Exploring the Causal Structures of Almost Commutative Geometries

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2014
• Автори: Franco, N., Eckstein, M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146845
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Exploring the Causal Structures of Almost Commutative Geometries / N. Franco, M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ.

We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R¹,¹)⊗M₂(C), which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition...