普朗克尺度下的因果性、不确定性原理与量子时空流形
Causality, Uncertainty Principle, and Quantum Spacetime Manifold in Planck Scale
AI总结：
本文针对普朗克尺度下因果集合论中因果关系、不确定性原理和运动学三个模糊概念，通过重新定义因果关系并引入叠加世界线，论证了运动学在该尺度失效，应代之以量子时空流形。
摘要：
在因果集合论中，存在三个模糊概念，本文试图为解决这些模糊性提供方案。普朗克尺度下的这三个模糊性分别是：事件之间的因果关系、不确定性原理的位置以及运动学。假设事件之间存在相互作用，本文提出了因果关系的新定义。利用叠加原理，为两个相互作用的粒子赋予多于一条世界线，以涵盖不确定性原理。借助这些成果，本文证明运动学在普朗克维度中没有立足之地，应当代之以量子时空流形。
英文摘要：
In causal set theory, there are three ambiguous concepts that this article tries to provide a solution to resolve these ambiguities. These three ambiguities in Planck's scale are: the causal relationship between events, the position of the uncertainty principle, and the kinematic. Assuming the interaction between events, a new definition of the causal relationship is presented. Using the principle of superposition, more than one world line are attributed to two events that are interacting with each other to cover the uncertainty principle. Using these achievements, it is shown that kinematics has no place in the Planck dimension and that quantum spacetime manifold should be used instead.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
