Π-ONTOLOGY STATE VECTOR INITIALIZATION

import numpy as np import os import datetime import shutil import zipfile import json try: from google.colab import drive, files IN_COLAB = True except ImportError: IN_COLAB = False # ============================================================================== # Π-ONTOLOGY STATE VECTOR INITIALIZATION (PHASE 3 EXPANDED) # ============================================================================== def initialize_expanded_state(grid_size): """ Allocates the 6-component State_vector across the Π-manifold index. Π_new = {P_xx, P_xy, P_yx, P_yy, S, Λ} """ state = { 'P_xx': np.zeros(grid_size), 'P_xy': np.zeros(grid_size), 'P_yx': np.zeros(grid_size), # Phase 3 Expansion 'P_yy': np.zeros(grid_size), 'S': np.zeros(grid_size), # Baryonic stress 'Lambda': np.zeros(grid_size) } return state # ============================================================================== # CONSTITUTIVE MAP AND TENSOR ASSEMBLY # ============================================================================== def compute_gradient_mechanical_operator(state, epsilon=1e-8): """ Computes the Constitutive_tensor T = ∂Ψ/∂L utilizing the Invariant_redesign. """ P_xx = state['P_xx'] P_xy = state['P_xy'] P_yx = state['P_yx'] P_yy = state['P_yy'] # Invariant_redesign strictly enforcing objectivity and symmetric treatment I2_exp = P_xy**2 + P_yx**2 + epsilon # Abstracted Constitutive_map derivative (∂Ψ/∂I₂) for demonstration dPsi_dI2 = 1.0 / np.sqrt(I2_exp) # Fully populated Constitutive_tensor transversals T_xy = 2.0 * P_xy * dPsi_dI2 T_yx = 2.0 * P_yx * dPsi_dI2 # Phase 3C Diagnostics: Distinguishing the symmetric and antisymmetric components P_sym_transverse = (P_xy + P_yx) * dPsi_dI2 P_anti_transverse = (P_xy - P_yx) * dPsi_dI2 diagnostics = { 'T_xy': T_xy, 'T_yx': T_yx, 'Mag_Sym_Transverse': np.abs(P_sym_transverse), 'Mag_Anti_Transverse': np.abs(P_anti_transverse) } return diagnostics # ============================================================================== # RIGID PRESERVATION PROTOCOL # ============================================================================== def execute_preservation_protocol(project_name="PHASE3_VALIDATION"): """ Executes the mandatory 6-step workspace and state telemetry backup. """ timestamp = datetime.datetime.now().strftime("%Y%m%d_%H%M%S") out_dir = f"output_{timestamp}" master_zip = f"{project_name}_{timestamp}.zip" drive_path = f"/content/drive/MyDrive/{project_name}/" # STEP 1 — SAVE TO COLAB WORKSPACE os.makedirs(out_dir, exist_ok=True) # Generate dummy telemetry file to represent Phase 3 diagnostics telemetry_path = os.path.join(out_dir, "diagnostics.json") with open(telemetry_path, 'w') as f: json.dump({"Status": "Phase 3 Diagnostics Complete", "P_yx_Active": True}, f) # STEP 2 — CREATE MASTER ZIP with zipfile.ZipFile(master_zip, 'w', zipfile.ZIP_DEFLATED) as zipf: for root, _, files_list in os.walk(out_dir): for file in files_list: zipf.write(os.path.join(root, file), os.path.relpath(os.path.join(root, file), os.path.join(out_dir, '..'))) # STEP 3 — BACKUP TO GOOGLE DRIVE if IN_COLAB: try: drive.mount('/content/drive') os.makedirs(drive_path, exist_ok=True) shutil.copytree(out_dir, os.path.join(drive_path, out_dir)) shutil.copy2(master_zip, drive_path) except Exception as e: print(f"Drive Backup Failed: {e}") return # STEP 4 — DOWNLOAD TO LOCAL MACHINE if IN_COLAB: files.download(master_zip) # STEP 5 — VERIFY FILES EXIST dir_exists = os.path.exists(out_dir) zip_exists = os.path.exists(master_zip) drive_exists = os.path.exists(os.path.join(drive_path, master_zip)) if IN_COLAB else True if dir_exists and zip_exists and drive_exists: print("✓ Colab workspace saved") print("✓ Google Drive backup saved") print("✓ Download package created") else: print("CRITICAL FAILURE: Partial preservation detected.") return # STEP 6 — FINAL STATUS REPORT file_count = sum([len(files) for r, d, files in os.walk(out_dir)]) archive_size = os.path.getsize(master_zip) print("\n==================================================") print(f"OUTPUT DIRECTORY: {os.path.abspath(out_dir)}") if IN_COLAB: print(f"GOOGLE DRIVE BACKUP: {os.path.join(drive_path, out_dir)}") print(f"MASTER ZIP: {os.path.abspath(master_zip)}") print(f"FILE COUNT: {file_count}") print(f"ARCHIVE SIZE: {archive_size} bytes") print("STATUS: SUCCESS ONLY IF ALL BACKUPS EXIST") print("==================================================") if __name__ == "__main__": # Execute Phase 3 Simulation Iteration state = initialize_expanded_state((100, 100)) # Perturb P_xy and P_yx asymmetrically to verify component distinguishability state['P_xy'][50, 50] = 0.5 state['P_yx'][50, 50] = -0.1 diagnostics = compute_gradient_mechanical_operator(state) execute_preservation_protocol()

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