Loop cosmology: Regularization vs. quantization

J. Haro, E. Elizalde

    Research output: Contribution to journalArticleResearchpeer-review

    20 Citations (Scopus)

    Abstract

    It is argued that it is the regularization of the classical Hamiltonian - the first step in loop cosmology in order to build a well-defined quantum theory - that is already able to avoid the Big Bang and Big Rip singularities, rather than the usually invoked quantum corrections coming from the quantization of the Hamiltonian. To prove such statement, the classical regularized Hamiltonian corresponding to loop gravity is obtained, and it is shown that it coincides, up to terms of order , with the so-called effective Hamiltonian which is calculated from the quantum regularized Hamiltonian using semi-classical techniques. From that comparison it is concluded that both types of singularities are avoided at the "classical level" already, i.e., using loop cosmology, in the sense that only the quantum nature of the geometry is invoked (the loop cut-off) in order to construct the regularized Hamiltonian and to fix the parameter on which it depends. Such finding constitutes a key manifestation of the intrinsic power of loop gravity, as compared with other alternatives. Copyright © 2010 EPLA.
    Original languageEnglish
    Article number69001
    JournalEPL
    Volume89
    Issue number6
    DOIs
    Publication statusPublished - 19 Apr 2010

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