The Chiral Filter: Deriving the Baryon Asymmetry (η∼10−10) from Geometric Frustration in the Vacuum Lattice

The observed universe is overwhelmingly dominated by matter, with a measured baryon-to-photon ratio of η ≈6 ×10−10. Standard kinematic CP-violation is in- sufficient by several orders of magnitude to explain this profound asymmetry. We propose a purely topological mechanism for Baryogenesis rooted in Bulk-Boundary Correspondence within a discrete vacuum. In the Selection-Stitch Model (SSM), the 3D Face-Centered Cubic (K = 12) vacuum bulk perfectly obeys the Nielsen- Ninomiya theorem, preserving CP symmetry and supporting both chiralities equally as thermal radiation. However, stable mass requires the topological anchoring of geometric defects onto 2D holographic boundaries. Because 2D spatial boundaries inherently break spatial inversion symmetry, they act as an absolute “Chiral Filter”: Left-handed knots (matter) constructively anchor, while Right-handed knots (anti- matter) experience topological frustration and are reflected back into the 3D bulk as symmetric photons. The Baryon Asymmetry is therefore not an arbitrary kine- matic parameter, but the strict thermodynamic phase-space partition between the 2D boundaries and the 3D bulk at the moment of crystallization. While a full non- equilibrium kinematic derivation remains an open problem, a heuristic topological phase-space estimate yields an anchoring suppression factor of∼10−10, remarkably consistent with Planck 2018 observations.