论文标题
可穿越的虫洞和Brouwer固定点定理
Traversable wormholes and the Brouwer fixed-point theorem
论文作者
论文摘要
拓扑中的Brouwer固定点定理指出，对于任何连续映射$ f $，紧凑型凸的$ f $都可以承认一个固定点，即$ x_0 $，因此$ f（x_0）= x_0 $。在某些条件下，该固定点对应于可穿越的虫洞的喉咙，即$ b（r_0）= r_0 $ for Shape函数$ b = b = b（r）$。因此，可以从纯粹的数学考虑因素中推导出虫洞的可能存在，而不会超出现有的物理要求。
The Brouwer fixed-point theorem in topology states that for any continuous mapping $f$ on a compact convex set into itself admits a fixed point, i.e., a point $x_0$ such that $f(x_0)=x_0$. Under certain conditions, this fixed point corresponds to the throat of a traversable wormhole, i.e., $b(r_0)=r_0$ for the shape function $b=b(r)$. The possible existence of wormholes can therefore be deduced from purely mathematical considerations without going beyond the existing physical requirements.
