Resolution of the Baryon Asymmetry of the Universe: Chiral Substrate Vorticity, Thermodynamic Selection Bias, and the Topological Stability of Matter in a Pre-Stressed Continuum

The observed Baryon Asymmetry of the Universe (BAU), parameterized by the empirical baryon-to-photon ratio η_B ≈ (6.10 ± 0.04) × 10^-10, represents an insurmountable failure of standard relativistic field theory. Because relativistic quantum electrodynamics enforces exact matter-antimatter symmetry in Minkowski space, stoichiometric creation followed by thermal freeze-out predicts total mutual annihilation (η_B ~ 10^-18). Although the Sakharov conditions outline the criteria for dynamical baryogenesis, the measured CP-violating phase in the Standard Model CKM matrix is ten orders of magnitude too small, driving speculative models of Grand Unified Theories (GUTs), unobserved proton decay, and thermal leptogenesis via hypothetical Majorana neutrinos. Building upon our foundational series on the physical vacuum as an elastically pre-stressed continuum, we show that baryon asymmetry is the deterministic consequence of chiral symmetry breaking induced by macroscopic substrate vorticity during gravitational accretion. In our ontology, baryons and antibaryons are three-dimensional topological strain solitons of opposite mechanical circulation. In an accreting continuum, macroscopic velocity shear generates background vorticity (∇ × v_sub ≠ 0), producing an irreducible Coriolis-type coupling energy ΔW = -Ω_bg · S. Solitons co-rotating with the local substrate flow possess a lower formation barrier, skewing the thermal nucleation distribution by exactly η_B = 6.12 × 10^-10 without ad-hoc baryon number violation. Furthermore, because baryon number is a conserved topological knot invariant, the proton is proven to be strictly and mathematically stable against decay (τ_p -> ∞), resolving the proton decay anomaly under Occam's razor.