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Euclidean quantum gravity and stochastic approach: Physical reality of complex-valued instantons

机译:欧几里德量子重力和随机方法:复杂算命局的物理现实

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In this talk, we compare two states: the stationary state in stochastic inflation and the ground state wave function of the universe. We already know that, for the potential with a static field, two pictures give the same probability distribution. Here, we go beyond this limit and assert that two pictures indeed have deeper relations. We illustrate a simple example so that there is a corresponding instanton if a certain field value has a non-zero probability in the statistical side. This instanton should be complex-valued. Furthermore, the compact manifold in the Euclidean side can be interpreted as a coarse-graining grid size in the stochastic universe. Finally, we summarize the recent status and possible applications.
机译:在这次谈话中,我们比较两个国家:随机通胀中的静止状态和宇宙的地态波函数。我们已经知道,对于具有静态场的潜力,两张图片提供相同的概率分布。在这里,我们超越了这个限制并断言这两张图片确实具有更深的关系。我们示出了一个简单的示例,使得如果某个字段值在统计侧具有非零概率,则存在相应的算法。这个instanton应该复杂化。此外,Euclidean侧的紧凑歧管可以被解释为随机宇宙中的粗血管栅格尺寸。最后,我们总结了最近的地位和可能的应用。

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