The Antimatter Resolution: Geometric Sorting and Twin-Sector Closure in Six-Throat Directed Geometry

Paper XII of the Six-Throat Directed Geometry program develops a geometric resolution of the matter-antimatter asymmetry problem within the previously established six-throat spacetime. The model identifies positive and negative directed-sector polarization with matter-sector and antimatter-sector material while retaining positive mass-energy in both sectors. A statistically parity-symmetric birth law allows finite realization-level imbalance without requiring exact pairwise neutrality. The Zero Region acts as a coherence-dependent geometric sorter: sufficiently coherent packets are returned to their native directed sector before opposite-sector overlap, while coherence-deficient material enters the inherited throat-processing hierarchy. The protected channel yields an exact hard-support annihilation shield and a calculable finite-width overlap suppression. A selected residual stream can reach the outer mixed interface, where pair annihilation removes the symmetric component, preserves the signed residual, and drives the surviving material toward unit sector purity. Coupling that residual to the conserved global return current produces a stable finite unequal-feed fixed point. The fourteen-face completion is interpreted as a Twin-Sector Closure: two reflection-related directed cosmological sectors embedded within one connected closed spacetime. Conservative local redistribution of axial angular momentum enables the outer return while preserving total angular momentum and total sector charge. The accompanying reproducibility and independent-validation programs reconstruct the numerical witnesses, figures, conservation tests, sorting thresholds, fixed-point stability, and return-compatibility diagnostics.