丰富额外维度的宇宙隐身
Cosmic Cloaking of Rich Extra Dimensions
摘要：
我们提出的论点表明，为什么很难看到\emph{rich}额外的维度在宇宙中。更准确地说，我们研究的条件下，显着的尺寸和变化的额外的维度在卡鲁扎-克莱因紧化导致一个黑洞在低维理论。这个想法是基于关于黑洞存在的环（或捕获面）猜想，以及观察到宏观上大的、扭曲的或高度动态的额外维度的降维对低维理论中的能量密度有积极的贡献，并且可以诱导引力坍缩。我们分析了这些条件，发现在一个理想化的情况下，存在一个阈值的大小，在$10^{-19}m$的顺序，这样的额外维度的长度超过这个水平必须位于黑洞，从而屏蔽他们从外部观察者的看法。这个临界值高度依赖于宇宙的大小，这导致了这样的猜测，即在进化的早期阶段，真正宏观的和大的额外维度是可见的。
英文摘要：
We present arguments that show why it is difficult to see \emph{rich} extra dimensions in the Universe. More precisely, we study the conditions under which significant size and variation of the extra dimensions in a Kaluza-Klein compactification lead to a black hole in the lower dimensional theory. The idea is based on the hoop (or trapped surface) conjecture concerning black hole existence, as well as on the observation that dimensional reduction on macroscopically large, twisted, or highly dynamical extra dimensions contributes positively to the energy density in the lower dimensional theory and can induce gravitational collapse. We analyze these conditions and find that in an idealized scenario a threshold for the size exists, on the order of $10^{-19}m$, such that extra dimensions of length above this level must lie inside black holes, thus shielding them from the view of outside observers. The threshold is highly dependent on the size of the Universe, leading to the speculation that in the early stages of evolution truly macroscopic and large extra dimensions would have been visible.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
