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Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
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We explore the relationship between classical quasinormal mode frequencies and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of Hod, we identify the real part of the quasinormal frequencies with the fundamental quanta of black hole mass and angular momentum. We find that this identification leads to the correct quantum behavior of the asymptotic symmetry algebra, and thus of the dual conformal field theory. Finally, we suggest a further connection between quasinormal mode frequencies and the spectrum of a set of nearly degenerate ground states whose multiplicity may be responsible for the Bekenstein-Hawking entropy.
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Cited by 2 Pith papers
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Hawking radiation from black holes in 2+1 dimensions
Black hole horizons in 2+1D are composed of quantized length quanta 8π ℓ_P n, producing entropy near the Bekenstein-Hawking value and a local Hawking spectrum via a length ensemble.
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Hawking radiation from black holes in 2+1 dimensions
In 2+1 dimensions, black hole horizons are quantized into lengths 8π ℓ_P n, from which a length ensemble directly yields the Hawking blackbody spectrum with Tolman-modified temperature.
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