Modular Theory, Non-Commutative Geometry and Quantum Gravity

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2010
• Автори: Bertozzini, P., Conti, R., Lewkeeratiyutkul, W
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2010
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146505
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Modular Theory, Non-Commutative Geometry and Quantum Gravity / P. Bertozzini, R. Conti, W. Lewkeeratiyutkul // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 260 назв. — англ.

This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A. Connes non-commutative geometry aiming at the reconstruction of spectral geometries from an operational formalism of states...