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Probing spacetime with a holographic relation between spacetime and entanglement

Jaksland, Rasmus (2017) Probing spacetime with a holographic relation between spacetime and entanglement. [Preprint]

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Abstract

This paper introduces and examines the prospects of the recent research in a holographic
relation between entanglement and spacetime pioneered by Mark van Raamsdonk and collaborators. Their thesis is that entanglement in a holographic quantum state is crucial
for connectivity in its spacetime dual. Utilizing this relation, the paper develops a thought experiment that promises to probe the nature of spacetime by monitoring the
behavior of a spacetime when all entanglement is removed between local degrees of freedom in its dual quantum state. The thought experiment suggests a picture of spacetime
as consisting of robust nodes that are connected by non-robust bulk spacetime that is sensitive to changes in entanglement in the dual quantum state. However, rather than
pursuing the thought experiment in further detail, the credibility of the relation between spacetime and entanglement in this zero entanglement limit is questioned. The energy of a quantum system generally increases when all entanglement is removed between subsystems,
and so does the energy of its spacetime dual. If a system is subdivided into an infinite number of subsystems and all entanglement between them is removed, then
the energy of the quantum system and the energy of its spacetime dual are at risk of diverging. While this is a prima facie worry for the thought experiment, it does not
constitute a conclusive refutation.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Jaksland, Rasmusrasmus.jaksland@ntnu.no0000-0001-9531-9994
Keywords: Holography, Philosophy of Physics, AdS/CFT, Entanglement, Gravity, Emergence
Subjects: Specific Sciences > Physics > Quantum Gravity
Depositing User: Mr. Rasmus Jaksland
Date Deposited: 08 Nov 2017 15:18
Last Modified: 08 Nov 2017 15:18
Item ID: 14101
Subjects: Specific Sciences > Physics > Quantum Gravity
Date: November 2017
URI: http://philsci-archive.pitt.edu/id/eprint/14101

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