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  Background independent condensed matter models for quantum gravity

Hamma, A., & Markopoulou, F. (2011). Background independent condensed matter models for quantum gravity. New Journal of Physics, 13(9): 095006. doi:10.1088/1367-2630/13/9/095006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EE9C-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EE9D-D
Genre: Journal Article

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 Creators:
Hamma, Alioscia, Author
Markopoulou, Fotini1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Quantum Physics, quant-ph
 Abstract: A number of recent proposals for a quantum theory of gravity are based on the idea that spacetime geometry and gravity are derivative concepts and only apply at an approximate level. There are two fundamental challenges to any such approach. At the conceptual level, there is a clash between the "timelessness" of general relativity and emergence. Second, the lack of a fundamental spacetime makes difficult the straightforward application of well-known methods of statistical physics to the problem. We recently initiated a study of such problems using spin systems based on evolution of quantum networks with no a priori geometric notions as models for emergent geometry and gravity. In this article we review two such models. The first is a model of emergent (flat) space and matter and we show how to use methods from quantum information theory to derive features such as speed of light from a non-geometric quantum system. The second model exhibits interacting matter and geometry, with the geometry defined by the behavior of matter. This model has primitive notions of gravitational attraction which we illustrate with a toy black hole, and exhibits entanglement between matter and geometry and thermalization of the quantum geometry.

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 Dates: 2010-11-262011
 Publication Status: Published in print
 Pages: Contribution submitted to the focus issue of the New Journal of Physics on "Classical and Quantum Analogues for Gravitational Phenomena and Related Effects", R. Schuetzhold, U. Leonhardt and C. Maia, Eds
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 Identifiers: arXiv: 1011.5754
DOI: 10.1088/1367-2630/13/9/095006
URI: http://arxiv.org/abs/1011.5754
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Title: New Journal of Physics
  Other : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol, UK : Institute of Physics Pub.
Pages: - Volume / Issue: 13 (9) Sequence Number: 095006 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: /journals/resource/954926913666