A Self-Adjoint Horn Operator and Its Completed Spectral Determinant

Status Revision: Conditional Framework NoteThis revised version reclassifies the prior manuscript as a conditional framework note rather than anasserted proof of the Riemann Hypothesis.The paper should not be cited or read as claiming an unconditional proof of RH. Its intended content is aconditional operator–geometric architecture: if the stated spectral realization, heat-trace duality, Mellincompletion, spectral-zero correspondence, and identification with the classical Riemann xi-function areindependently established, then the critical-line conclusion follows formally.Any language in prior versions suggesting that this manuscript proves RH is superseded by this statusnote. The author’s current RH work is pursued in a separate paper with a different architecture. Thisrecord is retained only as a conditional framework and historical development document.