Geometric baryogenesis from persistent topology of cMERA

Abstract This study investigates the baryon asymmetry arising from the entangled structure of spacetime, aiming to elucidate the imbalance of matter and antimatter as a precursor to conventional quantum field CP violation. This study focuses on fractal entangled cosmology and its implications for baryogenesis, particularly during epochs of cosmic inflation and structural formation. A unified numerical framework was developed to validate a two-stage geometric baryon production mechanism comprising (i) topological seeds during inflation and (ii) amplification in the structure formation era. Complementary simulations using persistent homology and vortex dynamics confirmed the presence of an RG-stable topological substrate, robust parity-odd signature, and geometric capture as mechanisms for antimatter suppression. The findings reveal how local fractal dimensional fields encode the entanglement depth, resulting in chiral asymmetry through coupling with entropy gradients. Notably, this mechanism operates prior to the establishment of traditional quantum field theory, suggesting that CP violation can occur within the underlying spacetime structure. The results enhance the understanding of baryon asymmetry, indicating that the geometric and topological properties can effectively suppress antimatter.