论文标题
量子奇异性
Quantum Singularities
论文作者
论文摘要
如果广义熵满足$ s _ {\ text {gen}}}^{b \ cup r} <s _ {\ text {gen}}^r $，则两个空间区域$ b $和$ r $被超ONTANGER AFTRANGEN如果所有未来（或过去）都向内定向$ b $降低$ s _ {\ text {gen}}}^{b \ cup r} $的变形，那么我们表明，$ b $的因果发展，固定$ r $固定，必须是不完整的。该结果从最近证明的奇异定理的假设中消除了无效的能量条件。取而代之的是，我们假设Bousso绑定的量子版本。在页面时间之后，我们将$ r $包含鹰辐射，我们的定理预测在过去的黑洞内部因果发展中会有奇异性。这是令人惊讶的，因为过去的时空过去是非语言的。但是，人们发现要包含$ r $的凯奇切片不会保留在半经典制度中。我们定理预测的量子奇异性是对进一步的半经典进化的阻碍，从而推广了经典的一般相对性的奇异性。
Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies $S_{\text{gen}}^{B\cup R}<S_{\text{gen}}^R$. If in addition all future (or all past) directed inward null shape deformations of $B$ decrease $S_{\text{gen}}^{B\cup R}$, then we show that the causal development of $B$, with $R$ held fixed, must be incomplete. This result eliminates the Null Energy Condition from the assumptions of a recently proven singularity theorem. Instead, we assume a quantum version of the Bousso bound. Taking $R$ to contain the Hawking radiation after the Page time, our theorem predicts a singularity in the past causal development of the black hole interior. This is surprising because the classical spacetime is nonsingular in the past. However, one finds that Cauchy slices that are required to contain $R$ do not remain in the semiclassical regime. The quantum singularities predicted by our theorem are an obstruction to further semiclassical evolution, generalizing the singularities of classical general relativity.
