Magnetic winding – a key to unlocking topological complexity in flux emergence

Magnetic helicity is an invariant of ideal magnetohydrodynamics (MHD) that encodes information on the topology magnetic field lines. It has long been appreciated important constraint for evolution fields in MHD. In applications to solar atmosphere, understanding crucial following and eruption fields. At present, flux can be measured observations but interpretation results difficult due combination confounding factors. We propose a renormalization flux, winding, used detect more detailed topological features thus provide reliable signature predicting onset eruptions.