Nonlinear (loop) quantum cosmology

Martin Bojowald, Alexander L. Chinchilli, David Simpson, Christine C. Dantas, and Matthew Jaffe
Phys. Rev. D 86, 124027 – Published 13 December 2012

Abstract

Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a nonlinear minisuperspace equation by methods analogous to Bose—Einstein condensation. Complicated gravitational dynamics can therefore be described by more-manageable equations for finitely many degrees of freedom, for which powerful solution procedures are available, including effective equations. The specific form of nonlinear and nonlocal equations suggests new questions for mathematical and computational investigations, and general properties of nonlinear wave equations lead to several new options for physical effects and tests of the consistency of loop quantum gravity. In particular, our quantum cosmological methods show how sizeable quantum corrections in a low-curvature Universe can arise from tiny local contributions adding up coherently in large regions.

  • Received 2 November 2012

DOI:https://doi.org/10.1103/PhysRevD.86.124027

© 2012 American Physical Society

Authors & Affiliations

Martin Bojowald, Alexander L. Chinchilli, and David Simpson

  • Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA

Christine C. Dantas

  • Divisão de Materiais (AMR), Instituto de Aeronáutica e Espaco (IAE), Departamento de Ciência e Tecnologia Aeroespacial (DCTA), Brazil

Matthew Jaffe

  • University of California, Berkeley, Department of Physics, Berkeley, California 94720, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 12 — 15 December 2012

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×