This v4 release presents the current Version B iteration of the TEBAC Hilbert--Polya program for the Riemann Hypothesis. The manuscript develops a non-circular trace-prime and determinant architecture aimed at identifying the completed Riemann xi-function with a compact-resolvent spectral determinant arising from a balanced \ (GL (1) \) Hilbert--Polya channel. Compared with the previous version, v4 substantially reorganizes the terminal obstruction analysis. The ordinary relative determinant and divisor-stripped ordinary phase routes are now explicitly marked as upstream or preparatory reductions. The official terminal obstruction is moved to the genuinely shifted prime-trace level, where the remaining C1 problem is formulated as shifted-orbit harmlessness, shifted Fredholm no-crossing, or shifted coboundary closure. The revised Version B hierarchy makes the proof architecture more transparent: ordinary relative-index closure, ordinary divisor-stripped phase acyclicity, and Route C coefficient-table verification are no longer presented as competing final endpoints. Instead, they are treated as preparatory or backup attacks on the same terminal shifted prime-trace obstruction. The shifted microlocal Lefschetz/orbit formulation is now the official final analytic theorem target. This version also incorporates the F2A divisor-stripped phase route, organized into phase-route foundations, no-crossing theorem targets, and corrected determinant/divisor transfer. The Route C finite-audit module remains as a backup mechanism, reducing one explicit attack on the shifted obstruction to a rowwise Weyl--Moyal coefficient-verification ledger. The manuscript remains claim-safe: it does not use \ ( (D₂₎₌=) \), RH, or any zero-location input upstream. The remaining mathematical work is explicitly isolated in the shifted prime-trace obstruction, the F2A no-crossing/acyclicity theorem, and the completion of the relevant finite coefficient audits.
Tosho Lazarov Karadzhov (Tue,) studied this question.