Intersecting Quantum Gravity with Noncommutative Geometry - a Review

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2012
• Автори: Aastrup, J., Grimstrup, J.M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2012
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/148411
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Intersecting Quantum Gravity with Noncommutative Geometry - a Review / J. Aastrup, J.M. Grimstrup // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 51 назв. — англ.

We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored. Next, we present the construction of a spectral triple over an algebra of holo...