PT-symmetry in one-way wormholes

TL;DR

This paper explores PT-symmetry in a modified, traversable Einstein-Rosen bridge acting as a one-way wormhole, proposing a bimetric model to realize sheet identification and potential observable effects.

Contribution

It introduces a PT-symmetric property in a modified wormhole and proposes a bimetric model for sheet identification, advancing understanding of traversable wormholes.

Findings

Particle exhibits PT-symmetry crossing the throat

Proposed bimetric model for sheet identification

Potential observable effects from PT-symmetry

Abstract

In a recent paper, we studied a modified version of the Einstein-Rosen bridge. This modified bridge is traversable and works as a one-way membrane: a particle on the first sheet falling toward the throat will reach it in finite time (in Eddington coordinates), and will continue its trajectory on the second sheet. In this paper, we show that the particle undergoes a PT-symmetry as it crosses the throat. This could lead to observable effects thanks to an additional ingredient proposed by Einstein and Rosen: congruent points on the two sheets are identified. We propose a bimetric model to realize this identification for our modified bridge.