Mathematical structure of loop quantum cosmology
Ashtekar, Abhay ; Bojowald, Martin ; Lewandowski, Jerzy
arXiv, 0304074 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-04-21
Classification:  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematical Physics 
@article{0304074,
     author = {Ashtekar, Abhay and Bojowald, Martin and Lewandowski, Jerzy},
     title = {Mathematical structure of loop quantum cosmology},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304074}
}

Ashtekar, Abhay; Bojowald, Martin; Lewandowski, Jerzy. Mathematical structure of loop quantum cosmology. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304074/