Statistical and entanglement entropy for black holes in quantum geometry
arXiv:1405.7287 · doi:10.1103/PhysRevD.90.084015
Abstract
We analyze the relationship between entanglement (or geometric) entropy with statistical mechanical entropy of horizon degrees of freedom when described in the framework of isolated horizons in loop quantum gravity. We show that, once the relevant degrees of freedom are identified, the two notions coincide. The key ingredient linking the two notions is the structure of quantum geometry at Planck scale implied by loop quantum gravity, where correlations between the inside and outside of the black hole are mediated by eigenstates of the horizon area operator.
arXiv commentReferences added
References in corpus (37)
- Area laws for the entanglement entropy - a review
- Black Hole Entropy is Noether Charge
- Isolated and dynamical horizons and their applications
- The Thermodynamics of Black Holes
- Black hole entropy in Loop Quantum Gravity
- Black Hole Entropy from Loop Quantum Gravity
- Entanglement entropy of black holes
- Lorentz invariance and quantum gravity: an additional fine-tuning problem?
- Black hole evaporation: A paradigm
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- Quantum gravity, shadow states, and quantum mechanics
- Relative entropy and the Bekenstein bound
- Von Neumann Algebra Automorphisms and Time-Thermodynamics Relation in General Covariant Quantum Theories
- An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
- Black hole entropy and SU(2) Chern-Simons theory
- Multipole Moments of Isolated Horizons
- Proof of a Quantum Bousso Bound
- Black hole state counting in Loop Quantum Gravity: A number theoretical approach
- Relation between polymer and Fock excitations
- Entanglement Entropy in Loop Quantum Gravity
- Introduction to Loop Quantum Gravity and Spin Foams
- Fock representations from U(1) holonomy algebras
- Statistics, holography, and black hole entropy in loop quantum gravity
- Topological Interpretation of Barbero-Immirzi Parameter
- 4d Lorentzian Holst action with topological terms
- Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?
- Renormalization and black hole entropy in Loop Quantum Gravity
- Spacetime thermodynamics without hidden degrees of freedom
- Entropy of Non-Extremal Black Holes from Loop Gravity
- Boundary unitarity and the black hole information paradox
- Geometric temperature and entropy of quantum isolated horizons
- CFT/Gravity Correspondence on the Isolated Horizon
- Comment on [arXiv:1106.1417] "Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?"
- Black hole horizons from within loop quantum gravity
- Apparent horizons, black hole entropy and loop quantum gravity
- Black Hole Entropy in Loop Quantum Gravity, Analytic Continuation, and Dual Holography
- Insensitivity of Hawking radiation to an invariant Planck-scale cutoff
Cited by in corpus (10)
- Black Holes in Loop Quantum Gravity
- Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy
- No firewalls in quantum gravity: the role of discreteness of quantum geometry in resolving the information loss paradox
- CFT/Gravity Correspondence on the Isolated Horizon
- Intertwiner Entanglement on Spin Networks
- Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
- 2-vertex Lorentzian Spin Foam Amplitudes for Dipole Transitions
- A dialog on the fate of information in black hole evaporation
- Quantum Entanglement Dynamics of Spacetime and Matter
- Universal Entanglement and an Information-Complete Quantum Theory