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Extensivity Versus Holography in Anti-de Sitter Spaces
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We study the dimensionality manifested in the AdS/CFT correspondence. We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level. The emergence of the AdS black hole as a master field at high temperature leads to the screening of the extra dimensions in its excluded volume.
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A Note on Black Hole Entropy and Wormhole Instabilities
A microcanonical treatment of Euclidean wormhole overlap integrals removes Jeans and GPY instabilities and yields the expected black hole entropy without spurious phases.
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