引力偏爱庞加莱十二面体空间吗？
Does gravity prefer the Poincare dodecahedral space?
摘要：
宇宙微波背景观测中的涨落缺失问题可以用均匀小宇宙模型自然地解释。在均匀模型中，庞加莱十二面体空间是经验上的青睐。引力是否有利于这个空间？剩余重力效应是指一个大质量物体在附近一个质量可忽略的测试物体上的多个拓扑图像中，由弱极限重力引起的剩余加速度。在目前的时代，剩余重力效应在三个均匀空间中比在不均匀空间中弱大约一百万倍。然而，在庞加莱空间中，这种效应仍然弱10，000倍，即庞加莱空间比不成比例的空间“更好地平衡”大约10^{10}倍。观测和弱极限动力学都选择庞加莱空间是特殊的。
英文摘要：
The missing fluctuations problem in cosmic microwave background observations is naturally explained by well-proportioned small universe models. Among the well-proportioned models, the Poincare dodecahedral space is empirically favoured. Does gravity favour this space? The residual gravity effect is the residual acceleration induced by weak limit gravity from multiple topological images of a massive object on a nearby negligible mass test object. At the present epoch, the residual gravity effect is about a million times weaker in three of the well-proportioned spaces than in ill-proportioned spaces. However, in the Poincare space, the effect is 10,000 times weaker still, i.e. the Poincare space is about 10^{10} times "better balanced" than ill-proportioned spaces. Both observations and weak limit dynamics select the Poincare space to be special.
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