Black hole state counting in loop quantum gravity: a number-theoretical approach.
Black hole state counting in loop quantum gravity: a number-theoretical approach.
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圈量子引力中的黑洞态计数：一种数论方法。
DOI：
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发表时间：
2008
影响因子：
8.6
通讯作者：
Eduardo J S Villaseñor
中科院分区：
文献类型：
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作者：
I. Agulló;J. Barbero G.;Jacobo Díaz;Enrique Fernández;Eduardo J S Villaseñor
结合数论和组合思想，给出了一种在圈量子引力框架下精确计算黑洞熵的有效方法。沿着我们提供了面积算子谱的相关部分的完整表征，包括退化，并显式确定投影约束的解的数量。我们使用计算机实现的算法来确认和扩展以前的结果的详细结构的黑洞简并谱。
We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.