A lower bound on the Bekenstein–Hawking temperature of black holes

We present evidence for the existence of a quantum lower bound on the Bekenstein–Hawking temperature of black holes. The suggested bound is supported by a gedanken experiment in which a charged particle is dropped into a Kerr black hole. It is proved that the temperature of the final Kerr–Newman black-hole configuration is bounded from below by the relation TBH×rH>(ħ/rH)2TBH×rH>(ħ/rH)2, where rHrH is the horizon radius of the black hole.