论文标题
来自扰动量子重力的非交通性几何形状
Non-commutative Geometry from Perturbative Quantum Gravity
论文作者
论文摘要
试图将根本非交通的时空与保守的量子重力方法联系起来，我们被带到了自然的问题：在扰动量子重力提供预测框架的政权中，非交通性的几何效应是否已经存在？此外，是否有必要手工引入非交流性，还是通过量子杀人效应而产生？我们表明，第一个问题可以在肯定的问题中回答，而第二个问题是否定的：扰动量子重力在普朗克量表上预测非共同性，一旦有人阐明了量子理论中可观察到的结构。
Trying to connect a fundamentally non-commutative spacetime with the conservative perturbative approach to quantum gravity, we are led to the natural question: are non-commutative geometrical effects already present in the regime where perturbative quantum gravity provides a predictive framework? Moreover, is it necessary to introduce non-commutativity by hand, or does it arise through quantum-gravitational effects? We show that the first question can be answered in the affirmative, and the second one in the negative: perturbative quantum gravity predicts non-commutativity at the Planck scale, once one clarifies the structure of observables in the quantum theory.
