Horizon Quantum Mechanics: spherically symmetric and rotating sources

TL;DR

This paper explores the mathematical structure of horizon quantum mechanics, extending it to rotating sources and discussing challenges in analyzing non-spherical configurations.

Contribution

It provides an extension of horizon quantum mechanics to rotating black holes and discusses technical difficulties in local analysis for non-spherical sources.

Findings

Extended formalism to include rotating black holes

Identified challenges in local analysis for non-spherical sources

Reviewed the structure of horizon wave-function formalism

Abstract

In this paper we discuss some mathematical aspects of the horizon wave-function formalism, also known in the literature as horizon quantum mechanics. In particular, first we review the structure of both the global and local formalism for static spherically symmetric sources. Then, we present an extension of the global analysis for rotating black holes and we also point out some technical difficulties that arise while attempting the local analysis for non-spherically symmetric sources.