Advances in Theoretical and Mathematical Physics

Mathematical structure of loop quantum cosmology

Abhay Ashtekar, Martin Bojowald, and Jerzy Lewandowski


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.

Article information

Adv. Theor. Math. Phys., Volume 7, Number 2 (2003), 233-268.

First available in Project Euclid: 4 April 2005

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Ashtekar, Abhay; Bojowald, Martin; Lewandowski, Jerzy. Mathematical structure of loop quantum cosmology. Adv. Theor. Math. Phys. 7 (2003), no. 2, 233--268.

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