Quantum Spacetime, Quantum Geometry and Planck scales

被引：0
|
作者：
Doplicher, Sergio [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, Piazzale Aldo Moro 5, I-00185 Rome, Italy
来源：
EXPOSITIONES MATHEMATICAE | 2020年 / 38卷 / 02期
关键词：
Quantum spacetime; Quantum geometry; Quantum field theory;
D O I：
10.1016/j.exmath.2020.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Principles of Quantum Mechanics and of Classical General Relativity indicate that Spacetime in the small (Planck scale) ought to be described by a noncommutative C* Algebra, implementing spacetime uncertainty relations. A model C* algebra of Quantum Spacetime and its Quantum Geometry is described. Interacting Quantum Field Theory on such a background is discussed, with open problems and recent progress. Applications to cosmology suggest that the Planck scale ought to depend upon dynamics, and possible consequences in the large of the quantum structure in the small are outlined. (C) 2020 Elsevier GmbH. All rights reserved.
引用
收藏
页码：168 / 179
页数：12
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