Chiral Flow Found, Microscopic GEP Origin Not Yet Derived

Granular Entropic Physics (GEP) is built around a tetrahedral network whose spinorial lifts naturally contain quaternionic sectors and central holonomy (-I). This paper isolates one decidable question from the Stone-2 chiral program: can faithful non-Abelian (Q_8) links and the resulting central commutator holonomy (W=-I) coexist with a gapped topological bulk and an oriented chiral boundary pump, or do lattice compensation, quaternionic frustration, or a hidden direct-sum structure destroy the mechanism? We construct a four-band Qi–Wu–Zhang disk with a two-dimensional orbital space and a faithful two-dimensional (Q_8) link space, (q_i=-iτ_x), (q_j=-iτ_y), and (q_iq_jq_i⁻¹q_j⁻¹=-I). The infinite model has an exact spectrum with one-particle gap (√2-1). Each principal result is tested against a pre-registered failure criterion. A gauge-periodic (2π) flux cycle gives the region-resolved spectral-flow inventory (νedge=+4), (νcore=-4), (νbulk=0), and (νₜₒₜₐₗ=0). Independently, the occupied rank-two bundle has first Chern number (-4): the Fukui–Hatsugai–Suzuki and velocity/Kubo calculations agree; the FHS result is invariant under local (U(2)) frame scrambling; and the occupied and complementary Chern numbers satisfy the required sum rule. After the pre-registered orientation calibration, the edge-oriented value (+4) equals the measured outer-edge flow. Finally, the generated algebra is the full (M_4(C)) with scalar commutant, so no momentum-independent unitary transformation reduces the model to independent smaller QWZ blocks. The established conclusion is a scoped existence-and-compatibility result, not a microscopic derivation: in this faithful algebraic proxy, quaternionic central holonomy motivated by the tetrahedral GEP setting can coexist with an irreducible gapped Chern bulk and a compensated chiral edge-to-core quantum pump. The paper is explicit about what it does not establish. It does not derive the QWZ Hamiltonian, disk geometry, or flux protocol from GEP; it does not prove anomaly inflow; and it does not construct the Kaplan-type ((4+1))-dimensional massive bulk, wall-bound ((3+1))-dimensional Weyl mode, doubler control, or anomaly ledger required for a Standard-Model-relevant chiral sector. Chiral flow is found in a faithful, bounded proxy; its microscopic GEP origin is not yet derived.