论文标题
通过TAUB模型发现物质源量子宇宙学中物质源的通用效应
Towards Uncovering Generic Effects Of Matter Sources In Anisotropic Quantum Cosmologies Via Taub Models
论文作者
论文摘要
当存在宇宙常数和电磁场时，我们以封闭形式为taub模型求解惠勒·德威特方程。通过这样做，我们检查了具有上述物质源的量子陶布模型的“激发态”，并证明存在数量无限的“激发”状态。此外，我们证明了使用“虫洞”的taub类似物以及其欧几里得 - 签名汉密尔顿雅各布方程的“无象孔”的taub类似物，证明了洛伦兹签名惠勒·德威特方程的多种渐近解决方案；我们还研究了他们的“激动状态”。最后，我们定性地研究了我们的物质源如何影响波浪功能的行为，并争论在量子宇宙学背景下这些效应如何指向原始电磁场如何在早期宇宙中发挥着重要作用。
We solve the Wheeler DeWitt equation for the Taub models in closed form when both a cosmological constant and an electromagnetic field are present. In doing so, we examine the 'excited states' of the quantum Taub models with the aforementioned matter sources, and prove the existence of a countably infinite number of 'excited' states. Additionally, we prove the existence of multiple asymptotic solutions to the Lorentzian signature Wheeler DeWitt equation using the Taub analogues of the 'wormhole', and 'no boundary' solutions of its Euclidean-signature Hamilton Jacobi equation; we also study their 'excited states. In the end we investigate qualitatively how our matter sources affect the behavior of our wave functions and argue how these effects within the context of quantum cosmology point to how a primordial electromagnetic field could have played a profound role in the early universe.
