论文标题
依赖于时钟的时空
Clock-dependent spacetime
论文作者
论文摘要
爱因斯坦的一般相对论理论基于以下前提：物理定律在所有坐标系统中采用相同的形式。但是，它仍然假定将总运动学希尔伯特空间的首选分解为局部运动学希尔伯特空间。在本文中，我们考虑了一种量子重力理论，该理论并非与运动学希尔伯特空间的首选分区有关。可以指出的是，在这种理论中，时空的维度，签名，拓扑和几何形状取决于如何在运动学希尔伯特空间中选择本地时钟的集合。
Einstein's theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local kinematic Hilbert spaces. In this paper, we consider a theory of quantum gravity that does not come with a preferred partitioning of the kinematic Hilbert space. It is pointed out that, in such a theory, dimension, signature, topology and geometry of spacetime depend on how a collection of local clocks is chosen within the kinematic Hilbert space.
