Macroscopic traversable wormholes with zero tidal forces inspired by noncommutative geometry

TL;DR

This paper explores the theoretical possibility of macroscopic traversable wormholes with zero tidal forces within a noncommutative geometry framework, highlighting conditions under which such wormholes can exist without violating quantum field theory.

Contribution

It demonstrates that noncommutative geometry allows for zero tidal force wormholes and discusses their compatibility with physical energy conditions.

Findings

Classical energy density incompatible with quantum field theory.

Noncommutative geometry enables zero tidal force wormholes.

Violates null energy condition in noncommutative geometry context.

Abstract

This paper addresses the following issues: (1) the possible existence of macroscopic traversable wormholes, given a noncommutative-geometry background, and (2) the possibility of allowing zero tidal forces, given a known density. It is shown that whenever the energy density describes a classical wormhole, the resulting solution is incompatible with quantum field theory. If the energy density originates from noncommutative geometry, then zero tidal forces are allowed. Also attributable to the noncommutative geometry is the violation of the null energy condition. The wormhole geometry satisfies the usual requirements, including asymptotic flatness.