Exactly Soluble Quantum Wormhole in Two Dimensions

TL;DR

This paper presents an exactly solvable two-dimensional quantum wormhole model where quantum energy acts as the exotic matter, demonstrating the potential for quantum effects to support traversable wormholes.

Contribution

It introduces a novel exactly soluble 2D quantum wormhole model where quantum energy replaces classical exotic matter, advancing theoretical understanding of quantum gravity.

Findings

Quantum energy can support traversable wormholes.

Back reaction affects wormhole stability after traversal.

The model maintains initial structure with suitable boundary conditions.

Abstract

We are presenting a quantum traversable wormhole in an exactly soluble two-dimensional model. This is different from previous works since the exotic negative energy that supports the wormhole is generated from the quantization of classical energy-momentum tensors. This explicit illustration shows the quantum-mechanical energy can be used as a candidate for the exotic source. As for the traversability, after a particle travels through the wormhole, the static initial wormhole geometry gets a back reaction which spoils the wormhole structure. However, it may still maintain the initial structure along with the appropriate boundary condition.