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Is entanglement entropy proportional to area?

2005/07/31 by Morteza Ahmadi, Saurya Das, S. Shankaranarayanan +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Entropy (arrow of time) #Excited state #Formalism (music) #Horizon #Quantum Electrodynamics and Casimir Effect #Quantum entanglement #Scalar (mathematics) #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1139/p06-002

published as Can.J.Phys.84:493-499,2006 · 6 pages. Based on talk by S. Das at Theory Canada 1, Vancouver, 3 June, 2005. To be published in a special edition of the Canadian Journal of Physics. Minor changes to match published version

openalex publication_date 2006/01/15 · arxiv created 2006/03/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It is known that the entanglement entropy of a scalar field, found by tracing over its degrees of freedom inside a sphere of radius [Formula: see text], is proportional to the area of the sphere (and not its volume). This suggests that the origin of black-hole entropy, also proportional to its horizon area, may lie in the entanglement between the degrees of freedom inside and outside the horizon. We examine this proposal carefully by including excited states, to check probable deviations from the area law.PACS Nos.: 04.60.–m, 04.62, 04.70.–s, 03.65.Ud

Citations