Addendum VI to the Berg Theory

Addendum VI develops the matter-formation module of the Berg Theory by treating matter as the retained-core regime of one connected energy-web field rather than as an additional ontological ingredient beside field and radiation. In this framework, a localized configuration becomes matter only when threshold activation, anti-flux retention, order memory, and survival on the declared observation window hold together under one frozen protocol. Matter formation is therefore formulated as a nucleation, retention, and persistence problem inside a single-field picture: a sharp practical onset arises from barrier-controlled rates and survival conditions, not from a fundamental discontinuity in the underlying field. It makes this route concrete through a barrier-and-growth packet with critical seed size, barrier height, survival exponent, retention diagnostics, and an explicit distinction between transient activation, dephased gravitating support, forced over-density, and durable matter identity. The released matter criterion is tied to the sign-anchored Berg field equation, the Jordan-frame action-check kernel, nonnegative web-strength bookkeeping, declared coarse graining, and a no-rescue protocol that prevents later particle, family, spin, antimatter, magnetic, or numerical language from repairing a failed retained-core gate. Version 6 strengthens the physical and audit structure of the module. The main text carries the visible retained-core matter line; Appendix A provides the mathematical and physical companion layer; Appendix B keeps packet sheets, prediction locks, downgrade logic, threshold and relaxation evidence, source-rights notes, and series-integration ledgers inspectable; Appendix C records the current executable numerical prototype, monitor outputs, reproduction route, and full numerical-relativity proof boundary; and the technical archive preserves the W100+ proof-state development trail with selected pre-W100 provenance. The numerical layer supports the reduced prototype route but does not claim a production-grade unrestricted BSSN/Z4c Einstein–scalar proof or independent public reproduction. The outward-facing test layer is sharpened around onset ordering, incubation, hysteresis, environment-sensitive survival, retention-versus-leakage phase structure, ordinary versus Berg-conjugate formation routes, long-lived or remnant-channel bounds, and data-facing comparison rows. Version 6 also adds reduced family- and spin-facing prediction layers tied to the retained-core geometry and the C1 matter-scale anchor. These layers are treated as downstream consequences of an already admitted retained core: family, species, spin, composite, magnetic, and many-knot material-state continuations may refine the packet, but they cannot manufacture matter from a failed threshold, a leaking core, or lost order memory. Antimatter-like behaviour is treated as a constrained conjugate route of the same field architecture, diagnosed by flux orientation, core pressure, shell retention, branch selection, and ring-boundary gradients rather than by adding a second field. The result is a bounded but testable matter module: it does not complete the full microscopic particle catalogue, but it fixes the operational conditions under which a localized energy-web configuration may be admitted as durable matter in the Berg Theory.