English

Einstein-Rosen bridge from the minimal length

General Relativity and Quantum Cosmology 2023-04-13 v1 High Energy Physics - Theory

Abstract

We use a string T-duality corrected pair of regular black holes to construct an Einstein-Rosen (ER) bridge with the wormhole throat proportional to the zero-point (Planck) length. This may be a geometric realization of quantum entanglement for particle/antiparticle pairs. We point out that for an extreme mass configuration consisting of a black hole pair, one can have an ER bridge with a horizon area that coincides with the Bekenstein minimal area bound along with a wormhole mass proportional to the Planck mass. This could be related to gravitational self-completeness with quantum mechanical mass limits. We also discuss the ER bridge for sub-Planckian mass horizonless wormholes and show this admits a region of negative energy at the throat, which we posit to be related to a particle of negative mass generated by quantum fluctuations or the Casimir effect. We argue that Hawking radiation could be the best way for the geometric realization of quantum entanglement for particle/antiparticle pairs emitted by black holes. This sheds new light on the ER=EPR conjecture.

Keywords

Cite

@article{arxiv.2304.05408,
  title  = {Einstein-Rosen bridge from the minimal length},
  author = {Kimet Jusufi and Emmanuel Moulay and Jonas Mureika and Ahmed Farag Ali},
  journal= {arXiv preprint arXiv:2304.05408},
  year   = {2023}
}

Comments

9 pages, published in EPJC

R2 v1 2026-06-28T10:00:24.024Z