论文标题

在整洁描述中,来自初始量子状态的新兴古典宇宙

Emergent classical universes from initial quantum states in a tomographical description

论文作者

Stornaiolo, Cosimo

论文摘要

当量子和经典的物理状态通过符号层析成像描述时以统一的方式表示。因此,这种表示使我们能够直接研究经典宇宙从量子状态中出现的必要条件。在先前关于DE Sitter宇宙的研究中,这是通过将量子断层图的经典极限与经典宇宙学方程产生的断层图进行比较来完成的。在本文中,我们首先回顾这些结果并将其扩展到所有DE Sitter模型。我们进一步表明,可以直接将这些断层图从将Wheeler-De Witt方程转换为层析成像变量中获得。随后,由于量子断层图的经典限制与它们的渐近表达式相识别,因此我们发现了必要的条件,通过将Wheeler-Dewitt方程的WKB溶液的横纹具有任何潜力来扩展先前的结果。此外,在先前的作品中,我们发现,当宇宙常数衰减到其现值时,DE Sitter模型会经历量子到古典的过渡,最后我们讨论了我们可以将此结果扩展到更一般的模型。在结论中,在讨论了这项工作结果的任何改进和发展之后,我们绘制了一种现象学方法,从中提取有关宇宙初始状态的信息。

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.

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