论文标题
量子重力中的时空图片
The Spacetime Picture in Quantum Gravity
论文作者
论文摘要
我们提出了一种方法，该方法通过结合回路量子重力（LQG）的见解，Topos理论，非交通性几何形状和时空关系主义，为在量子重力中搜索足够的时空图片提供了肥沃的基础。通过这种方法，我们获得了一种新颖的方式来推论表面面积可能值的量化。一个人获得的面积值比标准LQG中区域运营商的面积值相同，但是我们的方法进一步预测：一些较小的值和细分也允许。此外，该区域作为两个非共同点之间的非交通距离出现，因此应将其解释为物理级别（非交通距离的区域解释）在物理级别上的不可约合弦乐对象。
We propose an approach which, by combining insights from Loop Quantum Gravity (LQG), Topos theory, Non-commutative Geometry à la Connes, and spacetime relationalism, provides fertile ground for the search of an adequate spacetime picture in Quantum Gravity. With this approach, we obtain a novel way of deducing the quantization of the possible values for the area of a surface. One gets the same area values than those from the area operator in standard LQG, but our approach makes a further prediction: some smaller values and sub-divisions are also allowed. In addition, the area arises as a noncommutative distance between two noncommutative points, and thus they should be interpreted as irreducible string-like objects at the physical level (where the area interpretation for the noncommutative distance holds).
