An Operator Bridge Between Arithmetic Heights and Analytic Residues for Elliptic Curves: Supersession Notice

This version is a supersession notice for the earlier BSD-oriented draft titled “An Operator Bridge Between Arithmetic Heights and Analytic Residues for Elliptic Curves.” The argument contained in the previous version of this record is no longer the author’s current approach and should not be cited as the current statement of the work. The record is preserved for archival completeness. The current replacement paper is: Petersen, B. L. (2026). The Birch–Swinnerton-Dyer Rank Equality from Source Closure and Endpoint Readout. Zenodo.https://doi.org/10.5281/zenodo.20731232 The replacement paper uses a different proof architecture. It formulates the rank equality as a Coherence Geometry source-closure problem with arithmetic and analytic endpoint readouts. The earlier draft should be regarded as developmental background only.