论文标题
无量子宇宙学
Quantum Cosmology of the Nothing
论文作者
论文摘要
量子宇宙学使用波函数来建模宇宙，但是为此找到解决方案会带来问题，因为很难定义边界条件或确定路径积分的正确路径。我们开始讨论各种建议，并研究如何将气泡宇宙成核用作隧道波函数的类比。我们回顾了Hartle-Hawking波函数和隧道波函数是等效的。这导致了如何将减速和加速扩展之间的过渡作为连接空间中的反弹。这是在玩具模型世界中完成的，该宇宙仅包含辐射和宇宙常数$λ$。波函数是在事件波，反射波和evanscent波的叠加。当它是由波数据包构造的。使用玩具模型，我们将宇宙隧道的新概念介绍给连接空间的反弹期间的另一个古典区域。通过得出Evanescent Wave $ψ_{ev} $的波函数来探索这个概念，以计算$ |ψ|^2 $，以指示宇宙隧道的概率到另一个经典区域。
Quantum cosmology uses a wave function to model the universe, but finding solutions for this poses a problem as it is difficult to define the boundary conditions or identify the correct path for a path integral. We begin the discussion by going over various proposals and look at how bubble universe nucleation can be used as an analogy for the tunneling wave function. We review how the Hartle-Hawking wave function and tunneling wave functions are equivalent. This leads into how the transition between the decelerated and accelerated expansion is formulated as a bounce in connection space. This is done in a toy model Universe that contains only radiation and a cosmological constant $Λ$. The wave function is a superposition on an incident wave, a reflected wave, and an evanescent wave; when it is constructed from wave packets. Using the toy model, we introduce the new concept of the universe tunneling to a different classical region during this bounce in connection space. This concept is explored by deriving the wave function of the evanescent wave $ψ_{ev}$ in order to calculate $|ψ|^2$ to give an indication of the probability of the universe tunneling to another classical region.
