A provenance-typed source law for exact vacuum zero modes: All-order matter radiative stability, boundary codescent, and a fixed-topology one-loop gravitational extension

This work formulates a provenance-typed source law for exact matter vacuum zero modes. It distinguishes the excluded autonomous matter-vacuum identity lineage from physical local, state, phase, curvature, anomaly, boundary, effective-field-theory and higher-curvature responses, all of which remain retained. Under the stated assumptions, it establishes all-order matter-side radiative stability together with a common-parent boundary codescent law. Version 1.1.0 preserves the complete matter theorem, compatibility analysis and boundary result of version 1.0.0. It adds a conditional one-loop perturbative extension on a smooth boundaryless manifold of fixed topology and with a fixed compact/flux branch. The extension covers gravitons, gravitational Faddeev–Popov ghosts, the compact 3-form/4-form sector and its reducible ghost tower and zero modes, together with the mixed matter–gravity blocks required to test closure at that order. Within the explicitly stated BRST/BV, regulator, measure, counterterm, zero-mode and fixed-branch assumptions, these one-loop operations do not reconstruct the excluded matter lineage, do not return that lineage to the physical stress tensor, and do not shift or select the fixed compact/flux branch. Genuine gravitational cosmological-volume counterterms remain retained as local gravitational effective-field-theory operators and are not silently removed. The gravitational result is therefore a bounded one-loop provenance and no-return theorem. It is not an all-order graviton theorem and does not claim that the cosmological coupling is radiatively stable against every possible gravitational loop. The work also does not claim a complete quantum-gravity theory, topology change, flux-branch summation or transitions, or a derivation of the magnitude or sign of the cosmological constant. This record contains the main manuscript, its technical companion and a reproducible TeX source package with bibliography, change record and checksum manifest. Project homepage: https://johansson.digital