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Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy

Mu-In Park
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Abstract

The holographic principle is tested by examining the logarithmic and higher order corrections to the Bekenstein-Hawking entropy of black holes. For the BTZ black hole, I find some disagreement in the principle for a holography screen at spatial infinity beyond the leading order, but a holography with the screen at the horizon does not, with an appropriate choice of a period parameter, which has been undetermined at the leading order, in Carlip's horizon-CFT approach for black hole entropy in any dimension. Its higher dimensional generalization is considered to see a universality of the parameter choice. The horizon holography from Carlip's is compared with several other realizations of a horizon holography, including induced Wess-Zumino-Witten model approaches and quantum geometry approach, but none of the these agrees with Carlip's, after clarifications of some confusions. Some challenging open questions are listed finally.

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Mu-In Park. 2004-12-17. Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy. https://doi.org/10.1088/1126-6708%2F2004%2F12%2F041

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