The quantum configuration space of loop quantum cosmology
JM Velhinho - Classical and Quantum Gravity, 2007 - iopscience.iop.org
Classical and Quantum Gravity, 2007•iopscience.iop.org
This paper 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.
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.
Abstract
This paper 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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