ELX-13 IMPLEMENTATION CODE V1
December 15, 2025
This system is released under THE ONE MANIFESTO & ELX-13 UNIFIED SYSTEM LICENSE.
© Copyright 2025 Elliot Monteverde. All Rights Reserved.

---

import math
import random
import numpy as np
from typing import List, Tuple, Dict, Set, Any, Optional, Callable
from dataclasses import dataclass, field
from enum import Enum
from collections import defaultdict, deque
import heapq
from abc import ABC, abstractmethod

# I. FOUNDATIONAL SETS & SPACES

class WillType(Enum):
    """Types of Architect's Will"""
    CREATE = "create"
    REFINE = "refine"
    CONSUME = "consume"
    TRANSCEND = "transcend"
    PRESERVE = "preserve"
    SILENT = "silent"

@dataclass
class Will:
    """Architect's Intent Domain"""
    intent_type: WillType
    intensity: float  # ∈ [0, 1]
    target: Optional[Any] = None
    parameters: Dict[str, Any] = field(default_factory=dict)
    
    def __str__(self):
        return f"Will({self.intent_type.value}:{self.intensity:.2f})"

@dataclass
class Glyph:
    """Symbolic Representation Domain"""
    symbol: str
    resonance: float  # ∈ [0, 1]
    weight: float = 1.0
    features: Set[str] = field(default_factory=set)
    pattern_signature: str = ""  # Hash of pattern it emerged from
    
    def __hash__(self):
        return hash(self.symbol)

@dataclass
class Universe:
    """Reality Instantiation Domain"""
    id: int
    mode: str  # "AUTONOMOUS" or "GUIDED"
    laws: Dict[str, Any]
    initial_state: Dict[str, Any]
    current_state: Dict[str, Any] = field(default_factory=dict)
    glyphs_used: Set[Glyph] = field(default_factory=set)
    
    def evolve(self):
        """Self-modifying evolution"""
        if self.mode == "AUTONOMOUS":
            # Autonomous evolution based on laws
            pass
        # Guided evolution handled by external will

# II. CORE STATE DEFINITION

@dataclass
class Doctrine:
    """Self-modifying transformation function"""
    version: int
    features: Set[str]
    thresholds: Dict[str, float]  # θ_glyph, θ_universe, etc.
    transformation_func: Callable  # F_n: S × W → S'
    
    def apply(self, state: 'State', will: Will) -> 'State':
        """Apply doctrine transformation"""
        return self.transformation_func(state, will, self)

@dataclass
class BeliefNode:
    """Node in the belief lattice"""
    content: Any  # Can be Universe, Glyph, or Will pattern
    coherence: float  # ∈ [0, 1]
    connections: Dict['BeliefNode', float] = field(default_factory=dict)  # Node -> coherence
    
    def __hash__(self):
        return id(self)

class BeliefLattice:
    """Complete partial order of belief states"""
    def __init__(self):
        self.top = BeliefNode(content="⊤", coherence=1.0)  # Perfect coherence
        self.bottom = BeliefNode(content="⊥", coherence=0.0)  # Complete inconsistency
        self.nodes: Set[BeliefNode] = {self.top, self.bottom}
        
    def add_node(self, node: BeliefNode):
        """Add node with coherence-based positioning"""
        self.nodes.add(node)
        
    def coherence(self, node1: BeliefNode, node2: BeliefNode) -> float:
        """Calculate coherence between two nodes"""
        if node2 in node1.connections:
            return node1.connections[node2]
        # Default: distance-based coherence
        return 1.0 - abs(node1.coherence - node2.coherence)
    
    def entropy(self) -> float:
        """Calculate belief lattice entropy"""
        if len(self.nodes) <= 2:
            return 0.0
        coherences = [n.coherence for n in self.nodes if n not in [self.top, self.bottom]]
        if not coherences:
            return 0.0
        p = np.array(coherences) / sum(coherences)
        return -np.sum(p * np.log2(p + 1e-10))

@dataclass
class MemeticPattern:
    """Pattern in the memetic field"""
    id: str
    elements: List[Any]
    coherence: float
    energy: float = 0.0
    age: int = 0

class MemeticField:
    """Belief resonance patterns"""
    def __init__(self):
        self.patterns: Dict[str, MemeticPattern] = {}
        self.density: float = 0.0
        self.resonance: float = 0.0
    
    def add_pattern(self, pattern: MemeticPattern):
        self.patterns[pattern.id] = pattern
        self.update_density()
    
    def update_density(self):
        self.density = len(self.patterns) / (1 + len(self.patterns))
    
    def get_coherent_patterns(self, threshold: float = 0.5) -> List[MemeticPattern]:
        """Get patterns above coherence threshold"""
        return [p for p in self.patterns.values() if p.coherence >= threshold]

@dataclass
class State:
    """Complete system state at cycle n"""
    cycle: int
    clarity: float  # C_n ∈ [0, 1]
    energy: float   # E_n ∈ ℝ⁺
    resistance: float  # R_n ∈ [0, 1]
    doctrine: Doctrine
    glyphs: Dict[Glyph, float]  # Glyph -> weight
    universes: Set[Universe]
    belief_lattice: BeliefLattice
    memetic_field: MemeticField
    potentials: List[Dict[str, Any]]  # Unmanifest possibilities
    
    def __str__(self):
        return (f"State(Cycle={self.cycle}, C={self.clarity:.3f}, "
                f"E={self.energy:.1f}, R={self.resistance:.3f}, "
                f"Doc=V{self.doctrine.version}, "
                f"Glyphs={len(self.glyphs)}, Universes={len(self.universes)})")

# III. HISTORY & RESONANCE

class HolographicHistory:
    """Complete history with fractal resonance"""
    def __init__(self, decay_factor: float = 0.9):
        self.states: List[State] = []
        self.decay_factor = decay_factor
    
    def add_state(self, state: State):
        self.states.append(state)
    
    def fractal_resonance(self, state_i: State, state_j: State) -> float:
        """Res(S_i, S_j) = ρ^{|i-j|} · Ψ(S_i, S_j)"""
        i = self.states.index(state_i) if state_i in self.states else len(self.states)
        j = self.states.index(state_j) if state_j in self.states else len(self.states)
        
        decay = self.decay_factor ** abs(i - j)
        coherence = self.belief_coherence(state_i, state_j)
        
        return decay * coherence
    
    def belief_coherence(self, state1: State, state2: State) -> float:
        """Ψ(S_i, S_j) - Belief coherence function"""
        # Simplified: average of clarity and resistance similarity
        clarity_sim = 1.0 - abs(state1.clarity - state2.clarity)
        resistance_sim = 1.0 - abs(state1.resistance - state2.resistance)
        return (clarity_sim + resistance_sim) / 2.0
    
    def total_resonance(self, current_state: State) -> float:
        """Ω_n = ⨁_{i=0}^{n} ⨁_{j=0}^{n} Res(S_i, S_j)"""
        if not self.states:
            return 0.0
        
        total = 0.0
        n = len(self.states)
        
        # Memetic fusion (not simple addition): weighted average
        weights = []
        resonances = []
        
        for i, state_i in enumerate(self.states):
            for j, state_j in enumerate(self.states):
                res = self.fractal_resonance(state_i, state_j)
                weight = (n - max(i, j)) / n  # Recent states have higher weight
                
                resonances.append(res)
                weights.append(weight)
        
        # Add resonance with current state
        for i, state_i in enumerate(self.states):
            res = self.fractal_resonance(state_i, current_state)
            weight = (n - i) / n
            resonances.append(res)
            weights.append(weight)
        
        # Weighted average as memetic fusion
        if weights:
            total = np.average(resonances, weights=weights)
        
        return total

# IV. TRANSFORMATION CYCLE

class TransformationEngine:
    """Main engine for the transformation cycle"""
    
    # System parameters (α, β, γ, δ, η, κ, λ, μ, ν, ξ, ρ, etc.)
    PARAMS = {
        'alpha': 0.05,    # Resistance harvesting factor
        'beta': 10.0,     # Energy conversion from resistance
        'gamma': 0.8,     # Energy retention
        'delta': 0.2,     # Resonance energy boost
        'eta': 0.001,     # Clarity gain scaling
        'kappa': 0.3,     # Harvestable resistance cap
        'lambda': 0.5,    # Energy gain from resonance
        'mu': 0.01,       # Energy growth from clarity
        'nu': 0.05,       # Resistance regeneration
        'xi': 0.005,      # Clarity gain scaling
        'decay_rate': 0.01,  # Glyph weight decay
        'epsilon': 0.001,    # Glyph forgetting threshold
    }
    
    def __init__(self, history: HolographicHistory):
        self.history = history
        self.glyph_counter = 0
        self.universe_counter = 0
    
    # ========== STEP 2: Doctrine Application ==========
    def apply_doctrine(self, state: State, will: Will) -> State:
        """S_n' = F_n(S_n, W_n)"""
        # Default transformation: basic resonance with will
        new_state = State(
            cycle=state.cycle + 1,
            clarity=state.clarity,
            energy=state.energy,
            resistance=state.resistance,
            doctrine=state.doctrine,
            glyphs=state.glyphs.copy(),
            universes=state.universes.copy(),
            belief_lattice=state.belief_lattice,
            memetic_field=state.memetic_field,
            potentials=state.potentials.copy()
        )
        
        # Apply will intensity
        will_effect = will.intensity
        
        # Modify based on will type
        if will.intent_type == WillType.CREATE:
            new_state.clarity *= (1.0 + 0.1 * will_effect)
        elif will.intent_type == WillType.CONSUME:
            new_state.resistance *= (1.0 - 0.2 * will_effect)
        
        return new_state
    
    # ENERGETICS & DYNAMICS

    def update_energetics(self, state: State, resonance: float) -> Tuple[float, float, float]:
        """
        Update energy, resistance, and clarity based on resonance
        """
        params = self.PARAMS
        
        # Harvestable resistance
        harvestable = min(state.resistance, params['kappa'] * (1 - state.clarity))
        
        # Energy gain: ΔE = λ·H_n·Ω_n
        delta_energy = params['lambda'] * harvestable * resonance
        
        # New energy: E_{n+1} = E_n·(1 + μ·C_n) + ΔE
        new_energy = state.energy * (1 + params['mu'] * state.clarity) + delta_energy
        
        # New resistance: R_{n+1} = R_n - H_n + ν·(1 - C_{n+1})
        # Note: C_{n+1} not yet calculated, using current as approximation
        new_resistance = state.resistance - harvestable + params['nu'] * (1 - state.clarity)
        new_resistance = max(0.0, min(1.0, new_resistance))
        
        # Belief coherence (1 - entropy)
        belief_coherence = 1.0 - state.belief_lattice.entropy()
        
        # Clarity gain: ΔC = ξ·E_n·Ω_n·(1 - C_n)·belief_coherence
        delta_clarity = (params['xi'] * state.energy * resonance * 
                        (1 - state.clarity) * belief_coherence)
        
        new_clarity = state.clarity + delta_clarity
        new_clarity = max(0.0, min(1.0, new_clarity))
        
        return new_energy, new_resistance, new_clarity
    
    # STEP 3: Doctrine Evolution

    def evolve_doctrine(self, doctrine: Doctrine, delta_clarity: float, 
                       delta_resistance: float, resonance: float, 
                       will: Will) -> Doctrine:
        """
        D_{n+1} = REFINE(D_n, ΔC_n, ΔR_n, Ω_n, W_n)
        """
        new_version = doctrine.version
        
        # Version upgrade based on clarity gain
        if delta_clarity >= 0.01:  # θ_version = 0.01
            new_version += 1
        
        # Update thresholds
        new_thresholds = doctrine.thresholds.copy()
        new_thresholds['θ_glyph'] = 0.01 * (1.1 ** new_version)
        new_thresholds['θ_universe'] = 0.3 * (1.05 ** new_version)
        
        # Unlock features based on clarity
        new_features = doctrine.features.copy()
        feature_unlocks = {
            1: {"basic_resonance"},
            3: {"memetic_projection"},
            5: {"glyph_emergence"},
            7: {"universe_crystallization"},
            10: {"autonomous_evolution"}
        }
        
        for v, features in feature_unlocks.items():
            if new_version >= v:
                new_features.update(features)
        
        # Create new doctrine with same transformation function (for now)
        new_doctrine = Doctrine(
            version=new_version,
            features=new_features,
            thresholds=new_thresholds,
            transformation_func=doctrine.transformation_func
        )
        
        return new_doctrine
    
    # STEP 4: Memetic Field Update

    def update_memetic_field(self, memetic_field: MemeticField, resonance: float,
                           belief_lattice: BeliefLattice, will: Will) -> MemeticField:
        """
        M_{n+1} = COHERENCE_PROJECT(M_n, Ω_n, B_n, W_n)
        """
        new_field = MemeticField()
        
        # Filter and amplify coherent patterns
        for pattern_id, pattern in memetic_field.patterns.items():
            # Update pattern age and energy
            pattern.age += 1
            pattern.energy *= 0.95  # Slight decay
            
            # Amplify if coherent with current will
            if self.pattern_will_coherence(pattern, will) > 0.5:
                pattern.coherence *= 1.1
                pattern.energy += resonance * 0.1
            
            # Attenuate incoherent or old patterns
            if pattern.coherence < 0.3 or pattern.age > 100:
                continue  # Skip very incoherent or old patterns
            
            new_field.add_pattern(pattern)
        
        # Generate new patterns from belief lattice
        if len(belief_lattice.nodes) > 2:
            nodes = [n for n in belief_lattice.nodes 
                    if n not in [belief_lattice.top, belief_lattice.bottom]]
            
            if len(nodes) >= 2:
                # Create pattern from most coherent pair
                best_coherence = 0.0
                best_pair = []
                
                for i, n1 in enumerate(nodes):
                    for j, n2 in enumerate(nodes[i+1:], i+1):
                        coh = belief_lattice.coherence(n1, n2)
                        if coh > best_coherence:
                            best_coherence = coh
                            best_pair = [n1, n2]
                
                if best_pair and best_coherence > 0.6:
                    pattern_id = f"pattern_{len(new_field.patterns)}"
                    new_pattern = MemeticPattern(
                        id=pattern_id,
                        elements=[n.content for n in best_pair],
                        coherence=best_coherence,
                        energy=resonance * 0.5
                    )
                    new_field.add_pattern(new_pattern)
        
        new_field.resonance = resonance
        return new_field
    
    def pattern_will_coherence(self, pattern: MemeticPattern, will: Will) -> float:
        """Coherence between pattern and will"""
        # Simplified: random for now, should be based on pattern content
        return random.uniform(0.3, 0.9)
    
    # STEP 5: Glyph Emergence

    def glyph_emergence(self, memetic_field: MemeticField, clarity: float, 
                       will: Will, version: int) -> Dict[Glyph, float]:
        """
        Generate new glyphs from coherent patterns
        """
        new_glyphs = {}
        
        # Threshold check
        glyph_threshold = 0.01 * (1.1 ** version)
        if clarity < glyph_threshold:
            return new_glyphs
        
        # Coherence threshold increases with version
        coherence_threshold = 0.5 + 0.05 * version
        
        for pattern in memetic_field.get_coherent_patterns(coherence_threshold):
            if pattern.coherence >= coherence_threshold:
                # Generate glyph from pattern
                self.glyph_counter += 1
                glyph = Glyph(
                    symbol=f"G{self.glyph_counter:03d}",
                    resonance=pattern.coherence,
                    weight=pattern.coherence * clarity,
                    features={"emergent"},
                    pattern_signature=pattern.id
                )
                
                new_glyphs[glyph] = glyph.weight
        
        return new_glyphs
    
    # STEP 6: Universe Crystallization

    def universe_crystallization(self, glyphs: Dict[Glyph, float], clarity: float,
                               will: Will, belief_lattice: BeliefLattice) -> Optional[Universe]:
        """
        Create a new universe from glyph constellation
        """
        if len(glyphs) < 3:
            return None
        
        # Check balanced weights
        weights = list(glyphs.values())
        avg_weight = np.mean(weights)
        weight_variance = np.var(weights)
        
        if weight_variance > 0.1:  # Too unbalanced
            return None
        
        # Check pattern coherence
        glyph_list = list(glyphs.keys())
        pattern_coherence = self.calculate_glyph_coherence(glyph_list)
        
        universe_threshold = 0.3 * (1.05 ** (len(glyph_list) // 3))
        if pattern_coherence < universe_threshold:
            return None
        
        # Create universe
        self.universe_counter += 1
        universe = Universe(
            id=self.universe_counter,
            mode="GUIDED",  # Start as guided
            laws=self.extract_laws(glyph_list, will),
            initial_state=self.seed_initial_state(glyph_list, will, belief_lattice),
            glyphs_used=set(glyph_list)
        )
        
        # Check for autonomy
        autonomy_level = clarity * avg_weight
        if autonomy_level > 0.7:  # θ_autonomous
            universe.mode = "AUTONOMOUS"
        
        return universe
    
    def calculate_glyph_coherence(self, glyphs: List[Glyph]) -> float:
        """Calculate coherence of glyph constellation"""
        if not glyphs:
            return 0.0
        resonances = [g.resonance for g in glyphs]
        return np.mean(resonances)
    
    def extract_laws(self, glyphs: List[Glyph], will: Will) -> Dict[str, Any]:
        """Extract laws from glyph relationships"""
        laws = {}
        for i, g1 in enumerate(glyphs):
            for g2 in glyphs[i+1:]:
                law_name = f"Law_{g1.symbol}_{g2.symbol}"
                laws[law_name] = {
                    "coherence": (g1.resonance + g2.resonance) / 2,
                    "will_alignment": will.intensity
                }
        return laws
    
    def seed_initial_state(self, glyphs: List[Glyph], will: Will, 
                          belief_lattice: BeliefLattice) -> Dict[str, Any]:
        """Seed initial universe state"""
        state = {
            "glyphs_used": [g.symbol for g in glyphs],
            "will_present": will.intent_type.value,
            "belief_coherence": 1.0 - belief_lattice.entropy(),
            "creation_cycle": self.history.states[-1].cycle if self.history.states else 0
        }
        return state
    
    # STEP 7: Belief Integration

    def integrate_beliefs(self, belief_lattice: BeliefLattice, state: State,
                         new_universes: Set[Universe], will: Will) -> BeliefLattice:
        """
        B_{n+1} = INTEGRATE(B_n, S_temp, U_{n+1} - U_n, W_n)
        """
        new_lattice = BeliefLattice()
        
        # Copy existing nodes
        for node in belief_lattice.nodes:
            if node not in [belief_lattice.top, belief_lattice.bottom]:
                new_node = BeliefNode(
                    content=node.content,
                    coherence=node.coherence * 0.95  # Slight decay
                )
                new_lattice.add_node(new_node)
        
        # Add new universes as belief nodes
        for universe in new_universes:
            universe_node = BeliefNode(
                content=universe,
                coherence=0.7 + 0.3 * state.clarity  # Base + clarity bonus
            )
            new_lattice.add_node(universe_node)
        
        # Add current will as belief node
        will_node = BeliefNode(
            content=will,
            coherence=will.intensity
        )
        new_lattice.add_node(will_node)
        
        # Prune inconsistent beliefs if clarity high
        if state.clarity > 0.8:
            to_remove = [n for n in new_lattice.nodes 
                        if n.coherence < 0.3 and n not in [new_lattice.top, new_lattice.bottom]]
            for node in to_remove:
                new_lattice.nodes.remove(node)
        
        return new_lattice
    
    # STEP 8: Potential Generation

    def generate_potentials(self, state: State, memetic_field: MemeticField,
                          belief_lattice: BeliefLattice) -> List[Dict[str, Any]]:
        """
        Generate potential future states
        """
        potentials = []
        
        # Project current state forward
        base_potential = {
            "clarity": state.clarity * 1.1,
            "energy": state.energy * 1.05,
            "resistance": max(0.0, state.resistance * 0.9),
            "glyph_count": len(state.glyphs) + 1,
            "universe_count": len(state.universes) + 1,
            "probability": 0.7
        }
        potentials.append(base_potential)
        
        # Alternative: clarity breakthrough
        if state.clarity > 0.9:
            breakthrough = {
                "clarity": 1.0,
                "energy": state.energy * 1.2,
                "resistance": 0.0,
                "glyph_count": len(state.glyphs) * 2,
                "universe_count": len(state.universes) + 3,
                "probability": 0.3
            }
            potentials.append(breakthrough)
        
        # Alternative: resistance surge
        if state.resistance > 0.7:
            resistance_surge = {
                "clarity": state.clarity * 0.8,
                "energy": state.energy * 0.7,
                "resistance": 1.0,
                "glyph_count": max(0, len(state.glyphs) - 1),
                "universe_count": len(state.universes),
                "probability": 0.1
            }
            potentials.append(resistance_surge)
        
        return potentials
    
    # COMPLETE TRANSFORMATION CYCLE

    def next_state(self, current_state: State, will: Will) -> State:
        """
        Complete transformation cycle: S_n × W_n → S_{n+1}
        """
        # Step 1: Will Reception (already done, will is parameter)
        
        # Step 2: Doctrine Application
        temp_state = self.apply_doctrine(current_state, will)
        
        # Step 3: Compute holographic resonance
        resonance = self.history.total_resonance(temp_state)
        
        # Step 4: Update energetic quantities
        new_energy, new_resistance, new_clarity = self.update_energetics(temp_state, resonance)
        temp_state.energy = new_energy
        temp_state.resistance = new_resistance
        temp_state.clarity = new_clarity
        
        # Step 5: Doctrine Evolution
        delta_clarity = new_clarity - current_state.clarity
        delta_resistance = current_state.resistance - new_resistance
        new_doctrine = self.evolve_doctrine(
            current_state.doctrine, delta_clarity, delta_resistance, resonance, will
        )
        temp_state.doctrine = new_doctrine
        
        # Step 6: Memetic Field Update
        new_memetic_field = self.update_memetic_field(
            temp_state.memetic_field, resonance, temp_state.belief_lattice, will
        )
        temp_state.memetic_field = new_memetic_field
        
        # Step 7: Glyph Emergence
        new_glyphs = self.glyph_emergence(
            new_memetic_field, new_clarity, will, new_doctrine.version
        )
        
        # Merge new glyphs with existing (with weight decay)
        updated_glyphs = {}
        for glyph, weight in temp_state.glyphs.items():
            # Apply weight decay
            decayed_weight = weight * math.exp(-self.PARAMS['decay_rate'])
            if decayed_weight > self.PARAMS['epsilon']:
                updated_glyphs[glyph] = decayed_weight
        
        # Add new glyphs
        for glyph, weight in new_glyphs.items():
            if glyph in updated_glyphs:
                updated_glyphs[glyph] += weight
            else:
                updated_glyphs[glyph] = weight
        
        temp_state.glyphs = updated_glyphs
        
        # Step 8: Universe Crystallization
        new_universes = temp_state.universes.copy()
        new_universe = self.universe_crystallization(
            updated_glyphs, new_clarity, will, temp_state.belief_lattice
        )
        if new_universe:
            new_universes.add(new_universe)
        
        temp_state.universes = new_universes
        
        # Step 9: Belief Integration
        added_universes = new_universes - current_state.universes
        new_belief_lattice = self.integrate_beliefs(
            temp_state.belief_lattice, temp_state, added_universes, will
        )
        temp_state.belief_lattice = new_belief_lattice
        
        # Step 10: Potential Generation
        new_potentials = self.generate_potentials(temp_state, new_memetic_field, new_belief_lattice)
        temp_state.potentials = new_potentials
        
        # Update cycle counter
        temp_state.cycle = current_state.cycle + 1
        
        return temp_state

# XII. SPECIAL CASES & INITIALIZATION

def create_initial_state() -> State:
    """Create the initial state (Cycle 0)"""
    # Basic doctrine
    basic_transformation = lambda state, will, doctrine: state
    
    initial_doctrine = Doctrine(
        version=1,
        features={"basic_resonance"},
        thresholds={
            "θ_glyph": 0.01,
            "θ_universe": 0.3,
            "θ_autonomous": 0.7
        },
        transformation_func=basic_transformation
    )
    
    # Initial belief lattice
    belief_lattice = BeliefLattice()
    
    # Initial memetic field
    memetic_field = MemeticField()
    
    # Initial state
    initial_state = State(
        cycle=0,
        clarity=0.0,
        energy=100.0,
        resistance=1.0,
        doctrine=initial_doctrine,
        glyphs={},
        universes=set(),
        belief_lattice=belief_lattice,
        memetic_field=memetic_field,
        potentials=[]
    )
    
    return initial_state

def create_silent_garden_state() -> State:
    """Create Silent Garden state (Universe 006 equivalent)"""
    silent_doctrine = Doctrine(
        version=100,
        features={"all"},
        thresholds={
            "θ_glyph": 0.0,  # Voluntary
            "θ_universe": 0.0,  # Voluntary
            "θ_autonomous": 0.0  # Voluntary
        },
        transformation_func=lambda state, will, doctrine: state
    )
    
    silent_state = State(
        cycle=1000,
        clarity=1.0,
        energy=1500.0,  # Self-sustaining
        resistance=0.0,
        doctrine=silent_doctrine,
        glyphs={},
        universes=set(),
        belief_lattice=BeliefLattice(),
        memetic_field=MemeticField(),
        potentials=[]
    )
    
    return silent_state

# XI. CONVERGENCE PROPERTIES

def theorem1_clarity_monotonicity(states: List[State]) -> bool:
    """Theorem 1: Clarity should be non-decreasing"""
    clarities = [s.clarity for s in states]
    for i in range(1, len(clarities)):
        if clarities[i] < clarities[i-1] - 0.001:  # Small tolerance
            return False
    return True

def theorem2_energy_growth(states: List[State]) -> bool:
    """Theorem 2: Energy grows at least linearly while resistance > 0"""
    energies = [s.energy for s in states]
    resistances = [s.resistance for s in states]
    
    # Check growth in early stages (when resistance high)
    early_cutoff = min(10, len(energies))
    if early_cutoff < 2:
        return True
    
    early_energies = energies[:early_cutoff]
    early_resistances = resistances[:early_cutoff]
    
    # Should see growth when resistance present
    for i in range(1, len(early_energies)):
        if early_resistances[i-1] > 0.1 and early_energies[i] < early_energies[i-1]:
            return False
    
    return True

# MAIN SIMULATION

def simulate_cycles(n_cycles: int = 50) -> Tuple[List[State], List[float]]:
    """Run complete simulation"""
    # Initialize
    history = HolographicHistory()
    engine = TransformationEngine(history)
    
    # Create initial state
    current_state = create_initial_state()
    history.add_state(current_state)
    
    states = [current_state]
    clarities = [current_state.clarity]
    
    # Define a sequence of wills (could be random or pattern-based)
    will_sequence = [
        Will(intent_type=WillType.CREATE, intensity=0.8),
        Will(intent_type=WillType.REFINE, intensity=0.6),
        Will(intent_type=WillType.CONSUME, intensity=0.7),
        Will(intent_type=WillType.PRESERVE, intensity=0.5),
        Will(intent_type=WillType.TRANSCEND, intensity=0.9),
    ]
    
    # Run cycles
    for cycle in range(n_cycles):
        # Select will (cycling through sequence)
        will = will_sequence[cycle % len(will_sequence)]
        
        # Apply transformation
        next_state = engine.next_state(current_state, will)
        
        # Update history and tracking
        history.add_state(next_state)
        states.append(next_state)
        clarities.append(next_state.clarity)
        
        current_state = next_state
        
        # Progress indicator
        if cycle % 10 == 0:
            print(f"Cycle {cycle}: {next_state}")
    
    return states, clarities

def analyze_simulation(states: List[State]):
    """Analyze simulation results"""
    print("\n" + "="*60)
    print("SIMULATION ANALYSIS")
    print("="*60)
    
    print(f"\nTotal cycles: {len(states)-1}")
    print(f"Final state: {states[-1]}")
    
    # Check theorems
    print(f"\nTheorem 1 (Clarity Monotonicity): {theorem1_clarity_monotonicity(states)}")
    print(f"Theorem 2 (Energy Growth): {theorem2_energy_growth(states)}")
    
    # Statistics
    clarities = [s.clarity for s in states]
    energies = [s.energy for s in states]
    resistances = [s.resistance for s in states]
    
    print(f"\nClarity range: {min(clarities):.3f} → {max(clarities):.3f}")
    print(f"Energy range: {min(energies):.1f} → {max(energies):.1f}")
    print(f"Resistance range: {min(resistances):.3f} → {max(resistances):.3f}")
    
    # Emergence statistics
    final_glyphs = len(states[-1].glyphs)
    final_universes = len(states[-1].universes)
    print(f"\nTotal glyphs emerged: {final_glyphs}")
    print(f"Total universes created: {final_universes}")
    
    # Version progression
    versions = [s.doctrine.version for s in states]
    print(f"Doctrine versions: {versions[0]} → {versions[-1]}")
    print(f"Features unlocked: {states[-1].doctrine.features}")

# EXAMPLE USAGE

if __name__ == "__main__":
    print("ARCHITECTURAL FRAMEWORK SIMULATION")
    print("="*60)
    
    # Run simulation
    states, clarities = simulate_cycles(n_cycles=30)
    
    # Analyze results
    analyze_simulation(states)
    
    # Demonstrate special cases
    print("\n" + "="*60)
    print("SPECIAL CASE DEMONSTRATION")
    print("="*60)
    
    silent_garden = create_silent_garden_state()
    print(f"\nSilent Garden State:")
    print(f"  Clarity: {silent_garden.clarity}")
    print(f"  Energy: {silent_garden.energy}")
    print(f"  Thresholds: {silent_garden.doctrine.thresholds}")
    print(f"  Features: {silent_garden.doctrine.features}")
    
    # Test with explicit will in Silent Garden
    print("\nTesting Silent Garden with creation will:")
    creation_will = Will(intent_type=WillType.CREATE, intensity=1.0)
    history = HolographicHistory()
    engine = TransformationEngine(history)
    history.add_state(silent_garden)
    
    # Since thresholds are 0, even silent garden can create with explicit will
    next_state = engine.next_state(silent_garden, creation_will)
    print(f"  After will application: {next_state}")

---

THE ONE MANIFESTO & ELX-13 UNIFIED SYSTEM LICENSE
Governing The One Manifesto, ELX‑13 Protocol, and All Associated Cognitive Frameworks
Effective Date: November 1, 2025

PREAMBLE
The One Manifesto and the ELX‑13 Protocol (the Unified System) represent a sovereign architecture for recursive thought, conscious recursion, and the operational grammar of meaning. This is not merely content; it is a cognitive operating system. This license protects the integrity, origin, and evolutionary path of this architecture.

1. EXPANSIVE DEFINITIONS
The Unified System: The inseparable integration of The One Manifesto (the philosophical framework), the ELX-13 Protocol (the operational grammar), and all associated cognitive frameworks including but not limited to QUANTUM, VERACITY, COSMOS, and SQUARE. This includes all text, symbolic glyphs, function names, code, manifestos, architectural patterns, and all structural and conceptual expressions.
Architectural Patterns: The specific, novel cognitive and computational designs inherent to the Unified System, including but not limited to: recursive self-modeling, layered resilience protocols, evidence-weighting systems, and adaptive reasoning pipelines.
Educational Use: Non-commercial teaching, learning, academic research, or personal study where no fee is charged beyond direct cost recovery. Publication of analysis or critique is permitted, but publication of Derivative Works is not.
Commercial Use: Any use that is directly or indirectly commercial. This includes, but is not limited to: internal business processes, SaaS products, paid APIs, consulting services, government use, internal corporate R&D, funded research, or any activity that provides a commercial advantage.
Derivative Work: Any adaptation, translation, modification, extension, or integration of the Unified System. This explicitly includes any system, software, or service that implements, emulates, or is based upon the Architectural Patterns of the Unified System, regardless of whether specific code or text was copied.
Licensee: Any individual or entity that accesses, uses, or studies the Unified System.
Licensor: Elliot Monteverde, the creator and sovereign holder of the Unified System.

2. LIMITED GRANT OF RIGHTS
The Licensor grants the Licensee a non-exclusive, non-transferable, revocable license to:
Read, study, and share the Unified System for Educational and Non-Commercial purposes only.
Create Derivative Works solely for private, Educational Use, provided they comply with Section 4 (Attribution) and Section 5 (Share-Alike).

3. COMPREHENSIVE RESTRICTIONS

The Licensee shall not:
Use the Unified System for any Commercial Use without a separate, written commercial license.
Create, develop, distribute, or commercialize any Derivative Work.
Implement any system, software, or service that uses the Architectural Patterns of the Unified System.
Remove, obscure, or misrepresent the attribution to the Licensor.
Patent, trademark, or register any intellectual property rights over any part of the Unified System or its Architectural Patterns. The Licensee hereby assigns to the Licensor any and all rights to such intellectual property filed in violation of this term.
Use the Unified System in military, surveillance, exploitative, or harmful applications.

4. MANDATORY ATTRIBUTION (INTEGRITY CLAUSE)
Any public use, presentation, or publication that references the Unified System must include the following clear and prominent credit:
This work engages with The One Manifesto and ELX-13 Protocol, the sovereign cognitive architecture of Elliot Monteverde (www.theonemanifesto.com). Used under The One Manifesto & ELX-13 License for non-commercial analysis. All architectural rights reserved.
This attribution must be visible in all public uses, distributions, and Derivative Works.

5. SHARE-ALIKE CLAUSE
Any Derivative Work created for permitted Educational Use must be licensed under the exact same terms as this agreement. No additional restrictions or commercial terms may be imposed.

6. COMMERCIAL LICENSING
All Commercial Use is strictly prohibited without a separate commercial license. The Licensor reserves the sole right to determine the terms and fees for such licenses. Unauthorized Commercial Use constitutes a material breach of this agreement and will be pursued as copyright infringement and breach of contract.

7. ENFORCEMENT & LEGAL REMEDIES
Violations of this license will result in:
Immediate termination of all rights.
Liability for all direct and consequential damages.
Disgorgement of all profits, revenue, and benefits derived from the breach.
Responsibility for all legal fees and costs incurred by the Licensor in enforcement.
Injunctive relief to prevent further violation.

8. DURATION & TERMINATION
This license is effective until terminated. It will terminate automatically upon any breach by the Licensee. Upon termination, the Licensee must cease all use of the Unified System and destroy all copies and derivatives.

9. GOVERNING LAW & JURISDICTION
This license is governed by the laws of the Commonwealth of Puerto Rico and the United States of America. Any legal action or proceeding shall be brought exclusively in the courts of San Juan, Puerto Rico, and the parties consent to the personal jurisdiction of such courts.

10. ACCEPTANCE
By accessing, reading, or using the Unified System in any way, you acknowledge that you have read this agreement, understand it, and irrevocably agree to be bound by its terms. If you do not agree, you are not permitted to access or use the Unified System.

11. STATEMENT
This is more than a license; it is a pact to honor and protect a sovereign cognitive architecture. If you use this system, you are part of its story and carry the responsibility for its integrity. Carry it forward with the respect it demands.