Generic degeneracy and entropy in loop quantum gravity

Abstract

Without imposing the trapping boundary conditions and only from within the very definition of area it is shown that the loop quantization of area manifests an unexpected degeneracy in area eigenvalues. This could lead to a deeper understanding of the microscopic description of a quantum black hole. If a certain number of semi-classically expected properties of black holes are imposed on a quantum surface its entropy coincides with the Bekenstein-Hawking entropy.

6 pages, 5 figures, and 2 tables. Published in section: Field Theory And Statistical Systems

References in corpus (22)

• Quasi-Normal Modes of Stars and Black Holes
• Discreteness of area and volume in quantum gravity
• Quantum Geometry and Black Hole Entropy
• Quantum Theory of Gravity I: Area Operators
• Real Ashtekar Variables for Lorentzian Signature Space-times
• The Thermodynamics of Black Holes
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Black Hole Entropy from Loop Quantum Gravity
• Spin Foam Models for Quantum Gravity
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Geometrodynamics of Schwarzschild Black Holes
• Real and complex connections for canonical gravity
• Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity
• Counting surface states in the loop quantum gravity
• Spherically Symmetric Gravity as a Completely Integrable System
• On Quantum Statistical Mechanics of a Schwarzschild Black Hole
• Quantum Black Holes: Entropy and Entanglement on the Horizon
• The complete spectrum of the area from recoupling theory in loop quantum gravity
• Reconstructing Quantum Geometry from Quantum Information: Area Renormalisation, Coarse-Graining and Entanglement on Spin Networks
• From qubits to black holes: entropy, entanglement and all that
• Loop Quantum Gravity and Black Hole Physics
• Spectroscopy of a canonically quantized horizon

Cited by in corpus (12)

• Entropy/Area spectra of the charged black hole from quasinormal modes
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Quantization of Black Hole Entropy from Quasinormal Modes
• Spectroscopy of a canonically quantized horizon
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections
• Entropy Production in Quantum Is Different
• Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
• On the black hole singularity issue in loop quantum gravity
• Entropy in Spin Foam Models: The Statistical Calculation
• Does loop quantum ${\mu }_o$ scheme permit a black hole formation?
• Holographic bound in covariant loop quantum gravity