On area and entropy of a black hole

Abstract

We consider a model of a black hole consisting of a number of elementary components. Examples of such models occur in the Ashtekar's approach to canonical Quantum Gravity and in M-theory. We show that treating the elementary components as completely distinguishable leads to the area law for the black hole entropy. Contrary to previous results, we show that no Bose condensation occurs, the area has big local fluctuations and that in the framework of canonical Quantum Gravity the area of the black hole horizon is equidistantly quantized.

LaTeX, 4 pages

References in corpus (20)

• Discreteness of area and volume in quantum gravity
• Quantum Geometry and Black Hole Entropy
• Two Dimensional Gauge Theories Revisited
• Spectroscopy of the quantum black hole
• A path integral approach to the Kontsevich quantization formula
• Poisson Structure Induced (Topological) Field Theories
• The Immirzi parameter in quantum general relativity
• Counting surface states in the loop quantum gravity
• Area spectrum of the Schwarzschild black hole
• Black Hole Statistics
• On the Quantum Levels of Isolated Spherically Symmetric Gravitational Systems
• The complete spectrum of the area from recoupling theory in loop quantum gravity
• The Emergence of an Effective two - dimensional Quantum Description from the study of Critical Phenomena in Black Holes
• Schwarzchild Black Holes in Matrix Theory II
• Mass Quantization of the Schwarzschild Black Hole
• Black Hole Spectrum: Continuous or Discrete?
• Are There Topological Black Hole Solitons in String Theory?
• Statistical mechanics of D0-branes and black hole thermodynamics
• Schwarzschild Black Hole Quantum Statistics from Z(2) Orientation Degrees of Freedom and its Relations to Ising Droplet Nucleation
• On the Hagedorn Transition and Collective Dynamics of D0-branes

Cited by in corpus (39)

• Fractal Structure of Loop Quantum Gravity
• Quantum simplicial geometry in the group field theory formalism: reconsidering the Barrett-Crane model
• Asymptotics of 10j symbols
• Cosmological Deformation of Lorentzian Spin Foam Models
• Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups
• Bounding bubbles: the vertex representation of 3d Group Field Theory and the suppression of pseudo-manifolds
• Canonical quantization of non-commutative holonomies in 2+1 loop quantum gravity
• Asymptotic Quasinormal Frequencies of d-dimensional Schwarzschild Black Holes
• Renormalization and black hole entropy in Loop Quantum Gravity
• A spin foam model for pure gauge theory coupled to quantum gravity
• High-Order Corrections to the Entropy and Area of Quantum Black Holes
• Area spectrum and quasinormal modes of black holes
• Critical Overview of Loops and Foams
• High frequency quasi-normal modes for black-holes with generic singularities
• Semiclassical quantisation of space-times with apparent horizons
• Chern-Simons expectation values and quantum horizons from LQG and the Duflo map
• The universal area spectrum in single-horizon black holes
• The spectrum of quantum black holes and quasinormal modes
• A note about the quantum of area in a non-commutative space
• Continuous area spectrum in regular black hole
• Quantum Black Holes: the Event Horizon as a Fuzzy Sphere
• Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
• Spectrum of rotating black holes and its implications for Hawking radiation
• Ambiguity of black hole entropy in loop quantum gravity
• Black Hole Thermodynamics: Entropy, Information and Beyond
• Comparison of area spectra in loop quantum gravity
• Loop quantization from a lattice gauge theory perspective
• Spectrum of quantized black hole, correspondence principle, and holographic bound
• On the causal Barrett--Crane model: measure, coupling constant, Wick rotation, symmetries and observables
• On the Microcanonical Entropy of a Black Hole
• Quantized Black Holes, Their Spectrum and Radiation
• The Gibbs paradox, Black hole entropy and the thermodynamics of isolated horizons
• Questions of Stability near Black Hole Critical Points
• Level density of a Fermi gas and integer partitions: a Gumbel-like finite-size correction
• Extensions of the Duflo map and Chern-Simons expectation values
• Exact and approximate methods of calculating the sum of states for noninteracting classical and quantum particles occupying a finite number of modes
• Remarks on the black hole entropy and Hawking spectrum in Loop Quantum Gravity
• Quantum surface holonomies for loop quantum gravity and their application to black hole horizons
• Black Hole Entropy in Loop Quantum Gravity and Number Theory