Quantum Bounce and Cosmic Recall

Alejandro Corichi and Parampreet Singh
Phys. Rev. Lett. 100, 161302 – Published 23 April 2008

Abstract

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 1056 (becoming smaller for larger universes). The universe maintains (an almost) total recall.

  • Received 31 October 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.161302

©2008 American Physical Society

Authors & Affiliations

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

Comments & Replies

Corichi and Singh Reply:

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

Comment on “Quantum Bounce and Cosmic Recall”

Martin Bojowald
Phys. Rev. Lett. 101, 209001 (2008)

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Vol. 100, Iss. 16 — 25 April 2008

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