"Or, more specifically, the idea is that
magnetic field lines surrounding Venus may break apart then snap back together, in turn producing bursts of energy exhibited as none other than whistler waves. " - M. Ravisetti, SDC
Magnetic field lines cannot "break apart" or "snap back together". Magnetic field lines do not exist as discrete objects, they are simply mathematical constructs to allow us to easily determine the forces associated with charges that are moving and thus subject to corrections in the static electric field vector due to Relativity.
A magnetic field line is no more complicated than an arrow painted on the Earth's surface to indicate which direction magnetic North is. You cannot have a "broken" field line on Earth. It would represent a spot on Earth where there was no "direction to the north pole". It cannot happen, by definition.
I do not know what is actually going on, but it is definitely not "breaking apart" of field lines..