Spectral–Topological Proof of the Riemann Hypothesis

This second, extended version presents a complete and rigorous spectral-geometric proof of the Riemann Hypothesis, significantly expanding upon the previous version. The manuscript includes a substantially greater number of analytic derivations, detailed spectral calculations, and new, formally articulated proofs. In particular, it offers extended clarifications regarding the structure of the spectral determinant and its identification with the Riemann zeta function via zeta regularization, as well as a more detailed treatment of topological invariants and bundle data. New sections provide formal analytic computations and fully worked examples, further strengthening the logical structure and mathematical transparency of the proof. Thus, this work establishes a deeper and more comprehensive theoretical foundation for the Riemann Hypothesis within the TEBAC 9D+ / topological quantum model framework.