Generic degeneracy and entropy in loop quantum gravity

2006/03/31 by Mohammad H. Ansari · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole complementarity #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Degeneracy (biology) #Entropy (arrow of time) #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Micro black hole #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.11.038

published as Nucl.Phys.B795:635-644,2008 · 6 pages, 5 figures, and 2 tables. Published in section: Field Theory And Statistical Systems

openalex publication_date 2008/02/22 · arxiv created 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Reconstructing Quantum Geometry from Quantum Information: Area Renormalisation, Coarse-Graining and Entanglement on Spin Networks
• Quasinormal modes: the characteristic `sound' of black holes and neutron stars
• Particle creation by black holes
• The Thermodynamics of Black Holes
• Quantum Geometry and Black Hole Entropy
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Black Hole Entropy from Loop Quantum Gravity

Cited by

• Spectroscopy of a canonically quantized horizon
• Loop quantum gravity [wikipedia]