TEBAC HP II: GS5/E2 Base — End Normal Form, Remainder Class, and Compact Resolvent on the GL(1) Channel

We discharge the upstream GS5/E2 assumptions needed by the TEBAC Hilbert–Pólya program: the arithmetic end coordinate and Hilbert density, the end normal form of the GL(1) channel operator, admissibility/regularity of the remainder, and confinement properties implying self-adjointness and compact resolvent. We also replace any “spectral gap” assumption by a canonical large-time decay statement obtained after zero-mode subtraction. These results are the sole operator-theoretic inputs for the TP, CT/wedge, and HP-bridge modules. Keywords:Hilbert–Pólya program; Riemann hypothesis; GL(1) channel; confining Schrödinger operator; compact resolvent; self-adjointness; trace-class heat semigroup; end normal form; zeta-regularized determinant; spectral theory Notes:Part of the modular “TEBAC Hilbert–Pólya” preprint series. This record corresponds to module HP-II (GS5/E2 base).