arXiv 2007.037262020-07gr-qc

层析描述中从初始量子态涌现的经典宇宙

Emergent classical universes from initial quantum states in a tomographical description

Cosimo Stornaiolo

备注：: Submitted to International Journal of Geometric Methods in Modern Physics
DOI：: 10.1142/S0219887820501674

摘要：

当用辛层析描述量子和经典物理状态时，它们被统一表示。因此，这种表象使我们能够直接研究经典宇宙从量子态出现的必要条件。在以前对德西特宇宙的研究中，这是通过比较量子断层图像的经典极限与经典宇宙学方程产生的断层图像来完成的。在本文中，我们首先回顾这些结果，并将其推广到所有的de Sitter模型。我们进一步表明，这些断层图像可以直接从转置惠勒-德维特方程的断层变量。随后，由于量子断层图像的经典极限与其渐近表达式确定，我们找到了必要的条件，以推广以前的结果，采取WKB解决方案的Wheeler-DeWitt方程的任何潜在的断层图像。此外，我们在前面的工作中发现，当宇宙学常数衰减到当前值时，de Sitter模型经历了量子到经典的跃迁，最后讨论了我们可以在多大程度上将这个结果推广到更一般的模型。在结论中，在讨论了这项工作的结果的任何改进和发展之后，我们概述了一种唯象方法，从中提取有关宇宙初始状态的信息。

英文摘要：

Quantum and classical physical states are represented in a unified way when they are described by symplectic tomography. Therefore this representation allows us to study directly the necessary conditions for a classical universe to emerge from a quantum state. In the previous study on the de Sitter universe this was done by comparing the classical limit of the quantum tomograms with the tomograms resulting from the classical cosmological equations. In this paper we first review these results and extend them to all the de Sitter models. We show further that these tomograms can be obtained directly from transposing the Wheeler-De Witt equation to the tomographic variables. Subsequently, because the classic limits of the quantum tomograms are identified with their asymptotic expressions, we found the necessary conditions to extend the previous results by taking the tomograms of the WKB solutions of the Wheeler-DeWitt equation with a any potential. Furthermore in the previous works we found that the de Sitter models undergo the quantum-to-classical transition when the cosmological constant decays to its present value, we discuss at the end how far we can extend this result to more general models. In the conclusions, after discussing any improvements and developments of the results of this work, we sketch a phenomenological approach from which to extract information about the initial states of the 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。

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英文摘要：

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