因此，研究异维环的分支问题不仅有着广泛的应用背景，而且有着重要的理论价值。

So, the study of heterodimensional cycles has tremendous potential for applications and significant theoretical value.

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科尔黑洞中心是不是奇点而是奇环-由自身动量维持的一维环形。它有两个视界(外部视界和内部视界)以及一个椭圆形的能层(ergosphere)。

At the centre of a Kerr black hole, there is no point singularity, but rather a ring singularity-a spinning one-dimensional ring held open by its own momentum.

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空间不是三维的，事实上拥有弯曲成环的多个维度，这些环小到只有在高能粒子碰撞时才能检测得到。

Instead of being three dimensional, space actually has more dimensions that are curled into little loops too small to be detected except in a high-energy particle collision.

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