Others counter that slight modifications of the cosmological models would avoid the problem, or that Boltzmann's brains can't actually physically form.

其他人则反驳说，对宇宙学模型稍作修改就可以避免这个问题，或者说玻尔兹曼的大脑实际上不可能在物理上形成。

This idea was elaborated by Ptolemy in the second century A.D. into a complete cosmological model.

这个想法在公元二世纪被托勒密阐述为一个完整的宇宙模型。

To their surprise, the researchers found that the old black holes had grown ten times faster than cosmological models would predict.

令他们惊讶的是，研究人员发现，老黑洞的增长速度比宇宙学模型预测的速度快十倍。

In some cosmological models that Steinhardt is investigating, the contraction might turn back into expansion and produce a kind of cyclical universe.

在斯坦哈特正在研究的一些宇宙学模型中，收缩可能会转回膨胀并产生一种循环宇宙。