English

Turning big bang into big bounce: II. Quantum dynamics

General Relativity and Quantum Cosmology 2011-03-28 v6 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory Quantum Physics

Abstract

We analyze the big bounce transition of the quantum FRW model in the setting of the nonstandard loop quantum cosmology (LQC). Elementary observables are used to quantize composite observables. The spectrum of the energy density operator is bounded and continuous. The spectrum of the volume operator is bounded from below and discrete. It has equally distant levels defining a quantum of the volume. The discreteness may imply a foamy structure of spacetime at semiclassical level which may be detected in astro-cosmo observations. The nonstandard LQC method has a free parameter that should be fixed in some way to specify the big bounce transition.

Keywords

Cite

@article{arxiv.0908.4029,
  title  = {Turning big bang into big bounce: II. Quantum dynamics},
  author = {Przemyslaw Malkiewicz and Wlodzimierz Piechocki},
  journal= {arXiv preprint arXiv:0908.4029},
  year   = {2011}
}

Comments

14 pages, no figures, version accepted for publication in Class. Quant. Grav

R2 v1 2026-06-21T13:39:37.596Z