Emergence of cosmological Friedmann equations from quantum entanglement

2017/09/11 by Xian-Hui Ge, Ge, Xian-Hui, Can-Can Wang +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmology #Cosmology and Gravitation Theories #Dark energy #Entropy (arrow of time) #FOS: Physical sciences #Friedmann equations #General Relativity and Quantum Cosmology (gr-qc) #Geodesic #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum entanglement #Quantum mechanics #Squashed entanglement #Theoretical physics #gr-qc

paper · pdf · doi:10.48550/arxiv.1709.03290

This paper was withdrawn because of some unlikely results

openalex publication_date 2017/09/11 · arxiv created 2018/07/11 · arxiv updated 2018/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the deep connections between the concepts of quantum information theory and cosmology. Employing Fermi normal coordinates and conformal Fermi coordinates, we construct a relation between Friedmann equations of Friedmann-Lemaitre-Robertson-Walker universe and entanglement. Friedmann equations are derived with the first law of entanglement under the assumption that entanglement entropy in a geodesic balls is maximized at fixed volume.

Citations

• First Law of Thermodynamics and Friedmann Equations of Friedmann–Robertson–Walker Universe
• First law of thermodynamics and Friedmann-like equations in braneworld cosmology
• Universality of Gravity from Entanglement
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence

Related

• How Einstein's Equation Emerges From CFT₂
• Geometry and Dynamics of Emergent Spacetime from Entanglement Spectrum
• Quantum entanglement in cosmology
• Entropic corrections and modified Friedmann equations in the emergence of cosmic space
• Entanglement Equilibrium and the Einstein Equation