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arXiv · 2409.02951

PT-symmetry in one-way wormholes

Pascal Koiran·Hicham Zejli·J-P Levy·Florent Margnat·M-F Duval·Hasnae Zejli
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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.

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Pascal Koiran, Hicham Zejli, J-P Levy, Florent Margnat, M-F Duval, Hasnae Zejli. 2024-09-01. PT-symmetry in one-way wormholes. https://doi.org/10.1016/j.aop.2024.169765

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