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Quantum Kerr Black Hole from Matrix Theory of Quantum Gravity
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Quantum Kerr Black Hole from Matrix Theory of Quantum Gravity
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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.
Forward citations
Cited by 4 Pith papers
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From Horizon Microstates to the Black Hole Membrane
A matrix model of black hole microstates is claimed to explain the membrane paradigm: horizon fermions form Landau levels and a condensed interface transfers their current to the exterior Maxwell field.
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
Fuzzy-sphere horizon partons form LLL states under a Berry monopole and, after link condensation locks the horizon gauge field to the exterior Maxwell field, generate a physical membrane current with quantum correctio...
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Quantum Horizon and Quantum Membrane Paradigm from Black Hole Quantum Mechanics
Horizon partons on the fuzzy sphere form lowest-Landau-level states under an intrinsic Berry monopole, generating Ohmic, Hall and polarization currents that a link-field condensate locks to the bulk Maxwell field, yie...
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Fuzzy Black Holes from Mass Generation in Matrix Compactification
Compactifying BFSS on T^3 with mixed fermion boundary conditions yields a mass-deformed theory whose fuzzy-sphere plus fermion configurations are proposed as Schwarzschild black holes with entropy S∼N.
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