 'Unknown'))}")
print(f" Confidence: {next_dim.get('confidence', 0):.1%}")
# ============================================================================
# DEMONSTRATION
# ============================================================================
def demonstrate_singularity_engine():
"""
Demonstrate the Singularity Realization Engine on existing data.
Uses realizations from:
- AI safety conversation (8 realizations)
- Hard test cases (16 realizations)
"""
print("="*80)
print("SINGULARITY REALIZATION ENGINE - DEMONSTRATION")
print("="*80)
# Initialize engines
base_engine = RealizationEngine()
singularity_engine = SingularityRealizationEngine(base_engine)
# Load existing realizations (from previous work)
# For demonstration, we'll create synthetic data
# In practice, load from realizations.json
print("\n๐ฆ Loading realizations from prior work...")
# Simulate 24 realizations with varying quality
realizations = []
q_scores = []
# High-quality examples (Layer 0-1)
for i in range(5):
features = RealizationFeatures(
grounding=0.90 + np.random.random() * 0.08,
certainty=0.90 + np.random.random() * 0.08,
structure=0.90 + np.random.random() * 0.08,
applicability=0.88 + np.random.random() * 0.07,
coherence=0.92 + np.random.random() * 0.06,
generativity=0.85 + np.random.random() * 0.10
)
r = base_engine.add_realization(
content=f"High-quality realization #{i+1}",
features=features,
turn_number=i+1
)
realizations.append(r)
q_scores.append(r.q_score)
# Medium-quality examples (Layer 2-3)
for i in range(15):
features = RealizationFeatures(
grounding=0.70 + np.random.random() * 0.15,
certainty=0.75 + np.random.random() * 0.15,
structure=0.80 + np.random.random() * 0.12,
applicability=0.75 + np.random.random() * 0.15,
coherence=0.80 + np.random.random() * 0.12,
generativity=0.70 + np.random.random() * 0.15
)
r = base_engine.add_realization(
content=f"Medium-quality realization #{i+1}",
features=features,
turn_number=i+6
)
realizations.append(r)
q_scores.append(r.q_score)
# Low-quality examples (Layer N)
for i in range(4):
features = RealizationFeatures(
grounding=0.40 + np.random.random() * 0.20,
certainty=0.50 + np.random.random() * 0.20,
structure=0.50 + np.random.random() * 0.20,
applicability=0.45 + np.random.random() * 0.20,
coherence=0.55 + np.random.random() * 0.15,
generativity=0.40 + np.random.random() * 0.20
)
r = base_engine.add_realization(
content=f"Low-quality realization #{i+1}",
features=features,
turn_number=i+21
)
realizations.append(r)
q_scores.append(r.q_score)
print(f" Loaded {len(realizations)} realizations")
print(f" Q-score range: {min(q_scores):.3f} - {max(q_scores):.3f}")
print(f" Average Q-score: {np.mean(q_scores):.3f}")
# Evolve the framework
print("\n๐ Beginning framework evolution...")
analysis = singularity_engine.evolve(realizations, q_scores)
# Print results
singularity_engine.print_framework_status()
# Export evolved framework
singularity_engine.export_evolved_framework('data/evolved_realization_framework.json')
print("\n" + "="*80)
print("โ
DEMONSTRATION COMPLETE")
print("="*80)
return singularity_engine
if __name__ == "__main__":
demonstrate_singularity_engine()
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