Computational validation code for E8 x U(1) quantum gravity

Computational validation suite for the manuscript: E8 x U(1) Structure and Dynamics in Hilbert Bundle Quantum Gravity: From Error Correction to Cosmic Inflation by Ali Rubaidi.

This package contains five Python modules with 20 validation tests:

1. e8_root_system.py - E8 root lattice construction (240 roots, Cartan matrix verification)
2. e8_qec_code.py - [[248, 120, 8]] quantum error correcting code (Singleton/Hamming bounds, threshold ~0.036)
3. e8_inflation.py - Inflationary predictions (n_s = 0.9649, r < 0.01, N > 50 e-folds)
4. e8_cmb.py - CMB power spectrum modifications (E8 corrections, BPO features)
5. e8_emergence.py - Dimensional emergence dynamics (248D to 4D via 11D)

All 20 tests pass with precision < 10^-12. Requirements: Python 3.8+, NumPy, SciPy.

Usage: python run_all_tests.py