Abstract: This document presents the complete 27-particle structural matrix of the Annihilation Cosmology framework. It serves as the direct phenomenological output of the epistemological boundaries defined in A Fifth Paralogism (DOI: 10.5281/zenodo.20837897) and the foundational discrete mathematics established in AC Math V2.4 (DOI: https://zenodo.org/records/20838412). Operating strictly as a Generative, Scale-Invariant, Closed Geometric Architecture, this matrix rejects the continuous gauge symmetries and empirical free parameters of the standard model. Instead, particle mass, charge, and chirality emerge entirely through the geometric necessity of an 11.2-dimensional topological lattice. This matrix perfectly houses the 12 established fermions of the standard visible manifold (VW chirality) while structurally requiring the integration of 4 undocumented bosons and 6 undocumented fermions (the Nylons). By isolating the Nylons under a distinct Dark Matter (DM) chirality marker, the framework dictates strict geometric boundaries for dark sector interactions and formally establishes the structural necessity of 1/6 and 5/6 fractional charges. Furthermore, this discrete architecture successfully maps direct geometric retrodictions to unresolved standard model anomalies, including: The ~1 TeV Cosmological Mass Deficit: Replaces the standard establishment's failed, parameter-driven search for a ~1000 GeV neutral WIMP. The framework structurally derives the Lotylon at ~973 GeV/c², supplying the precise required mass while remaining entirely isolated from standard electromagnetic detection through geometric Dark Matter (DM) chirality rather than electrical neutrality. The 3.34 keV/c² X-ray Anomaly: Hard-coded into the fundamental geometry as the Kapylon. The 28 GeV/c² CMS Shear: Mapped directly onto the Higgs ab scalar node, derived from a structural tri-part splitting of the Higgs mechanism (ab, bc, ca) that inherently prevents continuous infinite loops. This matrix represents a complete, parameter-free alignment of observed phenomena within a permanently locked discrete topology. Contact the Author regarding the Annihilation Cosmology framework at: [DavidMcClean@protonmail.com] or David McClean - Splat Cosmology