We examine the poloidal pump operator P_z — the directed, asymmetric flux of vacuum energy quanta through VEQF solitons — as a candidate mechanism for generating multiple observed properties of matter. Within the Vacuum Energy Quanta Field (VEQF) framework, we show how the same pump flux projects onto four distinct sectors of the external vacuum medium: (i) inertial mass via vacuum drag against beat-frequency interference, (ii) electric charge via toroidal wake circulation, (iii) magnetism via Lorentz distortion of the wake, and (iv) gravitational coalescence via gradient-asymmetric pump recoil. A constitutive postulate links the vacuum’s spectral stiffness K to its volumetric admittance G via the topological invariant G ⋅ K = 2¹⁰ π l_p² c. By utilizing this topological route, the mesoscopic lattice scale (l_q) cleanly cancels from all observable ratios. The gravitational-to-electromagnetic force ratio for the proton is computed as 8.15 × 10^{-37}, consistent with the observed value to within current theoretical precision, utilizing an electromagnetic wake coupling ξ that is independently derived from electron topology, not fitted. Furthermore, we demonstrate that the same G ⋅ K throughput invariant governs the local causal transport of light via the Principle of Least Tension, yielding a rigorously derived, falsifiable prediction for chromatic gravitational lensing (γ = −0.0025). This work forms part of the ongoing development of the VEQF framework and is designed to be self-contained, with key derivations summarized in the appendices.