TEBAC BSD-II: A Status-Explicit Determinant, Reference-Factor, and Comparison Framework for Elliptic Curves over Q

BSD-II has now reached a referee-facing milestone stage in the TEBAC Birch–Swinnerton–Dyer program. The module is no longer best read as a diffuse collection of local construction tasks: its witness-side corridor is operationally frozen, its residual support-side obstruction is neutralized on the upward route, and its determinant/comparison architecture is compressed into one bundled pathway from the canonical theta package through Mellin/zeta regularization, the entire centered determinant, the parity/reference-factor layer, the completed determinant, and the final comparison/no-spurious-center package. What still remains open is explicit and finite rather than hidden: canonical theta admissibility, one canonical entire centered determinant datum, one normalized reference factor with the correct central germ, one normalized continuation/no-spuriousness package to the arithmetic center, and the final BSD-III import-integrity check. This preprint should therefore be read as a sharply localized BSD-II milestone—substantially compressed, structurally stabilized, and ready for the final determinant-side discharge—but not yet as a finished unconditional closure of the module.