Abstract
We study a holographic model of an EPR pair at the boundary of bulk gravity, and use Bell inequality as a sharp test of entanglement. By revealing how Bell inequality is violated by gravity in the bulk, our study sheds light on the entanglement of the original ER=EPR conjecture.
Highlights
This proceeding is mainly base on [1], where the Bell inequality from holographic gravity is constructed
Correlations in local classical theories are bounded by the Bell inequality, it can be violated by the presence of the non-local entanglement in quantum mechanics [2]
The violation of Bell inequality in the entangled EinsteinPodolsky-Rosen (EPR) pair [3] indicates that two particles have an “instant interaction”, in contrast to the hidden variable theories that preserve strict locality [2,3,4,5,6]
Summary
This proceeding is mainly base on [1], where the Bell inequality from holographic gravity is constructed. The ER=EPR conjecture is proposed by Maldacena and Susskind [10, 11] It stated that the quantum entanglement of the EPR pair can be attributed to the non-traversable Einstein-Rosen (ER) bridge that connects the pair [12]. This conjecture was proposed to resolve the black hole information paradox without resorting to a firewall [13] surround the black hole horizon. The two particles of the boundary EPR pair are connected by a string in the AdS background of the bulk, with an effective ER bridge on the string worldsheet This is a holographic realization of ER=EPR conjecture. In the same spacetime dimensions, our study does shed light on how entanglement can be captured by a classical theory
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