Proof of Bekenstein–Mukhanov ansatz in loop quantum gravity

2016/09/15 by Abhishek Majhi
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Classical mechanics #Immirzi parameter #Linear-quadratic-Gaussian control #Loop quantum cosmology #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Optimal control #Physics #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Spin foam #Theoretical physics #gr-qc

paper · pdf · doi:10.1142/s0217732316501716

published as Mod. Phys. Lett. A, Vol. 31, No. 31 (2016) 1650171 · 5 pages, close to published version

openalex publication_date 2016/09/15 · arxiv created 2016/09/22 · arxiv updated 2016/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, a simple proof of Bekenstein–Mukhanov (BM) ansatz is given within the loop quantum gravity (LQG) framework. The macroscopic area of an equilibrium black hole horizon indeed manifests a linear quantization. The quantum number responsible for this discreteness of the macroscopic area has a physical meaning in the LQG framework, unlike the ad hoc one that remained unexplained in BM ansatz.

Citations

• Reality Conditions and Ashtekar Variables: a Different Perspective
• Real and complex connections for canonical gravity
• Particle creation by black holes
• Quantum Geometry and Black Hole Entropy
• Real Ashtekar variables for Lorentzian signature space-times
• Isolated horizons: Hamiltonian evolution and the first law
• Spectroscopy of the quantum black hole