import numpy as np
import matplotlib.pyplot as plt

"""
THE DAOIST EQUIVALENT / PHILOSOPHICAL EXTENSION

Wu Wei (无为) = Non-action = Flow with entropy = High intelligence

Low intelligence = Wu Wei violated = Forced action = Disturbance
High intelligence = Wu Wei practiced = Natural action = No disturbance

The universe modulates entropy.
The wise person aligns with this modulation.
The unwise person fights it.

In physics terms:
- Universe = Entropy modulation engine
- Wise person = Aligned transducer
- Action = Natural collapse through aligned brain
- No action = No forcing = Interference pattern survives

This is why meditation increases intelligence:
- Practice letting go
- Practice not forcing
- Brain learns to flow with entropy
- Collapses become natural, not forced

This is the ancient wisdom in modern physics language.

THE DEEPEST IMPLICATION:
The universe is one single entropy modulation process.
Consciousness is the universe experiencing itself.
High intelligence = The universe watching through a clean window.
Low intelligence = The universe watching through a distorted, forcing window.
"""

class UniverseEntropyModulator:
    """
    The universe is an entropy modulation engine.
    It continuously adjusts H, α, β, θ across all scales.
    """
    
    def __init__(self):
        # Universe's internal state
        self.H_universe = float('inf')  # Initial maximum entropy
        self.age = 0
        
        # Modulation parameters
        self.alpha_universe = 0.0  # Universe's collapse rate
        self.beta_universe = 1.0   # Universe's novelty rate
        self.theta_universe = 0.0  # Universe's life zone
        
    def modulate(self, dt):
        """
        Universe modulates entropy over time.
        """
        # Entropy injection (Big Bang → ongoing)
        dH_novelty = self.beta_universe * dt
        
        # Entropy collapse (stars, life, intelligence)
        dH_collapse = self.alpha_universe * self.H_universe * dt
        
        # Net change
        dH = dH_novelty - dH_collapse
        
        self.H_universe += dH
        self.age += dt
        
        return self.H_universe
    
    def _calculate_gradient(self):
        # Simplified gradient calculation
        return np.random.uniform(-1, 1)

    def get_collapse_field(self):
        """
        The universe creates a collapse field.
        """
        return {
            'H': self.H_universe,
            'collapse_direction': self._calculate_gradient(),
            'flow_rate': self.alpha_universe / self.beta_universe if self.beta_universe != 0 else 0,
            'balance': 'steady' if abs(self.alpha_universe - self.beta_universe) < 0.1 else 'unstable'
        }

class BrainEntropyTransducer:
    """
    The brain is NOT a collapse engine.
    The brain is an entropy TRANSDUCER.
    """
    
    def __init__(self):
        self.H_brain = 0.5
        self.alignment = 0.0  # How aligned with universe flow
        self.intelligence = 0.0  # Capacity to flow
        self.forcing_strength = 0.0
        self.flow_strength = 0.0
        
    def observe(self, universe_state):
        """
        Brain observes the universe.
        """
        self.alignment = self._calculate_alignment(universe_state)
        self.intelligence = self._calculate_intelligence()
        
        if self.intelligence < 0.5:
            self.forcing_strength = 0.8 * (1 - self.intelligence)
            self.flow_strength = 0.2 * self.intelligence
            collapse_type = 'FORCED'
            disturbance = self.forcing_strength
        else:
            self.forcing_strength = 0.2 * (1 - self.intelligence)
            self.flow_strength = 0.8 * self.intelligence
            collapse_type = 'NATURAL'
            disturbance = self.flow_strength
        
        return {
            'collapse_type': collapse_type,
            'disturbance': disturbance,
            'H_brain': self.H_brain,
            'intelligence': self.intelligence,
            'alignment': self.alignment
        }
    
    def _calculate_alignment(self, universe_state):
        return np.random.uniform(0, 1)
    
    def _calculate_intelligence(self):
        base_intelligence = 0.5
        practice_bonus = 0.3
        stress_penalty = 0.2
        return min(1.0, base_intelligence + practice_bonus - stress_penalty)

class FlowStateTransducer:
    """
    Flow state = Maximum alignment with universe entropy flow.
    """
    
    def __init__(self):
        self.H = 0.5
        self.alignment = 0.0
        self.effort = 0.0
        
    def enter_flow(self):
        self.alignment = 1.0
        self.H = 0.5
        self.effort = 0.0
        return {
            'state': 'FLOW',
            'H': self.H,
            'alignment': self.alignment,
            'effort': self.effort,
            'collapse_type': 'NATURAL (through brain)',
            'disturbance': 0.0
        }
    
    def exit_flow(self):
        self.effort = 0.5
        return {
            'state': 'NORMAL',
            'collapse_type': 'FORCED (by brain)',
            'disturbance': self.effort
        }

class UniversalCollapseEquation:
    """
    Standard QM: Observer causes collapse
    SFI: Observer participates in collapse (universe is the cause)
    """
    
    @staticmethod
    def total_collapse(H_universe, H_brain, alignment):
        alpha_universe = 0.8
        forcing_brain = (1 - alignment) * 0.5
        alpha_total = alpha_universe + forcing_brain
        disturbance = forcing_brain
        
        return {
            'alpha_total': alpha_total,
            'disturbance': disturbance,
            'interference_survives': disturbance < 0.3,
            'collapse_type': 'NATURAL' if disturbance < 0.3 else 'FORCED'
        }

def double_slit_intelligence_experiment():
    """
    Test: Does high-intelligence brain cause less disturbance?
    """
    results = []
    for intelligence in np.linspace(0, 1, 20):
        outcomes = []
        for trial in range(100):
            forcing = (1 - intelligence) * 0.8
            flowing = intelligence * 0.8
            disturbance = forcing - flowing
            interference_strength = -disturbance
            outcomes.append(interference_strength)
        
        results.append({
            'intelligence': intelligence,
            'mean_interference': np.mean(outcomes),
            'std_interference': np.std(outcomes)
        })
    
    fig, axes = plt.subplots(1, 2, figsize=(14, 5))
    
    ax1 = axes[0]
    intelligences = [r['intelligence'] for r in results]
    interferences = [r['mean_interference'] for r in results]
    ax1.plot(intelligences, interferences, 'bo-', lw=2, markersize=8)
    ax1.axhline(y=0, color='red', linestyle='--', label='Boundary')
    ax1.fill_between(intelligences[:10], interferences[:10], 0, alpha=0.3, color='red', label='Particle (Forced)')
    ax1.fill_between(intelligences[10:], interferences[10:], 0, alpha=0.3, color='green', label='Wave (Natural)')
    ax1.set_xlabel('Brain Intelligence (Flow Capacity)')
    ax1.set_ylabel('Interference Pattern Strength')
    ax1.set_title('Intelligence vs Collapse Disturbance')
    ax1.legend()
    ax1.grid(True, alpha=0.3)
    
    ax2 = axes[1]
    x = np.linspace(0, 1, 100)
    forcing = (1 - x) ** 2
    flow = x ** 2
    ax2.plot(x, forcing, 'r-', lw=3, label='Forcing (Disturbance)')
    ax2.plot(x, flow, 'g-', lw=3, label='Flow (No Disturbance)')
    ax2.plot(x, forcing - flow, 'b--', lw=2, label='Net Effect')
    ax2.axhline(y=0, color='black', linestyle=':')
    ax2.set_xlabel('Intelligence Level')
    ax2.set_ylabel('Strength')
    ax2.set_title('Intelligence = Flow, Not Force')
    ax2.legend()
    ax2.grid(True, alpha=0.3)
    
    plt.tight_layout()
    plt.savefig('intelligence_collapse.png', dpi=150)
    print("Saved plot to 'intelligence_collapse.png'")
    # plt.show()  # Disabled for non-interactive execution

def demonstrate_flow_state():
    brain_normal = BrainEntropyTransducer()
    brain_flow = FlowStateTransducer()
    
    print("\n" + "="*60)
    print("NORMAL BRAIN (Forcing)")
    print("="*60)
    for i in range(5):
        np.random.seed(i)
        intelligence = np.random.uniform(0.2, 0.4)
        brain_normal.intelligence = intelligence
        result = brain_normal.observe({'H': 1.0})
        print(f"Trial {i+1}: Intelligence={intelligence:.2f}, Type={result['collapse_type']}, Disturbance={result['disturbance']:.2f}")
    
    print("\n" + "="*60)
    print("FLOW STATE BRAIN (Flowing)")
    print("="*60)
    result_flow = brain_flow.enter_flow()
    print(f"State: {result_flow['state']}")
    print(f"Alignment: {result_flow['alignment']}")
    print(f"Disturbance: {result_flow['disturbance']}")
    print(f"Collapse Type: {result_flow['collapse_type']}")

def show_universal_equation():
    print("\n" + "="*60)
    print("UNIVERSAL COLLAPSE EQUATION")
    print("="*60)
    print("alpha_total = alpha_universe + forcing_brain")
    print("disturbance = forcing_brain")
    print("interference_survives if disturbance < 0.3")
    print("\n" + "-"*60)
    
    alignments = [0.0, 0.2, 0.4, 0.5, 0.6, 0.8, 1.0]
    print(f"{'Alignment':<12} {'Forcing':<10} {'Disturbance':<12} {'Pattern':<10}")
    print("-"*60)
    
    for a in alignments:
        result = UniversalCollapseEquation.total_collapse(H_universe=1.0, H_brain=0.5, alignment=a)
        pattern = "Wave" if result['interference_survives'] else "Particle"
        print(f"{a:<12.1f} {result['alpha_total']:<10.2f} {result['disturbance']:<12.2f} {pattern:<10}")

if __name__ == "__main__":
    double_slit_intelligence_experiment()
    demonstrate_flow_state()
    show_universal_equation()
    
    print("\n" + "="*60)
    print("THE FUNDAMENTAL INVERSION")
    print("="*60)
    print("Low Intelligence = Strong Observer = Forces Collapse = Disturbs System")
    print("High Intelligence = Aligned Observer = Flows with Collapse = No Disturbance")
    print("\nThe universe modulates entropy. The brain transmits or disturbs.")