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arXiv 1306.5812gr-qc
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量子宇宙学将需要成为一门数值学科

Quantum Cosmology will need to become a Numerical Subject

Edward Anderson

摘要:

构成结构形成(星系和CMB热点)基础的不均匀涨落可能是量子宇宙学涨落的种子,并被某种暴胀机制放大。作为一个较低能量的半经典极限,Halliwell-Hawking模型预计将被许多理论所共享。例如,在大尺度下,功率的抑制为O((H/m_pl)^2),这就是结果。这个模型包含/抑制了非常多的术语;我们希望对这些术语的含义以及由它们的不同组合产生的不同制度有一个定性的理解。我研究这个玩具模型,具有易于处理的数学:迷你超空间,特别是相关的粒子力学。在本研讨会中,我特别考虑平均项,并从Hartree-Fock方法中吸取一些经验教训。我们需要把它固定在变分原理上;处理随后的方程是一种数值冒险。

英文摘要:

The inhomogeneous fluctuations that underlie structure formation - galaxies and CMB hotspots - might have been seeded by quantum cosmological fluctuations, as magnified by some inflationary mechanism. The Halliwell-Hawking model for these, as a lower-energy semiclassical limit, is expected to be shared by many theories. E.g. an O((H/m_pl)^2) suppression of power at large scales results from this. This model contains/suppresses very many terms; we want a qualitative understanding of the meaning of these terms and of different regimes resulting from different combinations of them. I study this with toy models that have tractable mathematics: minisuperspace and, especially, relational particle mechanics. In the present Seminar, I consider in particular averaged terms with some lessons from Hartree-Fock approach to Atomic and Molecular Physics. One needs to anchor this on variational principles; treating the subsequent equations is a numerical venture.

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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