Speaker
Prof.
Chong-Sun Chu
(National Tsing-Hua University)
Description
We propose a quantum mechanical theory of quantum spaces
described by large N noncommutative geometry as a model for quantum
gravity. The theory admits fuzzy sphere and fuzzy ellipsoid as solution.
We show that these solutions reproduces precisely the horizon radius of a
Schwarzschild black hole and a Kerr black hole. Moreover our quantum
mechanical description gives rise to a set of microstates over these
geometries, which reproduces precisely the Bekenstein-Hawking entropy of
black hole. These results provide support that our proposed theory of
quantum spaces is a plausible candidate for the theory of quantum
gravity. Further progress and directions will be discussed.
Primary author
Prof.
Chong-Sun Chu
(National Tsing-Hua University)
