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Phys. Rev. Lett. 100, 161302 (2008) [4 pages]

Quantum Bounce and Cosmic Recall

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Alejandro Corichi1,2 and Parampreet Singh2,3
1Instituto de Matemáticas, Unidad Morelia, Universidad Nacional Autónoma de México, UNAM-Campus Morelia, A. Postal 61-3, Morelia, Michoacán 58090, Mexico
2Center for Fundamental Theory, Institute for Gravitation and the Cosmos, Penn State, University Park, Pennsylvania 16802, USA
3Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada

Received 31 October 2007; published 23 April 2008

Loop quantum cosmology predicts that, in simple models, the big bang is replaced by a quantum bounce. A natural question is whether the universe retains, after the bounce, its memory about the previous epoch. More precisely, does the Universe retain various properties of the state after evolving unitarily through the bounce, or does it suffer from recently suggested cosmic amnesia? We show that this issue can be answered unambiguously at least within an exactly solvable model. A semiclassical state at late times on one side of the bounce, peaked on a pair of canonically conjugate variables, strongly bounds the fluctuations on the other side, implying semiclassicality. For a model universe growing to 1 megaparsec, the change in relative fluctuation across the bounce is less than 10-56 (becoming smaller for larger universes). The universe maintains (an almost) total recall.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.161302
DOI:
10.1103/PhysRevLett.100.161302
PACS:
04.60.Pp, 04.60.Ds, 04.60.Kz, 98.80.Qc

See Also

Comment: Martin Bojowald, Comment on “Quantum Bounce and Cosmic Recall”, Phys. Rev. Lett. 101, 209001 (2008).

Reply: Alejandro Corichi and Parampreet Singh, Corichi and Singh Reply:, Phys. Rev. Lett. 101, 209002 (2008).