The Quantum Configuration Space of Loop Quantum Cosmology

Details The Quantum Configuration Space of Loop Quantum Cosmology The Quantum Configuration Space of Loop Quantum Cosmology

2007-04-18

arxiv.org/abs/0704.2397v2

Class.Quant.Grav.24:3745-3758,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. Minor changes, typos corrected, 1 reference added. To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/24/14/013

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.

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