Classical Limit of Black Hole Quantum N-Portrait and BMS Symmetry
arXiv:1509.02114 · doi:10.1016/j.physletb.2015.11.073
Abstract
Black hole entropy, denoted by N, in (semi)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of infinite-N gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the geometric meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
15 pages, Latex
References in corpus (8)
- Black holes as mirrors: quantum information in random subsystems
- Evidence for a New Soft Graviton Theorem
- Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
- The Information Paradox for Black Holes
- Black Holes and Quantumness on Macroscopic Scales
- Nambu-Goldstone Effective Theory of Information at Quantum Criticality
- Baryon number conservation in Bose-Einstein condensate black holes
- Black Hole Type Quantum Computing in Critical Bose-Einstein Systems
Cited by in corpus (36)
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Quantum Break-Time of de Sitter
- The Milky Way's Supermassive Black Hole: How good a case is it? A Challenge for Astrophysics & Philosophy of Science
- Shaving off Black Hole Soft Hair
- Primordial Black Holes
- Matter and gravitons in the gravitational collapse
- Higher Spin Black Holes with Soft Hair
- BMS in Cosmology
- Where does the physics of extreme gravitational collapse reside?
- Gravitational Black Hole Hair from Event Horizon Supertranslations
- Goldstone origin of black hole hair from supertranslations and criticality
- Infinite Black Hole Entropies at Infinite Distances and Tower of States
- Memory burden effect mimics reheating signatures on SGWB from ultra-low mass PBH domination
- Geometric model of black hole quantum -portrait, extradimensions and thermodynamics
- Memory in de Sitter space and BMS-like supertranslations
- Swampland, Gradient Flow and Infinite Distance
- Planckian charged black holes in ultraviolet self-complete quantum gravity
- Near horizon symmetries, emergence of Goldstone modes and thermality
- Hawking radiation is corpuscular
- Universality of Black Hole Quantum Computing
- Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
- Asymptotic dynamics, large gauge transformations and infrared symmetries
- Information Content of Gravitational Radiation and the Vacuum
- Algebras, Hawking Radiation and Information Retention by Stringy Black Holes
- Combing gravitational hair in 2+1 dimensions
- Large gauge transformation and little group for soft photons
- Photons in a Ball
- Nonassociative Ricci flows, star product and R-flux deformed black holes, and swampland conjectures
- Supertranslations: redundancies of horizon data, and global symmetries at null infinity
- Coherent States in Gauge Theories: Topological Defects and Other Classical Configurations
- Quantum black holes as classical space factories
- More about the Instanton/Soliton/Kink correspondence
- Information Retention by Stringy Black Holes
- BMS Goldstone modes near the horizon of a Kerr black hole are thermal
- Hawking Radiation As Stimulated Emission
- Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes