利用Taub模型揭示各向异性量子宇宙学中物质源的类属效应
Towards Uncovering Generic Effects Of Matter Sources In Anisotropic Quantum Cosmologies Via Taub Models
摘要：
当同时存在宇宙学常数和电磁场时，我们求解了封闭形式的Taub模型的Wheeler-DeWitt方程。在此过程中，我们研究了具有上述物质源的量子Taub模型的“激发态”，并证明了存在可数无限个“激发”态。此外，我们还证明了利用“虫洞”的Taub模拟的Lorentzian签名Wheeler DeWitt方程的多个渐近解的存在性，以及它的Euclidean签名Hamilton Jacobi方程的“无边界”解的存在性，并研究了它们的“激发态”.最后，我们定性地研究了物质源如何影响我们的波函数的行为，并讨论了量子宇宙学背景下的这些效应如何指向原始电磁场如何在早期宇宙中发挥了深远的作用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
