Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators

Details Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators

2005-01-25

arxiv.org/abs/gr-qc/0501075v2

Class.Quant.Grav. 22 (2005) 3295-3314

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, revtex, 3 figures

Scientific paper

10.1088/0264-9381/22/16/011

Loop Quantum Gravity defines the quantum states of space geometry as spin networks and describes their evolution in time. We reformulate spin networks in terms of harmonic oscillators and show how the holographic degrees of freedom of the theory are described as matrix models. This allow us to make a link with non-commutative geometry and to look at the issue of the semi-classical limit of LQG from a new perspective. This work is thought as part of a bigger project of describing quantum geometry in quantum information terms.

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