In this paper, I discuss the impact of the positive cosmological constant on the interplay between the equivalence principle in general relativity, and the rules of quantum mechanics. At the nonrelativistic level, there is an ambiguity in the definition of a phase of a wave function measured by inertial and accelerating observes. This is the cosmological analogue of the Penrose effect, which can also be seen as a nonrelativistic limit of the Unruh effect. The symmetries of the associated Schrödinger equation are generated by the Newton–Hooke algebra, which arises from a nonrelativistic limit of a cosmological twistor space.

中文翻译：

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等效原理、去西特空间和宇宙扭转量

在本文中，我讨论了正宇宙常数对广义相对论等效原理与量子力学规则之间相互作用的影响。在非相对论层面，通过惯性和加速观测测量的波函数相位的定义存在模糊性。这是彭罗斯效应的宇宙学模拟，也可以看作是昂鲁效应的非相对论极限。相关薛定谔方程的对称性是由牛顿-胡克代数生成的，该代数源自宇宙扭量空间的非相对论极限。