Self Sustained Traversable Wormholes?

TL;DR

This paper investigates whether quantum graviton fluctuations can sustain traversable wormholes by calculating the one-loop energy contribution and considering it as a self-consistent source within a regularized and renormalized framework.

Contribution

It introduces a method to compute the graviton one-loop energy in a wormhole background using variational and zeta function regularization techniques, proposing a self-consistent quantum support for wormholes.

Findings

Finite one-loop energy can act as a self-sustaining source for traversable wormholes.

The variational approach with Gaussian trial wave functionals effectively evaluates quantum corrections.

Regularization and renormalization are essential to handle divergences in quantum gravitational calculations.

Abstract

We compute the graviton one loop contribution to a classical energy in a traversable wormhole background. Such a contribution is evaluated by means of a variational approach with Gaussian trial wave functionals. A zeta function regularization is involved to handle with divergences. A renormalization procedure is introduced and the finite one loop energy is considered as a self-consistent source for the traversable wormhole.