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Fate of the Hoop Conjecture in Quantum Gravity

Anzà, F., & Chirco, G. (2017). Fate of the Hoop Conjecture in Quantum Gravity. Physical Review Letters, 119: 231301. doi:10.1103/PhysRevLett.119.231301.

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Genre: Journal Article

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1703.05241.pdf (Preprint), 527KB
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PRLett.119.231301.pdf (Publisher version), 138KB

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### Creators

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Creators:
Anzà, Fabio, Author
Chirco, Goffredo1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Quantum Physics, quant-ph
Abstract: We consider a closed region $R$ of 3d quantum space modeled by $SU(2)$ spin-networks. Using the concentration of measure phenomenon we prove that, whenever the ratio between the boundary $\partial R$ and the bulk edges of the graph overcomes a finite threshold, the state of the boundary is always thermal, with an entropy proportional to its area. The emergence of a thermal state of the boundary can be traced back to a large amount of entanglement between boundary and bulk degrees of freedom. Using the dual geometric interpretation provided by loop quantum gravity, we interprete such phenomenon as a pre-geometric analogue of Thorne's "Hoop conjecture", at the core of the formation of a horizon in General Relativity.

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Dates: 2017-03-152017-03-212017
Publication Status: Published in print
Pages: 7 pages, 2 figures, minor improvements
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Rev. Method: -
Identifiers: arXiv: 1703.05241
URI: http://arxiv.org/abs/1703.05241
DOI: 10.1103/PhysRevLett.119.231301
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Title: Physical Review Letters
Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 119 Sequence Number: 231301 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1