Mathematical structure of loop quantum cosmology

Details Mathematical structure of loop quantum cosmology Mathematical structure of loop quantum cosmology

2003-04-21

arxiv.org/abs/gr-qc/0304074v4

Adv.Theor.Math.Phys.7:233-268,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, v2: minor corrections, v3: remark added in appendix

Scientific paper

Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity. However, the precise mathematical structure underlying loop quantum cosmology and the sense in which it implements the full quantization program in a symmetry reduced model has not been made explicit. The purpose of this paper is to address these issues, thereby providing a firmer mathematical and conceptual foundation to the subject.

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