有限图上的扭量理论
Twistor theory on a finite graph
摘要：
我们展示了如何在闵可夫斯基空间作为一个不断发展的家庭的半共形映射的剪切自由射线同余的描述可以自然地制定一个有限的图形。为此，我们引入了图上全纯函数的概念。在一个规则的三次色图上，我们恢复了时空图像。在扭量理论的精神中，光线是更基本的对象，时空点应该从其导出，线图，其点是原始图的边缘，应该被认为是基本对象。彭罗斯扭量对应在这方面进行了讨论。
英文摘要：
We show how the description of a shear-free ray congruence in Minkowski space as an evolving family of semi-conformal mappings can naturally be formulated on a finite graph. For this, we introduce the notion of holomorphic function on a graph. On a regular coloured graph of degree three, we recover the space-time picture. In the spirit of twistor theory, where a light ray is the more fundamental object from which space-time points should be derived, the line graph, whose points are the edges of the original graph, should be considered as the basic object. The Penrose twistor correspondence is discussed in this context.
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