Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS

Abstract

In this work, we investigate how single-sided and eternal black holes in AdS can host an enormous number of semiclassical excitations in their interior, which is seemingly not reflected in the Bekenstein Hawking entropy. In addition to the paradox in the entropy, we argue that the treatment of such excitations using effective field theory also violates black holes' expected spectral properties. We propose that these mysteries are resolved because apparently orthogonal semiclassical bulk excitations have small inner products between them; and consequently, a vast number of semiclassical excitations can be constructed using the Hilbert space which describes black hole's interior. We show that there is no paradox in the dual CFT description and comment upon the initial bulk state, which leads to the paradox. Further, we demonstrate our proposed resolution in the context of small $N$ toy matrix models, where we model the construction of these large number of excitations. We conclude by discussing why this resolution is special to black holes.

arXiv comment59 pages including appendices, 10 figures. Added references, fixed typos and changed fonts

References in corpus (50)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Microscopic Origin of the Bekenstein-Hawking Entropy
• A bound on chaos
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Black holes and the butterfly effect
• Quantum Communication Through an Unmodulated Spin Chain
• Black holes as mirrors: quantum information in random subsystems
• Cool horizons for entangled black holes
• Generalized gravitational entropy
• Information in Black Hole Radiation
• Fast Scramblers
• The Stretched Horizon and Black Hole Complementarity
• The information paradox: A pedagogical introduction
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• Complexity and Shock Wave Geometries
• The Page curve of Hawking radiation from semiclassical geometry
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Towards the fast scrambling conjecture
• From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
• An Apologia for Firewalls
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• An Infalling Observer in AdS/CFT
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• State-Dependent Bulk-Boundary Maps and Black Hole Complementarity
• On the Time Dependence of Holographic Complexity
• Gedanken Experiments involving Black Holes
• Local bulk operators in AdS/CFT: A holographic description of the black hole interior
• Spectral form factor in a random matrix theory
• Spectral Statistics Beyond Random Matrix Theory
• The Black Hole Interior in AdS/CFT and the Information Paradox
• Black Hole Entanglement and Quantum Error Correction
• Comments on the Necessity and Implications of State-Dependence in the Black Hole Interior
• Inflation in AdS/CFT
• Local Operators in the Eternal Black Hole
• An Extension of Level-spacing Universality
• Black Holes, AdS, and CFTs
• The information paradox: conflicts and resolutions
• Ensemble from Coarse Graining: Reconstructing the Interior of an Evaporating Black Hole
• Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
• Monsters, black holes and the statistical mechanics of gravity
• Loss of locality in gravitational correlators with a large number of insertions
• Hologram of a pure state black hole
• The Fate of Monsters in Anti-de Sitter Spacetime

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