https://doi.org/10.1140/epjc/s10052-023-11465-3
Regular Article - Theoretical Physics
Einstein-Rosen bridge from the minimal length
1
Physics Department, State University of Tetovo, Ilinden Street nn, 1200, Tetovo, North Macedonia
2
XLIM (UMR CNRS 7252), Université de Poitiers, 11 bd Marie et Pierre Curie, 86073, Poitiers Cedex 9, France
3
Department of Physics, Loyola Marymount University, 1 LMU Drive, 90045, Los Angeles, CA, USA
4
Essex County College, 303 University Ave, 07102, Newark, NJ, USA
5
Department of Physics, Faculty of Science, Benha University, 13518, Benha, Egypt
Received:
11
February
2023
Accepted:
2
April
2023
Published online:
10
April
2023
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.
© The Author(s) 2023
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