论文标题
量子重力模型的上下文扩展
Contextual extensions of quantum gravity models
论文作者
论文摘要
我们提出了一种将上下文扩展结构结合到量子重力模型中的简单方法。 $ c^*$ - 代数的上下文扩展最初是为上下文隐藏变量而提出的，它被推广到由上下文索引的锥体及其在类别中的限制。通过将量子重力模型作为函子抽象，我们将上下文扩展作为这些函数在几个量子重力模型中的分类限制。量子重力模型的这种上下文扩展可用于构建量子重力的拓扑理论模型。
We present a simple way of incorporating the structure of contextual extensions into quantum gravity models. The contextual extensions of $C^*$-algebras, originally proposed for contextual hidden variables, are generalized to the cones indexed by the contexts and their limit in a category. By abstracting the quantum gravity models as functors, we study the contextual extensions as the categorical limits of these functors in several quantum gravity models. Such contextual extensions of quantum gravity models are useful for building topos-theoretic models of quantum gravity.
