Relational Blockworld：走向量子力学的离散图论基础
Relational Blockworld: Towards a Discrete Graph Theoretic Foundation of Quantum Mechanics
摘要：
基于我们对量子力学（QM）的解释，我们提出了一种基于图的离散路径积分形式，称为关系块世界（RBW）。在我们的方法中，过渡振幅不被视为所有场配置的总和，而是用于测量离散微分算子和离散作用源向量的对称性的数学机器。因此，我们将路径积分限制在离散微分算子的行空间中，该空间也包含离散源向量，以避免奇异性。在这种方式中，我们得到的两个源的过渡振幅在一个“梯形”图与N个顶点。我们在双缝实验的背景下解释这个解决方案。
英文摘要：
We propose a discrete path integral formalism over graphs fundamental to quantum mechanics (QM) based on our interpretation of QM called Relational Blockworld (RBW). In our approach, the transition amplitude is not viewed as a sum over all field configurations, but is a mathematical machine for measuring the symmetry of the discrete differential operator and source vector of the discrete action. Therefore, we restrict the path integral to the row space of the discrete differential operator, which also contains the discrete source vector, in order to avoid singularities. In this fashion we obtain the two-source transition amplitude over a "ladder" graph with N vertices. We interpret this solution in the context of the twin-slit experiment.
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