描述物理性质的因果关系和传播的量子面
Quantaloids Describing Causation and Propagation of Physical Properties
摘要:
一个一般原则的“因果对偶”的物理系统,躺在基础上的复合和不断发展的系统的表示定理,证明;正式编码在quantaloidal设置。量子态和量子态态射的其他特殊例子也自然地出现在这种背景下;就像因果对偶的情况一样,它们起源于物理系统属性格上的原始物理推理。此外,一个基本上是动态的操作基础研究物理系统的概述;补充,因为它是现有的静态操作基础,它导致自然公理化的“因果对偶”在操作量子逻辑。
英文摘要:
A general principle of `causal duality' for physical systems, lying at the base of representation theorems for both compound and evolving systems, is proved; formally it is encoded in a quantaloidal setting. Other particular examples of quantaloids and quantaloidal morphisms appear naturally within this setting; as in the case of causal duality, they originate from primitive physical reasonings on the lattices of properties of physical systems. Furthermore, an essentially dynamical operational foundation for studying physical systems is outlined; complementary as it is to the existing static operational foundation, it leads to the natural axiomatization of `causal duality' in operational quantum logic.
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