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Holographic principle and Wheeler's bag of gold

Physics Asked by user33923 on January 18, 2021

How is it possible to explain “bag of gold” spacetimes (see Marlof) such that the ideas are compatible with AdS/CFT and the holographic principle?

One Answer

A recent paper has the following proposal on the nature of the interior excitations: excitations in the interior placed however far apart from each other are not really independent excitations but two such seemingly independent excitations in semiclassical gravity in the bulk $AdS$ side have extremely small inner products between them, which can be seen from the $CFT$ side. Thus even if there are a huge number of interior excitations, the Bekenstein Hawking entropy correctly calculates the dimension of the Hilbert space of the black hole, and semiclassical excitations in the interior live in this Hilbert space in an overcomplete basis. Treatment of these semiclassical states as independent is what leads to the overcounting and consequently, the apparent violation of Bekenstein Hawking entropy.

Answered by Bruce Lee on January 18, 2021

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