Speaker
Description
ABSTRACT
Black holes pose sharp consistency questions at the interface of gravity, quantum
mechanics, and thermodynamics. It is widely believed that resolving problems such
as providing a microscopic account of Bekenstein–Hawking entropy, understanding
the origin of black hole thermodynamics, and resolving the information paradox
posed by Hawking radiation will provide valuable insights to the construction of the
theory of quantum gravity.
In this talk, I discuss a recent proposal [1,2] of a quantum mechanics of quantized
space as a model of quantum black hole and quantum gravity in 4-dimensions. Our
construction was motivated by the bottom-up approach [3,4]. As a system of
quantum bits of quantum space, our model reproduces not only the needed
macroscopic properties of the Schwarzschild black hole [1] and the rotating Kerr
black hole [2], it also provides a microscopic counting of the Bekenstein-Hawking
entropy of black hole [1,2] and explains the origin of Hawking radiation in terms of a
tunneling process of emission of monopole in the quantum mechanics [5].
As application, I discuss how the well-known membrane paradigm of black hole is
modified by quantum gravity effects [6]. In classical general relativity, the black hole
membrane is an electrical conductor with a constant vacuum resistivity. We identify
new quantum gravity effects and show that the quantum black hole membrane has
also a frequency dependent inductance and a chiral Hall conductance. Possible phenonenology will be discussed.
- Matrix model proposal for quantum gravity and the quantum mechanics of
black holes, Phys.Rev.D 112 (2025) 6, 066001, Chong-Sun Chu - Quantum Kerr black hole from matrix theory of quantum gravity, Phys.Rev.D
112 (2025) 4, 046014, Chong-Sun Chu - Fermi model of a quantum black hole, Phys.Rev.D 110 (2024) 4, 046001,
Chong-Sun Chu - Tunneling of Bell particles, page curve and black hole information,
Phys.Lett.B 865 (2025) 139486, Chong-Sun Chu - Hawking Radiation from Tunneling in Black Hole Quantum Mechanics, ePrint: 2603.12199 [hep-th], Chong-Sun Chu
- Membrane Paradigm for Quantum Black Hole, to appear, Chong-Sun Chu