New Statistical Topology Theory Predicts Turbulent Magnetic Emergence and Energy Outburts

We propose and verify a new statistical topology framework to study the complex magnetic field evolution of Sun-like stars, and energy outbursts in power-law probability distributions. This new framework consider self-similar topological structures as a statistical ensemble, and derive new power-law scalings for fundamental quantities such as magnetic flux, helicity, and energy in outbursts. This new framework not only successfully predicts magnetic emergence on the Sun, but also shed light on the coronal heating problem by reconciling the nanoflare theory with previous challenging observations. Part of this presenatation is published as (Xiong et. al., ApJ, 2025), while part of the work is still under consideration by journal publication by the time of this abstract submission.