import math

class GTOC_Universal_Solver:
    """
    General Theory of Correspondence (GTOC) Universal Engineering Solver (v1.1).
    Calculates structural limits of macroscopic physical systems based on 
    the fundamental 10^-31 meter volumetric state-space.
    """
    def __init__(self):
        # GTOC Immutable Axioms
        self.LAMBDA_FLOOR = 1e-31  # Baseline lattice node resolution (m)
        self.ALPHA = 1 / 137.035999 # Fine-structure constant (Coupling bridge)
        self.C = 299792458 # Speed of light (m/s)
        
        # GTOC Empirical Calibration Constant
        self.EFFECTIVE_NODE_ENERGY = 2.618e-96 # Joules per node
        self.LATTICE_FREQUENCY = self.C / self.LAMBDA_FLOOR

    def analyze_structural_event(self, volume_m3, duration_s, domain_name="General"):
        """
        Calculates the structural energy debt and power limit of any given
        displacement void across any engineering domain.
        """
        print(f"\n--- GTOC Analysis: {domain_name} ---")
        print(f"Input Volume (V_void):  {volume_m3:.2e} m^3")
        print(f"State Duration (tau):   {duration_s:.2e} s")
        
        # 1. Microscopic Discretization (Lattice Nodes)
        node_volume = self.LAMBDA_FLOOR ** 3
        N_nodes = volume_m3 / node_volume
        print(f"Displaced Nodes (N):    {N_nodes:.4e} nodes")
        
        # 2. Structural Energy Yield (Geometric Debt Release)
        # E_yield = N * alpha * (eta * E_GUT)
        energy_joules = N_nodes * self.ALPHA * self.EFFECTIVE_NODE_ENERGY
        print(f"Energy Yield (E_debt):  {energy_joules:.4e} Joules")
        
        # 3. Structural Power Limit
        power_watts = energy_joules / duration_s
        print(f"Peak Power Limit (P):   {power_watts:.4e} Watts")
        print(f"----------------------------------------")
        
        return {
            "domain": domain_name,
            "nodes_N": N_nodes,
            "energy_J": energy_joules,
            "power_W": power_watts
        }

# --- Example Implementation Across Extreme Domains ---
if __name__ == "__main__":
    gtoc = GTOC_Universal_Solver()
    
    # 1. Acoustics / Fluid Dynamics (Cavitation)
    # A 0.5mm radius void collapsing in 10 nanoseconds
    vol_cavitation = (4/3) * math.pi * (0.5e-3)**3
    gtoc.analyze_structural_event(vol_cavitation, 10e-9, "Fluid Cavitation")
    
    # 2. High-Density Energy Storage (Dielectric Capacitor)
    # A 1 cubic millimeter dielectric matrix discharging in 1 microsecond
    vol_dielectric = (1e-3)**3
    gtoc.analyze_structural_event(vol_dielectric, 1e-6, "Energy Storage")
    
    # 3. Aerospace Structural Failure (Titanium Micro-fracture)
    # A 10 cubic micrometer fracture propagating in 1 millisecond
    vol_fracture = (10e-6)**3
    gtoc.analyze_structural_event(vol_fracture, 1e-3, "Aerospace Fatigue")
    
    # 4. Zero-Latency Computing (Processor Bit-Flip)
    # A 10 cubic nanometer transistor gate switching in 0.1 nanoseconds
    vol_transistor = (10e-9)**3
    gtoc.analyze_structural_event(vol_transistor, 0.1e-9, "Silicon Architecture")

    # 5. Quantum Thermodynamics (Qubit Decoherence)
    # A 1 cubic nanometer quantum dot decohering in 10 femtoseconds
    vol_quantum = (1e-9)**3
    gtoc.analyze_structural_event(vol_quantum, 10e-15, "Quantum Thermodynamics")
    
    # 6. Astrophysics (Stellar Core Collapse)
    # A 3000 km radius iron core collapsing in 0.25 seconds
    vol_core = (4/3) * math.pi * (3000e3)**3
    gtoc.analyze_structural_event(vol_core, 0.25, "Astrophysics (Supernova)")
    
    # 7. Geophysics (Tectonic Slip)
    # A 100km long, 15km deep fault slipping 5 meters in 10 seconds
    vol_fault = 100e3 * 15e3 * 5
    gtoc.analyze_structural_event(vol_fault, 10.0, "Geophysics (Earthquake)")