The Quantum Configuration Space of Loop Quantum Cosmology
arXiv:0704.2397 · doi:10.1088/0264-9381/24/14/013
Abstract
The article gives an account of several aspects of the space known as the Bohr compactification of the line, featuring as the quantum configuration space in loop quantum cosmology, as well as of the corresponding configuration space realization of the so-called polymer representation. Analogies with loop quantum gravity are explored, providing an introduction to (part of) the mathematical structure of loop quantum gravity, in a technically simpler context.
14 pages. Minor changes, typos corrected, 1 reference added. To appear in Class. Quantum Grav