Black-hole bombs at the LHC

TL;DR

This paper demonstrates that higher-dimensional black holes at the LHC can form black-hole bombs through superradiant amplification, potentially leading to observable amplified fields if the black hole's lifetime exceeds the amplification timescale.

Contribution

It extends the concept of black-hole bombs to higher-dimensional black holes potentially produced at the LHC, analyzing conditions for observable field amplification.

Findings

Higher-dimensional black holes can form black-hole bombs at the LHC.

The e-folding time for field amplification is approximately 10^{-23} to 10^{-24} seconds.

Amplified fields could be observed if black hole lifetime exceeds amplification timescale.

Abstract

A particle scattered off by a rotating black hole can be amplified when the system is in the superradiant regime. If the system is surrounded by a mirror which reflects the particle back to the black hole the whole system forms a black-hole bomb, amplifying the original field exponentially. We show in this paper that higher dimensional black holes can also form black-hole bombs at the LHC. For a pion the $e$-folding time for the field amplification is $t_c\sim 10^{-23}-10^{-24}$ sec. If the lifetime of the black hole is long enough compared with $t_c$, we can observe severely amplified fields.