Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry

TL;DR

This paper transforms a noncommutative geometry inspired Schwarzschild solution into a coordinate system that removes singularities and reveals a complex structure of multiple universes connected by black hole tunnels.

Contribution

It provides a maximal singularity-free extension of the noncommutative Schwarzschild spacetime, uncovering a novel lattice of universes connected through black hole tunnels.

Findings

Removal of apparent singularities in the metric

Discovery of an infinite lattice of universes

Identification of black hole tunnels connecting universes

Abstract

We derive a transformation of the noncommutative geometry inspired Schwarzschild solution into new coordinates such that the apparent unphysical singularities of the metric are removed. Moreover, we give the maximal singularity-free atlas for the manifold with the metric under consideration. This atlas reveals many new features e.g. it turns out to describe an infinite lattice of asymptotically flat universes connected by black hole tunnels.