论文标题
黑洞的生产，永恒的通货膨胀和准清理空间中的信息
Black hole production, eternal inflation, and information in quasi-de Sitter space
论文作者
论文摘要
当慢速参数$ε_h$小于$ h^2/m _ {\ rm pl}^2 $时，地平线交叉后的Eftraton的量子波动足够大，可以实现永恒的通货膨胀。尽管它们不会产生足够的充气密度波动，以在准清理空间中产生黑洞，但当自由度的及时迅速增加时，它们也可以产生辐射的巨大密度波动，如距离猜想所预测的那样。我们认为，辐射的密度波动不够大，无法产生黑洞，直到通货膨胀结束等于无永恒的通货膨胀条件。当地平线发射的辐射不会产生黑洞时，即使自由度的时间增加，也不会出现信息悖论，以$ε_h$大于$ 10^{ - 7}（h^2/ m _ {\ rm pl}^2）$，并且时间比例缩放时间缩短了$ 10^4（m _^2）$（m _ plm^2）。无论信息悖论的存在如何，静态观察者都无法检索足够数量的信息，这与互补性一致。
When the slow-roll parameter $ε_H$ is smaller than $H^2/M_{\rm Pl}^2$, the quantum fluctuations of the inflaton after the horizon crossing are large enough to realize eternal inflation. Whereas they do not generate a sufficient amount of density fluctuation of the inflaton to produce the black hole in quasi-de Sitter space, they can also generate the sizeable density fluctuation of the radiation when the number of degrees of freedom increases rapidly in time, as predicted by the distance conjecture. We argue that the condition that the density fluctuation of the radiation is not large enough to produce the black hole until the end of inflation is equivalent to the no eternal inflation condition. When the radiation emitted by the horizon does not produce the black hole, even if the number of degrees of freedom increases in time, the information paradox does not arise for $ε_H$ larger than $10^{-7} (H^2/ M_{\rm Pl}^2)$ and time scale shorter than $10^4 (M_{\rm Pl}/H^2)$. Regardless of the presence of the information paradox, a static observer cannot retrieve a sufficient amount of information, which is consistent with the complementarity.
