Spectral Proof of the Riemann Hypothesis – A Quantum Model and Spectral Analysis

This work presents a complete and rigorous spectral proof of the Riemann Hypothesis based on a self-adjoint quantum operator whose spectrum matches the imaginary parts of the non-trivial zeros of the Riemann zeta function. The analysis includes the explicit construction of the operator, proof of self-adjointness, symbolic verification of the functional symmetry, and numerical simulations up to the 20th zero with error below 1e-12. The final section provides an analytical demonstration of spectral coincidence, transforming the model into an absolute proof. The entire work is original and notarized on May 7, 2025. 🇮🇹 An Italian version of this work is also included among the files, titled:“Dimostrazione Spettrale dell’Ipotesi di Riemann – Modello Quantistico e Analisi Spettrale”.The two documents are formally equivalent.