Black Hole Entropy, Loop Gravity, and Polymer Physics
arXiv:1011.5628 · doi:10.1088/0264-9381/28/11/114006
Abstract
Loop Gravity provides a microscopic derivation of Black Hole entropy. In this paper, I show that the microstates counted admit a semiclassical description in terms of shapes of a tessellated horizon. The counting of microstates and the computation of the entropy can be done via a mapping to an equivalent statistical mechanical problem: the counting of conformations of a closed polymer chain. This correspondence suggests a number of intriguing relations between the thermodynamics of Black Holes and the physics of polymers.
13 pages, 2 figures
References in corpus (29)
- Discreteness of area and volume in quantum gravity
- Quantum Geometry and Black Hole Entropy
- Quantum Theory of Gravity I: Area Operators
- The Thermodynamics of Black Holes
- Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
- Logarithmic correction to the Bekenstein-Hawking entropy
- Black Hole Entropy from Loop Quantum Gravity
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
- A new spinfoam vertex for quantum gravity
- Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity
- An Action for Black Hole Membranes
- Black hole entropy and SU(2) Chern-Simons theory
- Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
- Counting surface states in the loop quantum gravity
- Detailed black hole state counting in loop quantum gravity
- The Fine Structure of SU(2) Intertwiners from U(N) Representations
- Quantum geometry from phase space reduction
- Holomorphic Factorization for a Quantum Tetrahedron
- Operators for quantized directions
- Black Holes as Quantum Membranes
- Counting black hole microscopic states in loop quantum gravity
- Black hole entropy: inside or out?
- The combinatorics of the SU(2) black hole entropy in loop quantum gravity
- Entropy calculation for a toy black hole
- Black holes in full quantum gravity
- Quanta of Geometry and Rotating Black Holes
- Effective Lagrangian for Quantum Black Holes
- Entropy and Area of Black Holes in Loop Quantum Gravity
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- Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
- Discrete Gravity Models and Loop Quantum Gravity: a Short Review
- Deformations of Polyhedra and Polygons by the Unitary Group
- Big-Bounce cosmology in the presence of Immirzi field
- Polymeric Quantization and Black Hole Thermodynamics
- From Planck area to graph theory: Topologically distinct black hole microstates
- Entropy of Quantum Black Holes
- Statistical Thermodynamics of Polymer Quantum Systems
- Entropy in the Classical and Quantum Polymer Black Hole Models
- Classical polymerization of the Schwarzschild metric
- Area Law from Loop Quantum Gravity
- Holographic Shell Model: Stack Data Structure inside Black Holes
- Classical axisymmetric gravity in real Ashtekar variables
- Quantized Black Hole and Heun function
- On the Nature of Black Holes in Loop Quantum Gravity
- Semi-classical analysis of black holes in Loop Quantum Gravity: Modelling Hawking radiation with volume fluctuations
- Scalar field entanglement entropy for small Schwarzschild black hole
- Small Spins of Primordial Black Holes from Random Geometries: Bekenstein-Hawking Entropy and Gravitational Wave Observations
- Loop quantum gravity - a short review
- Unruh effect and entropy of Schwarzschild black hole
- New insights in quantum geometry