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Phys. Rev. Lett. 100, 091304 (2008) [4 pages]

Planckian Birth of a Quantum de Sitter Universe

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J. Ambjørn*
Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

A. Görlich and J. Jurkiewicz
Institute of Physics, Jagellonian University, Reymonta 4, PL 30-059 Krakow, Poland

R. Loll§
Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands

Received 13 December 2007; published 7 March 2008

We show that the quantum universe emerging from a nonperturbative, Lorentzian sum over geometries can be described with a high accuracy by a four-dimensional de Sitter spacetime. By a scaling analysis involving Newton’s constant, we establish that the linear size of the quantum universes under study is in between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum fluctuations around the de Sitter universe in this regime are to good approximation still describable semiclassically. The numerical evidence presented comes from a regularization of quantum gravity in terms of causal dynamical triangulations.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.091304
DOI:
10.1103/PhysRevLett.100.091304
PACS:
98.80.Qc, 04.60.Gw, 04.60.Nc

*Also at Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands.

ambjorn@nbi.dk

atg@th.if.uj.edu.pl

jurkiewi@thrisc.if.uj.edu.pl

§R.Loll@phys.uu.nl