期刊
CLASSICAL AND QUANTUM GRAVITY
卷 21, 期 21, 页码 4941-4953出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/21/21/012
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For a class of solutions of the fundamental difference equation of isotropic loop quantum cosmology, the difference equation can be replaced by a differential equation valid for all values of the triad variable. The differential equation admits a `unique' non-singular continuation through vanishing triad. A WKB approximation for the solutions leads to an effective continuum Hamiltonian. The effective dynamics is also non-singular (no big bang singularity) and approximates the classical dynamics for large volumes. The effective evolution is thus a more reliable model for further phenomenological implications of the small volume effects.
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