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arXiv · 2406.12704

Quantum Kerr Black Hole from Matrix Theory of Quantum Gravity

Chong-Sun Chu
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Abstract

Recently, a quantum mechanical theory of quantum spaces described by a large $N$ non-commutative coordinates is proposed as a model for quantum gravity [1]. In this paper, we construct Kerr black hole as a rotating noncommutative geometry solution of this theory. Due to rotation, the fuzzy sphere is deformed into a fuzzy ellipsoid, which matches exactly the outer horizon of the Kerr black hole in the Boyer-Lindquist coordinates. Together with a half-filled Fermi sea, the fuzzy solution reproduces the Bekenstein-Hawking entropy as well as the mass and angular momentum of the Kerr black hole. These results provide support that the proposed quantum mechanics of quantum spaces as a model of quantum gravity.

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Chong-Sun Chu. 2024-06-18. Quantum Kerr Black Hole from Matrix Theory of Quantum Gravity. https://arxiv.org/abs/2406.12704

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