Asymptotic Throat: The Geometric Inevitability of Regular Black Holes

TL;DR

This paper introduces the concept of an asymptotic throat as a geometric feature that replaces black hole singularities with a minimal length, avoiding complex topologies and maintaining key physical properties.

Contribution

It formalizes the asymptotic throat as a universal geometric inevitability and provides a regularization framework for constructing regular black hole models.

Findings

Replaces singularity with an asymptotic throat avoiding topology change

Constructs explicit regular black hole examples with physical sources

Shows surface gravity and Hawking temperature are preserved

Abstract

We reveal that a fundamental minimal length naturally replaces the Schwarzschild singularity with future infinity, formalizing the ``asymptotic throat'' as a geometric inevitability. This scheme avoids the topology changes, multiple horizons, and universe towers characteristic of existing regular black hole models. We establish a general regularization framework, construct explicit examples with their physical sources, and show that the surface gravity and Hawking temperature remain unaltered. The asymptotic throat thus provides a pristine classical bedrock for future quantum gravity investigations.