Firewalls from wormholes in higher genus

An old black hole can tunnel into a white hole/firewall by emitting large baby universes. This phenomenon was investigated in Jackiw-Teitelboim (JT) gravity for genus one. In this paper, the focus is on higher genus corresponding to emitting more than one baby universe (n > 1). The probability of encountering a firewall or tunneling into a white hole after emitting n baby universes is proportional to $e^{-2\mathit{nS}\left(E\right)}{e}^{4\pi \sqrt{E}\left(n-1\right)}{E}^{2n^2-n-9/2}{t}^{4n^2-2n-5}$ \( {e}^{-2 nS(E)}{e}^{4\pi \sqrt{E}\left(n-1\right)}{E}^{2{n}^2-n-9/2}{t}^{4{n}^2-2n-5} \) , where t is the age of the black hole, and S and E represent the entropy and energy of the black hole, respectively.