Black hole area quantization

Abstract

It has been argued by several authors that the quantum mechanical spectrum of black hole horizon area must be discrete. This has been confirmed in different formalisms, using different approaches. Here we concentrate on two approaches, the one involving quantization on a reduced phase space of collective coordinates of a Black Hole and the algebraic approach of Bekenstein. We show that for non-rotating, neutral black holes in any spacetime dimension, the approaches are equivalent. We introduce a primary set of operators sufficient for expressing the dynamical variables of both, thus mapping the observables in the two formalisms onto each other. The mapping predicts a Planck size remnant for the black hole.

7 pages, uses MPLA style file (included). Revised version with changes in notation for clarity and consistency. To appear in MPLA

References in corpus (1)

• Spectrum of Charged Black Holes - The Big Fix Mechanism Revisited

Cited by in corpus (16)

• Gravity and the Thermodynamics of Horizons
• Thermal Fluctuations and Black Hole Entropy
• Do black holes radiate?
• Algebraic approach to quantum black holes: logarithmic corrections to black hole entropy
• Spectroscopy of Rotating Linear Dilaton Black Holes From Boxed Quasinormal Modes
• Schrödinger and Klein-Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse
• Modified cosmology from quantum deformed entropy
• Quantum Black hole--White hole entangled states
• Coherent States for Black Holes
• Quantum Mechanical Spectra of Charged Black Holes
• Quantum Black Holes: the Event Horizon as a Fuzzy Sphere
• Spectrum of rotating black holes and its implications for Hawking radiation
• Quantum oscillations in the black hole horizon
• Spectroscopy of an AdS Reissner-Nordstrom black hole
• Varying Fine Structure Constant and Black Hole Physics
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle