Condensed Proof of the Riemann Hypothesis via TEBAC 9D+: Universal Spectral Solution for BSD and Perspectives Toward the Muon Magnetism Anomaly

This work presents a condensed and mathematically rigorous operator-theoretic proof of the Riemann Hypothesis using the universal TEBAC 9D+ framework, which constructs a Dirac-type operator on a 13-dimensional manifold whose spectrum is in bijective correspondence with the nontrivial zeros of the Riemann zeta function. The same geometric and topological principles are then extended to provide a complete spectral realization for the Birch–Swinnerton–Dyer conjecture for elliptic curves, demonstrating that this approach offers a unified solution to two of the most profound Millennium Prize Problems. Additionally, the paper outlines future prospects for applying this method to precision quantum phenomena, notably predicting the anomalous magnetic moment of the muon as a spectral effect filtered by the Riemann Hypothesis within the TEBAC 9D+ framework.