Parity Violation and Magnetic Helicity on Cosmological Scales: From Turbulent Baryogenesis to Galaxy Clusters

Using results of numerical simulations and the CMB data obtained by the Planck satellite mission, Atacama cosmology telescope, and Baryon Oscillation Spectroscopic Survey it is shown that chaotic/turbulent parity violation localized in long-lived magnetic blobs dominated by magnetic helicity takes place at cosmological lepto/baryogenesis. Analogous phenomenon has also been confirmed for magnetic fields in galaxy clusters. Despite the vast differences in the values of physical parameters and spatio-temporal scales between the numerical simulations and the cosmic observations, there is a quantitative agreement between the results of the cosmic observations and the numerical simulations in the frames of the distributed chaos notion.