# Topological surgery in the small and in the large

## TL;DR

This paper explores the connection between topological surgeries in three-dimensional space and phenomena like black holes and wormholes, bridging topology with physical theories and opening new avenues in geometrical physics.

## Contribution

It introduces a novel perspective linking topological surgery to astrophysical phenomena, expanding the interdisciplinary understanding between mathematics and physics.

## Key findings

- Topological surgery models black hole formation.
- Wormholes are represented through specific topological changes.
- Establishes a new framework for geometrical physics applications.

## Abstract

We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology and natural sciences and creates a new platform for exploring geometrical physics.