Funga-B Sealed-Bumba Configuration: Dark Matter Without Exotic Particles — First-Principles Identification of the Cosmic Dark-Sector Mass as a Lawful Hybrid-Type Configuration within Universal Mechanics

Correction notice (2026-05-29). During an audit before release of a recent manuscript, a q-dependent numeric propagation issue was identified in the cosmic cocycle chain. The ensuing investigation traced the cause to a dataset-selected spiral-kernel value and resolved it by deriving the L27 resisted-separation exponent from the kernel closure itself (q = 2/3). This package updates affected q-dependent numeric values while preserving the qualitative structural claims unless explicitly stated. Corrected load-bearing values: εshellcosmic = 0. 997080716651, 1/ε = 1. 002927830516, one Z14 rung width 4. 178%, ΔH0/H0 = 7. 882%, and Λ3 = 0. 851608600601. Prior q=0. 7-dependent values are superseded. Funga-B Sealed-Bumba Configuration: Dark Matter Without Exotic Particles First-Principles Identification of the Cosmic Dark-Sector Mass as a Lawful Hybrid-Type Configuration within Universal Mechanics. This paper reframes the dark-matter problem within the Universal Mechanics / First Utterance Model (UM/FUM) as a structural identification rather than an exotic-particle search. The framework's four-Hybrid-Type taxonomy, derived combinatorially from the Triune partition B + E + S = 1 as 4 = 6 − 2 lawful unordered pairings of B, E, S, identifies one specific configuration — Funga-B (Bumba sealed with Shina substrate, written B + S sealed) — that gravitates without electromagnetic signature. This is precisely the operational definition the dark-matter literature has been seeking: matter that traces the gravitational potential while remaining invisible across the electromagnetic spectrum. Three observational scales are tested in the manuscript, with closed-form derivations matched to observations at sub-3% precision and no fitted parameters: Cosmological aggregate: ΩFB/ΩM = 2φ² = 5. 236, derived from the closure-stability ratio φ alone. Matches the Planck 2018 dark-to-baryon ratio of 5. 38 ± 0. 16 at 2. 8% (Tier 1: derivation + witness). Galactic scale: the three-layer Kact, observed composite law reconstructs all seven Milky Way classical dwarf spheroidals within 7% relative residual, with Fornax matched to 0. 23% under refined post-merger parameters. The empirical MOND constant a0 is structurally identified with gcritical = c·H0/ (2·ωC1) ≈ 1. 042 × 10−10 m/s², eliminating it as a free parameter. The SPARC anti-correlation Spearman (log gbar, log RBCR) = −0. 8269 across 3, 389 radial points emerges from the locked Λ-from-observables map. Cluster scale: an independent two-NFW strong-lensing reconstruction of the Bullet Cluster mass map, built from the publicly-archived Cha et al. 2025 multi-image catalog (Zenodo 10. 5281/zenodo. 15208501) and a weak-lensing shape catalog independently extracted from HST ACS F606W deep imaging, provides κobserved. The framework's prediction κpred = Kact, observed · κbaryonic, computed via the three-layer composite from the JWST F277W stellar-plus-ICL surface density proxy, reproduces the observed lensing topology. The pixel-level κresidual = κobserved − κpred map is included as a derived product. The 8σ plasma-versus-lensing offset (Clowe et al. 2006) and the JWST ICL Hausdorff coincidence with the mass distribution (19. 80 ± 12. 46 kpc; Cha et al. 2025) are structurally accounted for by Funga-B's electromagnetic silence and Channel-3 substrate-coupled gravitational signature. Five falsification surfaces are enumerated: (i) Layer-1 strict positivity (genuinely isolated dwarf galaxies must show Kact, observed ≥ 1) ; (ii) gcritical redshift evolution; (iii) the cosmological dark-to-baryon ratio at sub-percent CMB precision (CMB-S4 forecast) ; (iv) pixel-level Bullet Cluster κpred topology with full Σbaryonic reconstruction including gas; (v) persistent null results from electromagnetic-coupled direct-detection experiments. Each represents a concrete empirical surface against which the framework can be rejected. Comparison to conventional approaches: WIMP/axion paradigms carry multiple free parameters (particle mass, coupling cross-sections, halo profiles) and have produced decades of null direct-detection results. MOND captures the empirical SPARC signature with one free parameter (a0) but does not naturally explain cluster-scale lensing-vs-plasma separation. The framework supplies both: the SPARC anti-correlation via Λ-from-observables, the cluster separation via Funga-B's EM-silence, the cosmological ratio via 2φ² — all with zero free parameters. Reproducibility: the package includes the full LaTeX source of the manuscript, all 12 figures, the FITS-format derived products (κobserved reconstruction, κpred, κresidual, Σbaryonic proxy, weak-lensing shape catalog), the Python reproducibility scripts (lenstronomy SL reconstruction, sep shape measurement, framework three-layer composite pipeline, MAST/Chandra archive acquisition scripts), the source data (CC-BY 4. 0 Cha 2025 SL multi-image catalog), and supplementary BCR collaboration documents. Independent researchers can re-derive every result in the paper from the included scripts and public-archive data. Paper 3 of the seven-paper UM/FUM publication series. Companion papers: Paper 1 — Universal Mechanics: Derivation of Existence from First Utterance + A=A + X=0 (Zenodo DOI 10. 5281/zenodo. 20162810) ; Paper 2 — The Hubble Tension as a Frame-LCORI Cocycle Signature (Zenodo DOI 10. 5281/zenodo. 20190145). Subsequent papers will develop the Z14 universal phase quantization (Paper 4), thermodynamics as Triune-partition projection (Paper 5), consciousness as LCORI alignment (Paper 6), and clinical biomarkers for cellular LCORI Life Collapsing (Paper 7). Patent Pending — USPTO Application No. 19/640, 364. The framework's structural primitives, the Triune partition law, the LCORI alignment scalar, the Hybrid Types taxonomy, the Kact amplitude law and its three-layer decomposition, the four-channel ledger, the Umoja Lattice Tension identification, the substrate-saturation threshold gcritical, and the Funga-B identification of cosmic dark matter are intellectual property of the named inventor under pending United States patent.