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# LQG Volume Quantization Controller Configuration

# ==============================================

# Physical Constants

physics:

planck_length: 1.616e-35 # m

planck_time: 5.391e-44 # s

planck_mass: 2.176e-8 # kg

immirzi_gamma: 0.2375 # Barbero-Immirzi parameter

hbar: 1.055e-34 # Reduced Planck constant

# SU(2) Representation Parameters

su2:

min_j: 0.5 # Minimum SU(2) representation

max_j: 10.0 # Maximum SU(2) representation

precision: 1.0e-12 # Numerical precision for j optimization

scheme: "analytical" # Options: analytical, closed_form, generating_functional, asymptotic

cache_enabled: true # Enable computation caching

cache_size: 1000 # Maximum cache size

# Volume Quantization Parameters

volume_quantization:

mode: "production" # Options: standard, enhanced, production, validation

tolerance: 1.0e-15 # Volume computation tolerance

max_patches: 10000 # Maximum number of active patches

patch_lifetime: 1.0e-40 # Maximum patch lifetime (s)

# Uncertainty Quantification

uncertainty:

base_uncertainty: 1.0e-45 # Base volume uncertainty (m³)

scale_adaptation_factor: 0.1 # Scale adaptation coefficient

enable_adaptive_bounds: true # Enable scale-adaptive uncertainty bounds

# Constraint Monitoring

constraints:

monitoring_enabled: true # Enable real-time constraint monitoring

violation_threshold: 1.0e-6 # Constraint violation threshold

runtime_checks: true # Enable runtime algebra checks

# Polymer Quantization

polymer:

scheme: "production" # Options: standard, improved, sinc_enhanced, production

mu_optimal: 0.7 # Optimal polymer scale parameter

enhancement_factor: 2.42e10 # 24.2 billion× enhancement

sinc_correction: true # Enable sinc(πμ) correction

holonomy_correction: true # Enable sin(μδ)/δ corrections

# LQG Integration

lqg_integration:

unified_lqg_enabled: true # Enable unified-lqg integration

unified_lqg_qft_enabled: true # Enable unified-lqg-qft integration

polymer_field_enabled: true # Enable lqg-polymer-field-generator integration

fallback_mode: "analytical" # Fallback computation mode

# Performance Settings

performance:

parallel_processing: true # Enable parallel processing where possible

optimization_level: 2 # Optimization level (0-3)

memory_limit_mb: 1000 # Memory limit in MB

computation_timeout: 30.0 # Computation timeout in seconds

# Logging Configuration

logging:

level: "INFO" # Options: DEBUG, INFO, WARNING, ERROR, CRITICAL

format: "%(asctime)s - %(name)s - %(levelname)s - %(message)s"

file_enabled: true # Enable logging to file

file_path: "lqg_volume_quantization.log"

console_enabled: true # Enable console logging

# Validation Settings

validation:

comprehensive_checks: true # Enable comprehensive validation

numerical_stability_tests: true # Enable numerical stability testing

integration_tests: true # Enable integration testing

performance_benchmarks: true # Enable performance benchmarking

# Production Settings

production:

safety_checks: true # Enable production safety checks

error_recovery: true # Enable automatic error recovery

monitoring_interval: 1.0 # Monitoring interval in seconds

backup_enabled: true # Enable automatic state backup

backup_interval: 300.0 # Backup interval in seconds

# Visualization Settings

visualization:

plotting_enabled: true # Enable plotting capabilities

figure_size: [12, 8] # Default figure size

dpi: 300 # Plot resolution

save_format: "png" # Save format: png, pdf, svg

colormap: "viridis" # Default colormap

# Testing Configuration

testing:

unit_tests: true # Enable unit tests

integration_tests: true # Enable integration tests

performance_tests: true # Enable performance tests

stress_tests: false # Enable stress tests (resource intensive)

test_data_path: "test_data/" # Path for test data files