Contextual emergence was originally proposed as an inter-level relation between different levels of description to describe an epistemic notion of emergence in physics. Here, we discuss the ontic extension of this relation to different domains or levels of physical reality using the properties of temperature and molecular shape (chirality) as detailed case studies. We emphasize the concepts of stability conditions and multiple realizability as key features of contextual emergence. Some broader implications contextual emergence has for the foundations of physics and cognitive and neural sciences are given in the concluding discussion. Relevant facts about algebras of observables are found in the appendices along with an abstract definition of Kubo-Martin-Schwinger states.

中文翻译：

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物理属性的上下文出现

语境涌现最初被提出作为不同描述层次之间的层次间关系来描述物理学中涌现的认知概念。在这里，我们使用温度和分子形状（手性）的特性作为详细的案例研究来讨论这种关系在物理现实的不同领域或水平上的本体扩展。我们强调稳定性条件和多重可实现性的概念是上下文涌现的关键特征。结论性讨论中给出了情境涌现对物理学、认知和神经科学基础的一些更广泛的影响。关于可观测量代数的相关事实以及 Kubo-Martin-Schwinger 状态的抽象定义在附录中找到。