Traversable wormholes in four dimensions

TL;DR

This paper constructs a four-dimensional traversable wormhole solution within Einstein-Maxwell theory, stabilized by charged massless fermions, which can be embedded in the Standard Model without causality violations.

Contribution

It introduces a novel four-dimensional traversable wormhole solution stabilized by fermions, linking black hole entanglement and Standard Model embedding.

Findings

Wormhole is stabilized by negative Casimir-like energy from fermions

Solution does not violate causality in ambient space

Can be embedded in the Standard Model at small scales

Abstract

We present a wormhole solution in four dimensions. It is a solution of an Einstein Maxwell theory plus charged massless fermions. The fermions give rise to a negative Casimir-like energy, which makes the wormhole possible. It is a long wormhole that does not lead to causality violations in the ambient space. It can be viewed as a pair of entangled near extremal black holes with an interaction term generated by the exchange of fermion fields. The solution can be embedded in the Standard Model by making its overall size small compared to the electroweak scale.