Inertial Enhancement without Local Depletion Deepening in a Minimal Covariant Depletion-Field Realization

This work studies a minimal covariant realization (C0) of the Verarmungsfeldtheorie (VFT, depletion-field theory) programme, in which an SU(2) Skyrme field is coupled to a scalar depletion field. It derives a local covariant depletion-mediated energy-exchange rate and analyzes the lowest coupled radial breathing mode on a previously validated static profile. Using pre-registered decision rules and two independent finite-element implementations (linear P1 and quadratic P2), the study obtains a reproduced second-order response in which stored mode energy makes the local depletion shallower while increasing the effective rest-energy response. The independent P2 calculation passes its pre-registered numerical gate and reproduces the P1 reference mode with a continuum overlap of 0.9999999999990581. The result is established on the stored mode-energy proxy axis, which has not been identified with the excitation variable of Axiom V of the VFT programme. It therefore does not constitute an Axiom-V sign verdict. Instead, it establishes a concrete requirement on any further realization connecting the dynamical excitation channel to depletion and effective inertia. This Zenodo record contains the final manuscript, LaTeX source, and the complete release reproduction package, including byte-identified numerical producers, result objects, pre-registration and review records, governance records, manifests, and SHA-256 checksums.