A G2-Compactification with Double-Warp Architecture: Gauge Hierarchies, Torsion Potentials and QCD Confinement from Entanglement Weights

We derive a G2-holonomy compactification with Double-Warp Architecture (DWA) starting from the weighted entanglement lattice B=(V,E,W). The G2 3-form is embedded directly as phi_abc = epsilon_abcdefg d_d log W_ef, yielding the effective 4D action S = integral d^4x sqrt(-g)[R + kappa|nabla phi|^2]. Two warp factors (k1 ~ 6100 GeV, k2 ~ 0.1175 MeV) generate the electroweak/QCD hierarchy and the Cornell potential V(r) = -alpha_tau/r + sigma_tau r from a single tau1 Proca propagator. The Cornell linear term is derived explicitly from Abrikosov flux tube formation. The strong coupling emerges exactly from the Casimir ratio h-check(G2)/h-check(SU(3)) = 4/3. The QCD warp factor scale k2 = Lambda_QCD/f is derived geometrically: S6 fibre volume gives f_geom ~ 1.47 at tree level; W1 torsion correction brings f ~ 1.7 (OP-25d pending). All self-referentiality loops explicitly declared. Physical interpretation deferred to companion master document (Brigo 2026b, restricted). Empirical validation in Paper III (DOI: 10.5281/zenodo.18988964) and falsifiability in Paper V (DOI: 10.5281/zenodo.18990091). v2 (March 2026): Corrected soliton tension integral from 2/9 to 4/15 (verified analytically). Updated k2 ~ Lambda_QCD/2.04 (previously 1.7). Amended table and self-referentiality audit accordingly.