The normal modes occur from the small arc approximation I employ. This results in Hermite polynomial solutions that correspond to quantum harmonic oscillator modes. This segues into the concept of normal modes, at least as an approximation, as a description of black hole quantum mechanics. A full set of solutions is obviously bewilderingly complex, but I don't think these dominate the made features of quantum black holes.
A part of the idea is that in black hole coalescence so called quantum hair or quantum topological charge associated with event horizons is magnified and emitted within gravitational radiation. It may be possible to detect this with LISA or the ESA eLISA. This will occur in signatures of so called gravitational memory.
I read Maryam's papers back in 2014 when she won the Fields Medal. At the time the thought occurred to me that this may have some important role in physics. When she died July 14 last year I was sort of angered and depressed about this, given how news of the world of late has been a bit sour. Then later this idea on how this might connect with quantum hair and the RT formula. So for several months I worked pretty hard on this. This paper is based on a loose set of notes and writing I did on this last October. I decided to fold this into an FQXi paper, even though I really thought I would no longer submit papers to these contests.
Cheers LC