Realization of "ER=EPR"

TL;DR

This paper concretely demonstrates the ER=EPR conjecture by deriving Einstein-Rosen bridges from quantum entanglement in a thermofield double state, linking spacetime geometry with entanglement entropy.

Contribution

It provides a explicit, computable realization of ER=EPR, connecting wormhole geometry with quantum entanglement and verifying spacetime emergence from entanglement.

Findings

Explicit derivation of Einstein-Rosen bridge from entanglement

Identification of Bekenstein-Hawking entropy as entanglement entropy

Quantitative verification of spacetime emergence conjecture

Abstract

We provide a concrete and computable realization of the $ER=EPR$ conjecture, by deriving the Einstein-Rosen bridge from the quantum entanglement in the thermofield double CFT. The Bekenstein-Hawking entropy of the wormhole is explicitly identified as an entanglement entropy between subsystems of the thermofield double state. Furthermore, our results provide a quantitative verification of Van Raamsdonk's conjecture about spacetime emergence.