Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Bojowald, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149374
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models / M. Bojowald// Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 101 назв. — англ.

The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian. As a first consequence, it is seen that the usual approach of quantizing Abelian models using spaces...