Swampland Statistics for Black Holes

TL;DR

This paper develops a statistical framework based on the swampland conjecture to analyze black hole stability, remnants, and instabilities, providing new bounds and suppression mechanisms for black hole phenomena.

Contribution

It introduces a novel inequality inspired by the Pauli principle to verify black hole instabilities within the swampland program, and applies it to various black hole scenarios.

Findings

Agreement of the characteristic function with the weak gravity conjecture

Upper bounds on black hole mass scale consistent with literature

Suppression of remnant production and prohibition of naked singularities

Abstract

In this work, we approach certain black hole issues, including remnants, by providing a statistical description based on the weak gravity conjecture in the swampland program. Inspired by the Pauli exclusion principle in the context of the Fermi sphere, we derive an inequality which can be exploited to verify the instability manifestation of non-supersymmetric four dimensional black holes via a characteristic function. For several species, we show that this function is in agreement with the weak gravity swampland conjecture. Then, we deal with the cutoff issue as an interval estimation problem by putting an upper bound on the black hole mass scale matching with certain results reported in the literature. Using the developed formalism for the proposed instability scenarios, we provide a suppression mechanism to the remnant production rate. Furthermore, we reconsider the stability study of the Reissner-Nordstrom black holes. Among others, we show that the proposed instabilities prohibit naked singularity behaviors