Nature Abhors a Circle

《大自然憎恶对数吗？》（Does Nature Abhor a Logo？”（显然她没有）

A follow-up to 'Does Nature abhor a logarithm?' (and apparently she doesn't)

这封信包含了一个简短的讨论领导秩序的规范校正的贝肯斯坦-霍金（黑洞）熵。特别是，我们解决一些最近的批评针对较早的评注。

Nature abhors a horizon

The information paradox can be resolved if we recognize that the wavefunctional in gravity $Ψ[g]$ should be considered on the {\it whole} of superspace, the space of possible $g$. The largeness of the Bekenstein entropy implies a vast space of gravitational solutions, which are conjectured to be fuzzball configurations. In the WKB approximation, the wavefunctional for a collapsing shell is oscillatory in a small region of superspace, and the classical approximation picks out this part. But the wavefunctional will be damped (`under the barrier') in the remainder of this vast superspace. We perf…

评论黑洞熵或自然憎恶对数？

A comment on black hole entropy or does Nature abhor a logarithm?

最近，人们对量子修正形式的贝肯斯坦-霍金黑洞熵产生了浓厚的兴趣。一致的观点是，首阶校正应该是视界面积的对数;然而，对数前因子的值仍然是一个值得注意的争议点。最近，霍德采用了统计参数，限制这个前因子是一个非负整数。在本文中，我们引用了一些独立的考虑来论证前因子的“最佳猜测”可能只是零。值得注意的是，这个值符合先前的预测，而且似乎暗示了一些基本的对称性。

拓扑与宇宙微波背景

Topology and the Cosmic Microwave Background

大自然憎恶无穷大。广义相对论的极限常常以无穷大为标志：如黑洞中心的无限曲率，奇异大爆炸的无限能量。我们可能倾向于在无法忍受的无限的列表中添加一个无限的宇宙。超越了广义相对论的理论自然会把空间视为有限的。在这篇评论中，我们讨论了有限空间的数学和我们的愿望，以观察宇宙的有限范围内的宇宙背景辐射。

Compact binary inspiral: Nature is perfectly happy with a circle

It is standard lore that gravitational radiation reaction circularizes the orbits of inspiralling binary systems. But in recent papers, Loutrel et al. have argued that at late times in such inspirals, one measure of eccentricity actually increases, and that this could have observable consequences. We show that this variable, the magnitude of the Runge-Lenz vector ($e_{\rm RL}$), is not an appropriate measure of orbital eccentricity, when the eccentricity is smaller than the leading non-Keplerian perturbation of the orbit. Following Loutrel et al., we use Newtonian equations of motion plus the …

LIGO-Virgo events localization as a test of gravitational wave polarization state

The detection of the gravitational wave events GW150914, GW151226, LVT 151012 and GW170104 by the Advanced LIGO antennas has opened a new possibility for the study of fundamental physics of gravitational interaction. We suggest a new method for determining the polarization state of a gravitational wave, which is independent of the nature of a GW source. For this, we calculate the allowed sky positions of GW sources along apparent circles. This is done for each polarization state by considering the sensitivity pattern of each antenna and relative amplitudes of detected signals. The positions of…