Gravity from Quantum Information

Abstract

It is suggested that the Einstein equation can be derived from Landauer's principle applied to an information erasing process at a local Rindler horizon and Jacobson's idea linking the Einstein equation with thermodynamics. When matter crosses the horizon, the information of the matter disappears and the horizon entanglement entropy increases to compensate the entropy reduction. The Einstein equation describes an information-energy relation during this process, which implies that entropic gravity is related to the quantum entanglement of the vacuum and has a quantum information theoretic origin.

7 pages, revtex4-1, 2 figures, recent supporting results added

References in corpus (6)

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• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Non-equilibrium Thermodynamics of Spacetime: the Role of Gravitational Dissipation
• Entropic Inflation
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Cited by in corpus (8)

• Analysis of a regular black hole in Verlinde's gravity
• Holographic Dark Energy and Quantum Entanglement
• Correlation Measure Equivalence in Dynamic Causal Structures of Quantum Gravity
• Gravity as Quantum Entanglement Force
• Temperature upper bound of an ideal gas
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• Realize Emergent Gravity to Generic Situations
• The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant