Addendum II to the Berg Theory

Addendum II extends the Berg Theory core article into the dark sector. It formulates dark-halo behaviour as a geometric and dynamical regime of the same underlying scalar energy-web field Ψ that is used throughout the Berg Theory programme. The physically realized vacuum remains a nonzero background state, while the zero-field limit denotes absence of the web rather than the physical vacuum. The addendum treats dark matter not as an additional particle sector, but as sub-threshold structure of the energy web. Web strength is tracked by the nonnegative quantity ϱ≡|Ψ|², while effective gravitating density is used for dynamical and projected-mass bookkeeping. This keeps vacuum background, dark-halo support, and durable matter formation within one field framework, separated by activation and admissibility conditions rather than by unrelated substances. Two controlled dark-sector routes are developed. Route A describes direct amplitude-supported halo response with dust-like averaging in the standard scalar-field sense. Route B describes a hierarchical dark-cell support regime with dephased internal circulation, near-zero coarse-grained mean current, and nonzero retained structure. These routes are not free alternatives; they are declared reconstruction channels constrained by the same activation boundary, finite outer-halo handoff, prefactor safety condition, projected-response requirement, and cross-probe consistency tests. The observational layer is organized around a local closure fingerprint. A viable dark-sector reconstruction must connect rotation support, outer-halo handoff, projected geometry, merger ordering, slip localization, prefactor admissibility, and activation separation through one declared reconstruction family. Rotation curves are therefore treated as the entry layer, not as final confirmation. The sharper empirical tests are projected mass response, weak-lensing consistency, merger-offset behaviour, drag-freeness, and population-level stability against standard benchmark profiles. This release includes a public supplement with release manifests, provenance material, source-rights notes, benchmark-workbench records, and derived diagnostic material. The SPARC-based benchmark workbench is used to organize rotation-sector support and stress cases without replacing the still-open object-level projected-geometry tests. NGC 3198 is retained as a weighted spiral support case, NGC 2403 as a stress benchmark, NGC 6503 as the strongest first object-level prediction-lock target, NGC 3741 as a finite-handoff boundary case, and IC 2574 as a soft-halo stress case. Cluster-merger ordering and class-level weak-lensing information are used as external compatibility channels, not as substitutes for future object-level projected-response tests. The technical appendices provide sign audits, local weak-field kernels, route definitions, SPARC workbench details, prefactor and activation diagnostics, projected-geometry protocols, empirical status records, supplement manifests, and a document-local symbol list for Addendum II. The release also sharpens the separation between the signed activation margin 𝓜_act and the sub-threshold separation ratio 𝓢_act, so that dark-halo support is consistently treated as a sub-threshold dark-sector regime rather than as near-activation ordinary matter formation. The result is a more mature dark-sector module within the Berg Theory. It is not presented as final empirical confirmation of dark matter. It is a concrete, benchmark-organized, and falsifiable same-field formulation of dark-halo behaviour, with clear prediction locks and open empirical tests. The decisive next step is whether one and the same reconstruction can carry dynamics, projected geometry, radial prefactor safety, activation separation, and the Addendum IX five-lock interface without object-specific rescue terms. Core article collection DOI: 10.5281/zenodo.17937466 This version DOI: 10.5281/zenodo.20957431 Cite-all-versions DOI: 10.5281/zenodo.17980636