当n > 3时，在n空间中没有稳定的引力或静电束缚原子
No stable gravitationally or electrostatically bound atoms in n-space for n > 3
摘要：
它表明，在一般情况下，稳定的引力或静电轨道是不可能的空间维度n >=4，特别是原子不能绑定在更高的维度的能量约束。此外，角动量不能在四维空间中以通常的方式量子化，导致对质量的有趣约束。因此，卡鲁扎·克莱因和弦论可能会受到影响，因为弦论展开的更高维度似乎不允许能量稳定的原子存在。这也关系到在亚毫米距离上对引力的1/r2偏差的研究。这里的结果意味着这种偏离必须发生在小于~ 10-8 cm处，因为如果卷曲的尺寸大于这个尺寸，原子将是不稳定的。
英文摘要：
It is demonstrated in general that stable gravitational or electrostatic orbits are not possible for spatial dimensions n >=4, and in particular atoms cannot be bound by energy constraints in higher dimensions. Furthermore, angular momentum cannot be quantized in the usual manner in 4-space, leading to interesting constraints on mass. Thus Kaluza Klein and string theory may be impacted since it appears that the unfurled higher dimensions of string theory will not permit the existence of energetically stable atoms. This also has bearing on the search for deviations from 1/r2 of the gravitational force at sub-millimeter distances. The results here imply that such a deviation must occur at less than ~ 10-8 cm, since atoms would be unstable if the curled up dimensions were larger than this.
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