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arXiv 2202.08412gr-qcastro-ph.CO
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标度不变真空范式:主要结果与进展

The Scale Invariant Vacuum Paradigm: main results and current progress

Vesselin G. Gueorguiev, Andre Maeder

摘要:

我们提出了一个总结的主要成果内的规模不变真空(SIV)的范例有关的外尔可积几何。在简要回顾了数学框架之后,我们将重点介绍与SIV中的暴胀相关的主要结果[9],密度涨落的增长[8],以及SIV在Galerkin,MOND,暗物质和矮椭球的标度不变动力学中的应用[7]。还讨论了弱场SIV结果与重新参数化范式中的不适当时间参数化的联系[14]。

英文摘要:

We present a summary of the main results within the Scale Invariant Vacuum (SIV) paradigm as related to the Weyl Integrable Geometry. After a brief review of the mathematical framework, we will highlight the main results related to inflation within the SIV [9], the growth of the density fluctuations [8], and the application of the SIV to scale-invariant dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals [7]. The connection of the weak-field SIV results to the un-proper time parametrization within the re-parametrization paradigm is also discussed [14].

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