There is a famous criterion for objective wave function reduction which is derived by using the Shrödinger–Newton equation [L Diosi, Phys. Lett. A 105 ( 4–5 ), 199 (1984)]. In this regard, a critical mass for the transition from quantum world to the classical world is determined for a particle or an object. In this paper, we shall derive that criterion by using the concept of Bohmian trajectories. This study has two consequences. The first is, it provides a geometric framework for the problem of wave function reduction. The second is, it represents the role of quantum and gravitational forces in the reduction process.

中文翻译：

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客观引力波函数约简的几何观察

目标波函数减少有一个著名的标准，它是通过使用 Shrödinger-Newton 方程 [L Diosi, Phys. 莱特。A 105 ( 4–5 ), 199 (1984)]。在这方面，从量子世界过渡到经典世界的临界质量是为粒子或物体确定的。在本文中，我们将使用波姆轨迹的概念推导出该标准。这项研究有两个后果。首先，它为波函数约简问题提供了几何框架。第二，它代表了量子力和引力在还原过程中的作用。