On Emergent Geometry from Entanglement Entropy in Matrix theory

2016/01/28 by Vatche Sahakian, Sahakian, Vatche
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.1601.07791

openalex publication_date 2016/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Matrix theory, we propose a technique on how to compute the entangle- ment entropy between a supergravity probe and modes on a spherical membrane. We demonstrate that a membrane stretched between the probe and the sphere entangles these modes and can lead to an the entanglement entropy that encodes information about local gravitational geometry seen by the probe.

Citations

• The Holographic Principle and the Renormalization Group
• D0 Matrix Mechanics: Topological Dynamics of Fuzzy Spaces
• Calculation of reduced density matrices from correlation functions
• Comments on quantum gravity and entanglement
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence

Related

• Investigations on entanglement entropy in gravity
• Why Emergence of Gravity in Matrix Theories is Entropic
• Entanglement entropy in Jackiw-Teitelboim gravity with matter
• On the Architecture of Spacetime Geometry
• Entanglement Entropy and The Density Matrix Renormalization Group