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Statistical Entropy of De Sitter Space

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arxiv gr-qc/9801096 v2 pith:5VZKR7TA submitted 1998-01-29 gr-qc hep-th

classification gr-qchep-th
keywords sitterentropyspacegaugestatisticaltheoryadaptedagreement
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Quantum gravity in 2+1 dimensions with a positive cosmological constant can be represented as an SL(2,C) Chern-Simons gauge theory. The symmetric vacuum of this theory is a degenerate configuration for which the gauge fields and spacetime metric vanish, while de Sitter space corresponds to a highly excited thermal state. Carlip's approach to black hole entropy can be adapted in this context to determine the statistical entropy of de Sitter space. We find that it equals one-quarter the area of the de Sitter horizon, in agreement with the semiclassical formula.

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Cited by 1 Pith paper

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  1. Holography in flipped AdS/$\mathbb{Z}$: Another approach to dS holography

    hep-th 2026-08 conditional novelty 5.0 of 10

    Quantum field theories in de Sitter space and in a signature-flipped compact-time spacetime (fAdS) are related by analytic continuation, and the proposed fAdS/fCFT holographic dictionary reproduces de Sitter horizon e...

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