IMPORTANT:
So, I will be changing the name of THE RECURRENCE! The name itself sounded silly, and I thought that the name BLOODLINE would better suit it considering Aurelia's overall story in the book.
Bloodline can mean family, which connects her to the Gemini Coven and the Heretics. It can also, in the TVD universe, mean the the blood that a vampire had turned on, like how Katherine's blood turned Stefan and Rose's blood turned Katherine, and Klaus' blood turned Rose... and so on.
I hope it made sense!