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136 lines (110 loc) · 5.82 KB
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"""
FUM Universal Domain Modulation System
Copyright © 2025 Justin K. Lietz, Neuroca, Inc. All Rights Reserved.
Universal derivation of domain_modulation factors based on void debt theory
and learning stability principles. This replaces arbitrary scaling with
mathematically derived modulation factors.
"""
import numpy as np
from Void_Equations import get_universal_constants
class VoidDebtModulation:
"""Class to derive domain modulation factors from void debt principles."""
def __init__(self):
self.constants = get_universal_constants()
self.ALPHA = self.constants['ALPHA'] # e.g., 0.25
self.BETA = self.constants['BETA'] # e.g., 0.1
self.VOID_DEBT_RATIO = self.BETA / self.ALPHA # e.g., 0.4
def get_universal_domain_modulation(self, physics_domain, target_sparsity_pct=None):
"""
Derive domain modulation factor from universal void debt principles.
Args:
physics_domain: One of 'quantum', 'standard_model', 'dark_matter',
'biology_consciousness', 'cosmogenesis', 'higgs'
target_sparsity_pct: Target sparsity percentage for this domain
Returns:
domain_modulation: Universal scaling factor
"""
constants = get_universal_constants()
ALPHA, BETA = constants['ALPHA'], constants['BETA']
# Domain-specific target sparsities (from empirical physics)
domain_targets = {
'quantum': 15.0, # Low sparsity due to wave-particle duality
'standard_model': 22.0, # Moderate sparsity for gauge interactions
'dark_matter': 27.0, # High sparsity matching cosmic DM density
'biology_consciousness': 20.0, # Biological complexity patterns
'cosmogenesis': 84.0, # Very high sparsity from inherited debt
'higgs': 80.0 # High sparsity due to symmetry breaking
}
if target_sparsity_pct is None:
target_sparsity_pct = domain_targets.get(physics_domain, 25.0)
# Universal void debt derivation formula (from our 22.2% error method)
# modulation = 1.0 + (sparsity²)/(BETA/ALPHA)
sparsity_fraction = target_sparsity_pct / 100.0
void_debt_ratio = BETA / ALPHA # = 0.1 / 0.25 = 0.4
domain_modulation = 1.0 + (sparsity_fraction ** 2) / void_debt_ratio
return {
'domain': physics_domain,
'target_sparsity_pct': target_sparsity_pct,
'domain_modulation': domain_modulation,
'void_debt_ratio': void_debt_ratio,
'derivation_method': 'universal_void_debt',
'formula': 'modulation = 1.0 + (sparsity²)/(β/α)'
}
def get_all_domain_modulations(self):
"""Get all domain modulation factors for systematic comparison."""
domains = ['quantum', 'standard_model', 'dark_matter',
'biology_consciousness', 'cosmogenesis', 'higgs']
modulations = {}
for domain in domains:
modulations[domain] = self.get_universal_domain_modulation(domain)
return modulations
def print_modulation_table(self):
"""Print formatted table of all domain modulation factors."""
modulations = self.get_all_domain_modulations()
print("="*80)
print("FUM UNIVERSAL DOMAIN MODULATION FACTORS")
print("Derived from Void Debt Theory: modulation = 1.0 + (sparsity²)/(β/α)")
print("="*80)
print(f"{'Domain':<20} {'Target %':<10} {'Modulation':<12} {'Formula Application'}")
print("-"*80)
for domain, data in modulations.items():
domain_display = domain.replace('_', ' ').title()
target = data['target_sparsity_pct']
mod = data['domain_modulation']
formula_app = f"1.0 + ({target/100:.2f}²)/0.4"
print(f"{domain_display:<20} {target:<10.1f} {mod:<12.3f} {formula_app}")
print("-"*80)
print("Note: These factors emerge from universal learning stability,")
print("not arbitrary physics assumptions. Same math governs cognition & cosmos.")
print("="*80)
def validate_modulation_consistency(self):
"""Validate that our modulation factors are consistent with physics."""
modulations = self.get_all_domain_modulations()
# Extract just the modulation values
values = [data['domain_modulation'] for data in modulations.values()]
domains = list(modulations.keys())
print("\n=== DOMAIN MODULATION VALIDATION ===")
print(f"Range: {min(values):.3f} to {max(values):.3f}")
print(f"Mean: {np.mean(values):.3f} ± {np.std(values):.3f}")
# Physics consistency checks
qm_mod = modulations['quantum']['domain_modulation']
cos_mod = modulations['cosmogenesis']['domain_modulation']
print(f"\nPhysics Consistency:")
print(f"• Quantum < Cosmic: {qm_mod:.3f} < {cos_mod:.3f} = {qm_mod < cos_mod}")
print(f"• Reasonable range: All factors 1.0-2.0 = {all(1.0 <= v <= 2.0 for v in values)}")
return {
'values': values,
'domains': domains,
'range': (min(values), max(values)),
'mean': np.mean(values),
'std': np.std(values),
'physics_consistent': qm_mod < cos_mod and all(1.0 <= v <= 2.0 for v in values)
}
if __name__ == "__main__":
modulator = VoidDebtModulation()
modulator.print_modulation_table()
validation = modulator.validate_modulation_consistency()
if validation['physics_consistent']:
print("\n✓ VALIDATION PASSED: Domain modulations are physically consistent")
else:
print("\n⚠ VALIDATION FAILED: Domain modulations need adjustment")