摘要
In loop quantum gravity, the number N-Gamma(A, gamma) of microstates of a black hole for a given discrete geometry Gamma depends on the so-called Barbero-Immirzi parameter gamma. Using a suitable analytic continuation of gamma to complex values, we show that the number N-Gamma(A, +/- i) of microstates behaves as exp(A/(4l(Pl)(2))) for a large area A in the large spin semiclassical limit. Such a correspondence with the semiclassical Bekenstein-Hawking entropy law points towards an unanticipated and remarkable feature of the original complex Ashtekar variables for quantum gravity.
- 出版日期2014-7