天空中的钟声
Bell violation in the Sky
摘要：
本文从量子力学的基本原理出发，研究了在宇宙学背景下建立贝尔不等式破坏实验的可能性。首先，我们从在宇宙学背景下实施贝尔不等式违反的物理动机开始。为了建立宇宙学Bell破坏实验，我们引入了一个与模型无关的理论框架，利用该框架研究了在附加含时质量贡献的情况下标量涨落的WKB近似方法产生新的大质量粒子的问题。然后利用背景标量涨落和新的含时质量贡献，显式地计算了单点和两点关联函数的表达式。此外，利用一个点函数的结果，我们引入了一个新的理论宇宙学参数，它可以表示为其他已知的暴胀观测量，也可以被视为未来的理论探索，打破各种模型之间的暴胀简并。此外，我们还在没有任何原始引力波先验知识的情况下，以一种与模型无关的方式确定了暴胀的尺度。最后，我们还评述了从同位旋破缺相互作用测量的技术性以及在宇宙学Bell破坏实验中引入新的大质量粒子的前景。此外，我们引用了一个精确的例子，这个设置适用于弦论激励的轴子单值模型的上下文中。然后，我们评论了退相干效应和高自旋在宇宙学Bell破坏实验中的作用。总之，我们给出了标量场、引力子和其他高自旋场的重粒子质量参数的理论界。
英文摘要：
In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell's inequality violation in the context of cosmology. Then to set up the cosmological Bell violating test experiment we introduce a model independent theoretical framework using which we have studied the creation of new massive particles by implementing the WKB approximation method for the scalar fluctuations in presence of additional time dependent mass contribution. Next using the background scalar fluctuation in presence of new time dependent mass contribution, we explicitly compute the expression for the one point and two point correlation functions. Furthermore, using the results for one point function we introduce a new theoretical cosmological parameter which can be expressed in terms of the other known inflationary observables and can also be treated as a future theoretical probe to break the degeneracy amongst various models of inflation. Additionally, we also fix the scale of inflation in a model independent way without any prior knowledge of primordial gravitational waves. Next, we also comment on the technicalities of measurements from isospin breaking interactions and the future prospects of newly introduced massive particles in cosmological Bell violating test experiment. Further, we cite a precise example of this set up applicable in the context of string theory motivated axion monodromy model. Then we comment on the explicit role of decoherence effect and high spin on cosmological Bell violating test experiment. In fine, we provide a theoretical bound on the heavy particle mass parameter for scalar fields, graviton and other high spin fields from our proposed setup.
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