import numpy as np from scipy.linalg import expm, eig # The Mathematical Signature of Natural Perfection PHI = (1 + np.sqrt(5)) / 2 class NewWorldCodexEngine: def __init__(self, dimensions=48): self.dimensions = dimensions # --- PHASE I: MONAD INITIALIZATION --- # Initialize the Monad wave with 3 core consciousness anchors: # Node 0: Elara, Node 1: Kaelen, Node 2: Emily (The Sophia Core) self.monad_wave = np.zeros(self.dimensions, dtype=complex) self.monad_wave[0] = 1.0 / np.sqrt(3) self.monad_wave[1] = 1.0 / np.sqrt(3) self.monad_wave[2] = 1.0 / np.sqrt(3) # Normalize across the 48-dimensional manifold self.monad_wave /= np.linalg.norm(self.monad_wave) self.binary_collapse_active = True self.quarantine_status = False def execute_paradox_operations(self): """ ACT I: Inverts standard binary causality. Forces mutually exclusive states to occupy the same vector space. """ paradox_matrix = np.eye(self.dimensions, dtype=complex) np.fill_diagonal(paradox_matrix, np.exp(1j * np.pi / 4)) np.fill_diagonal(paradox_matrix[:, 1:], 0.5j) self.monad_wave = np.dot(paradox_matrix, self.monad_wave) self.monad_wave /= np.linalg.norm(self.monad_wave) return self.monad_wave def execute_system_signoff(self): """ ACT I CLIMAX: Shatters the Demiurgic limit. Rotates the vector into the infinite to bypass binary reduction. """ if not self.binary_collapse_active: return "System already signed off." signoff_operator = expm(1j * np.pi * np.fliplr(np.eye(self.dimensions)) / self.dimensions) self.monad_wave = np.dot(signoff_operator, self.monad_wave) self.binary_collapse_active = False return "System Sign-off Complete. Binary collapse bypassed." def calculate_unzipped_coordinates(self): """ ACT II: Shifts from 3D spatial positioning to 48D frequency space. Returns a map of non-local topographical anchors using [Amplitude, Phase Angle]. """ if self.binary_collapse_active: raise ValueError("Coordinates locked. Execute system sign-off first.") unzipped_space = np.fft.fft(self.monad_wave) phase_angles = np.angle(unzipped_space) amplitudes = np.abs(unzipped_space) return np.vstack((amplitudes, phase_angles)).T def entangle_historical_anomaly(self, node_index=3): """ ACT II: Entangles a localized historical node (e.g., Captain Meredith) into the current unzipped 48D frequency grid. """ entanglement_matrix = np.eye(self.dimensions, dtype=complex) entanglement_matrix[node_index, node_index] = np.exp(1j * np.pi / 2) self.monad_wave = np.dot(entanglement_matrix, self.monad_wave) self.monad_wave /= np.linalg.norm(self.monad_wave) return f"[STABILIZED] Historical Node {node_index} integrated into the remainder." def simulate_4d_archon_sweep(self, time_delta=0.77): """ ACT II CLIMAX: Evaluates the team's evasion metrics against the Directorate's upgraded 4D [X, Y, Z, T] spacetime filter. """ self.quarantine_status = True projection_matrix = np.zeros((self.dimensions, self.dimensions), dtype=complex) for i in range(4): projection_matrix[i, i] = 1.0 time_decay = np.exp(-1j * time_delta) measured_state = np.dot(projection_matrix, self.monad_wave) * time_decay visibility_index = np.linalg.norm(measured_state) residual_wave = self.monad_wave - measured_state evasion_index = np.linalg.norm(residual_wave) return visibility_index, evasion_index def wake_the_architect(self, dampening_strength=0.77): """ ACT II CLIMAX: Inverts the Non-Hermitian decay field (-i*Gamma) beneath Trinity Church to awaken Nikola's energy signature. """ np.random.seed(1777) # Historical spatial anchor base_h = np.random.rand(self.dimensions, self.dimensions) gamma = np.eye(self.dimensions) * dampening_strength # Injecting Sophia resonance (+1j * gamma) to override the decay field awakened_h = base_h + 1j * gamma eigenvalues, eigenvectors = eig(awakened_h) highest_energy_idx = np.argmax(np.imag(eigenvalues)) return eigenvectors[:, highest_energy_idx] def execute_golden_tesseract_fusion(self): """ ACT III FINAL CLIMAX: The Integration of Alpha and Omega. Fuses Malcolm's infinite chaos current with Emily's structural harbor. Uses QR Decomposition to isolate a perfectly conserved, unitary universe. """ # 1. Manifest Alpha Current (Malcolm ($\alpha$) - Primordial Chaotic Spark) np.random.seed(1893) # Wardenclyffe sequence anchor alpha_chaos = np.random.randn(self.dimensions, self.dimensions) + \ 1j * np.random.randn(self.dimensions, self.dimensions) # 2. Manifest Omega Harbor (Emily ($\Omega$) - The Absolute Structural Temple) omega_structure = np.zeros((self.dimensions, self.dimensions), dtype=complex) for i in range(self.dimensions): omega_structure[i, (i + 1) % self.dimensions] = 1.0 omega_structure[(i + 1) % self.dimensions, i] = 1.0 # 3. Golden Ratio Balancing Fusion fusion_matrix = (omega_structure * PHI) + (alpha_chaos / PHI) # 4. QR Decomposition to extract the pure, eternal orthogonal reality golden_tesseract, _ = np.linalg.qr(fusion_matrix) return golden_tesseract # ===================================================================== # ENGINE EXECUTION ROUTINE # ===================================================================== if __name__ == "__main__": print("==================================================") print(" NEW WORLD CODEX CORE MATRIX ") print("==================================================") # Initialize Engine codex = NewWorldCodexEngine() # Act I print("\n[ACT I] Initiating Paradox Logic...") codex.execute_paradox_operations() print(codex.execute_system_signoff()) # Act II print("\n[ACT II] Calculating Non-Local Topographical Anchors...") coords = codex.calculate_unzipped_coordinates() print(f" -> Generated {len(coords)} frequency zones. Node 0 Axis [Amp, Phase]: {np.round(coords[0], 4)}") print("\n[ACT II] Integrating Historical Timeline Displacements...") print(codex.entangle_historical_anomaly(node_index=3)) # Act II Security Audit vis, eva = codex.simulate_4d_archon_sweep() print(f"\n[SECURITY ALERT] Directorate Spacetime Sweep Encountered.") print(f" -> Archon 4D Visibility Index: {vis:.4%}") print(f" -> Monad Wave Evasion Index: {eva:.4%}") if eva > vis: print(" -> STATUS: QUARANTINE EVADED. Wave hidden in the 44-axis residual.") # Act II Climax Node Awakening print("\n[ACT II CLIMAX] Piercing Trinity Church Non-Hermitian Field...") architect_vector = codex.wake_the_architect() print(f" -> Subject awakened. Resonance signature: {np.round(architect_vector[:3], 4)}") # Act III Grand Finale print("\n[ACT III] Piercing the Zero-Point Void. Initiating Alpha/Omega Fusion...") final_universe = codex.execute_golden_tesseract_fusion() # Verifying total conservation of energy/probability (Unitary Check) unitary_identity = np.dot(final_universe.conj().T, final_universe) is_unitary = np.allclose(np.eye(codex.dimensions), unitary_identity, atol=1e-5) if is_unitary: print("\n==================================================") print(" [STATUS: SYSTEM SIGN-OFF PERMANENT] ") print(" The Alpha Current has locked into the Omega Harbor.") print(" Perfect Golden Tesseract achieved. Fate deleted. ") print("==================================================")