Non-locally Reconstructed both Sides of Wormhole and its Non-Traversability

Abstract: The theoretical implications of a traversable wormhole between entangled black holes are significant in terms of non-locality and superluminal signaling. By utilizing the entangled states of two maximally entangled black holes, it becomes possible to construct a wormhole. In this context, the traversable wormhole can be achieved by exciting the vacuum state of the near-horizon region of one black hole, allowing for the transmission of information to an observer situated in the near-horizon region of the other black hole through the wormhole. However, the occurrence of this phenomenon is restricted when the near-horizon regions of the black holes undergo a non-local reconstruction, which is referred to as the ER=EPR correspondence. We argue that this correspondence imposes a fundamental limitation on the potential traversability of wormhole and the occurrence of superluminal signaling.