Statistical and entanglement entropy for black holes in quantum geometry

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.

References added

References in corpus (8)

• Black hole evaporation: A paradigm
• Relative entropy and the Bekenstein bound
• Proof of a Quantum Bousso Bound
• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Entanglement Entropy in Loop Quantum Gravity
• Topological Interpretation of Barbero-Immirzi Parameter
• Entropy of Non-Extremal Black Holes from Loop Gravity
• CFT/Gravity Correspondence on the Isolated Horizon

Cited by in corpus (4)

• 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