We humbly submit for community scrutiny a possible proof of the Riemann Hypothesis. The argument is based on the spectral entropy of the twisted Liouville sum, the rigorous Lorentzian shape of the contribution of a single zeta zero, the Dixmier measurability of an associated operator (Ponge–Tian, 2026), and the thermodynamic uniqueness of the KMS₁ state of the Bost–Connes system. Version 3 presents the complete proof with all technical sections: rigorous Lorentzian peak derivation, Dixmier measurability via the Universal Barrier Lemma, the link between spectral measurability and entropy universality, and the final thermodynamic contradiction. We do not claim a definitive proof; we merely submit this synthesis for community scrutiny, in the hope that experts can determine its validity. All data and code are available on Zenodo.