Topological Baryogenesis in T^6/Z_3: CP Violation and Matter-Antimatter Asymmetry from Homological Phase Invariants

The observed cosmic baryon asymmetry (eta_B ~ 6.1 x 10^-10) remains an unsolved problem in standard cosmology. In this work, we demonstrate that the fundamental Sakharov conditions for baryogenesis are satisfied topologically through the internal geometry of the compact 6D T^6/Z_3 orbifold. CP violation is intrinsically generated by non-zero complex phases in the intersection matrix of the 36 homological 3-cycles H_3(T^6/Z_3, Z). Out-of-equilibrium dynamics occur during the rapid cooling phase during the stabilization of the local moduli T_s at the 27 fixed A_2 singular points. This yields a net baryon-to-photon ratio determined entirely by geometric invariants without requiring ad-hoc high-energy inflation fields.