structural:summarization, linguistic:voice_change, structural:expansion, quality:correction
GISR mechanism resolution to the paradox

The first term on the right hand side is a matrix representation of microscopic states of black holes no heavier than the initial one, each w i {\displaystyle w^{i}} is w {\displaystyle w} -times degenerated. The second term describes the vacuum fluctuation of particles around the black hole. The third term couples the two, so that for each vacuum mode whose energy matches the mass difference between two states of the black hole, transition happens with an amplitude proportional to the similarity factor between the initial and final black hole microcopical state. Transitions from higher energy state w i {\displaystyle w^{i}} to lower energy state w − ⋯ k {\displaystyle w_{-\cdots }^{k}} and the inverse, are equally permitted at the Hamiltonian level. This coupling mimics the photon-atom interaction of Jaynes–Cummings model in atomic physics, replacing the vector potential of photons with the mass-energy of hawking particles, and the dipole moment of initial-to-final transitions in atoms with the similarity factor of initial and final states of black holes.