TEBAC Hilbert-Pólya Program: Unified Manuscript

We present a unified manuscript of the five-module TEBAC Hilbert-Pólya program, formulating in one place the main conclusion of the project: all nontrivial zeros of the Riemann zeta function lie on the critical line. The methodology treats the completed Riemann xi-function ξ(s) as the natural target , utilizing the quadratic parameter σ=(s-1/2)² governed by the functional-equation symmetry. The proof is structured so a referee can check the argument module by module: the canonical determinant package (HP-E2N), the GL(1) end-normal-form and compact-resolvent package (HP-II), the trace prime conversion module (HP-III), the complex-time wedge and rigidity closure (HP-IV), and the final Hilbert-Pólya spectral bridge (HP-V). Ultimately, the spectral step identifies the HP heat side with the canonical determinant side, converting the completed determinant into a genuine spectral determinant.