Supporting traversable wormholes: the case for noncommutative geometry

TL;DR

This paper explores how noncommutative geometry from string theory can potentially support traversable wormholes by addressing energy condition violations and tension issues, providing refined arguments and a complete solution.

Contribution

It refines previous arguments and derives a complete wormhole solution using noncommutative geometry, advancing the theoretical understanding of traversable wormholes.

Findings

Noncommutative geometry can support wormholes without exotic matter.

A complete wormhole solution consistent with noncommutative geometry is obtained.

Addresses the tension and energy condition issues in wormhole physics.

Abstract

While wormholes may be just as good a prediction of Einstein's theory as black holes, they are subject to severe restrictions from quantum field theory. In particular, a wormhole can only be held open by violating the null energy condition, calling for the existence of "exotic matter." An equally serious problem is the enormous radial tension at the throat of a typical Morris-Thorne wormhole unless the wormhole has an extremely large throat size. It has been proposed that noncommutative geometry, an offshoot of string theory, may be the proper tool for addressing these issues. The purpose of this paper is two-fold: (1) to refine previous arguments to make a stronger and more detailed case for this proposal and (2) to obtain a complete wormhole solution from the given conditions.