Shortcomings of the big bounce derivation in loop quantum cosmology

Francesco Cianfrani, Giovanni Montani

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We give a prescription to define in loop quantum gravity the electric field operator related to the scale factor of a homogeneous and isotropic cosmological space-time. This procedure allows us to link the fundamental theory with its cosmological implementation. In view of the conjugate relation existing between holonomies and fluxes, the edge length and the area of surfaces in the fiducial metric satisfy a duality condition. As a consequence, the area operator has a discrete spectrum also in loop quantum cosmology. This feature makes the super-Hamiltonian regularization an open issue of the whole formulation. © 2010 The American Physical Society.
Original languageEnglish
Article number021501
Pages (from-to)-
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number2
DOIs
Publication statusPublished - 22 Jul 2010
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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