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nomadreid
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The questions concern the extension of the holographic principle to the identification of a wormhole between two black holes with negative cosmological constant and an entangled pair on its boundary, included in the conjecture known as EPR=ER ( Maldacena, Susskind). I refer to https://www.nature.com/news/the-quantum-source-of-space-time-1.18797 and https://en.wikipedia.org/wiki/AdS/CFT_correspondence.
My three questions:
(a) since anti-de Sitter space does not correspond to our physical universe, is this theory meant to be anything more than a handy calculating tool? That is, there would not be any such wormholes in our physical space, so this would not directly explain any physical phenomenon. ??
(b) The boundary referred to is for anti-de Sitter space, but since it seems no one has figured out how to define a boundary for de Sitter space, then this would be another reason not to extend this correspondence directly to physical phenomena. ??
(c) OK, given that the correspondence exists. But the entangled pair on the boundary are connected by a non-causal link, where it is meaningless to talk about what would constitute the "between" in the link, whereas the wormhole connection between the two black holes would be a space in which a "between" in which causal links would make sense. How does this discrepancy wash out in the correspondence?
Any indication for any of these questions would be greatly appreciated.
My three questions:
(a) since anti-de Sitter space does not correspond to our physical universe, is this theory meant to be anything more than a handy calculating tool? That is, there would not be any such wormholes in our physical space, so this would not directly explain any physical phenomenon. ??
(b) The boundary referred to is for anti-de Sitter space, but since it seems no one has figured out how to define a boundary for de Sitter space, then this would be another reason not to extend this correspondence directly to physical phenomena. ??
(c) OK, given that the correspondence exists. But the entangled pair on the boundary are connected by a non-causal link, where it is meaningless to talk about what would constitute the "between" in the link, whereas the wormhole connection between the two black holes would be a space in which a "between" in which causal links would make sense. How does this discrepancy wash out in the correspondence?
Any indication for any of these questions would be greatly appreciated.
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