Validation Code Suite for "Emergent Spacetime from Quantum Information: Hilbert Bundles, Causal Sets, and the Quantum Principle of Relativity"

Numerical validation suite for the manuscript: Emergent Spacetime from Quantum Information: Hilbert Bundles, Causal Sets, and the Quantum Principle of Relativity by Ali Rubaidi. This package contains seven Python test modules validating the theoretical predictions: test1_area_entropy.py – Area-entropy scaling law (S = 0.267|∂D| + 0.41, r = 0.85) test2_qpr_consistency.py – QPR contraction theorem (κ = 0.73, convergence < 10¹&sup4;) test3_modular_einstein.py – Modular energy / Einstein tensor correlation (r > 0.99, 12 digits) test4_holographic_ee.py – Ryu-Takayanagi formula verification (< 2% error) test5_causality.py – Spacelike mutual information (I < 10¹²) test6_global_purity.py – Global state purity on tree covers (Tr(ρ²) = 1.000) test7_synchronization.py – Dodecahedron-Icosahedron synchronization (σ_c = 0.37, 64 modes) All 7 tests pass. Requirements: Python 3.8+, NumPy, SciPy. Usage: python run_all_tests.py