发表机构
S.N. Bose National Centre for Basic Sciences（S.N. 玻色基础科学国立中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究页面时间后不同子系统集互信息行为，通过特定子系统互信息饱和获正确页面曲线，给出计算三方互信息方法，揭示几何纠缠守恒等
AI 中文摘要
在本文中，我们给出了关于页面时间后场景中两组不同子系统互信息行为的一个非常重要的观察结果。这为我们提供了关于几何纠缠守恒的一些深刻见解。我们展示了两个特定子系统之间互信息的饱和在获得永恒黑洞的正确页面曲线中起着至关重要的作用。我们还给出了计算三方互信息的方法。
英文摘要
In this article, we have presented one of the very important observations, regarding the behavior of mutual information of two different sets of subsystems in the after Page time scenario. This provides us with some deep insights about the redistribution of geometrical correlation between the two different sets of subsystems on a Cauchy slice. In our earlier works, we have shown how the saturation of mutual information between two specific subsystems plays a vital role in obtaining the correct Page curve for the eternal black hole. In those works, we have shown that the mutual information between $B_+$ and $B_-$, that is, $I(B_{+}: B_{-})$, vanishes at scrambling time, which leads to the correct Page curve. That means that at scrambling time, there is no correlation between $B_+$ and $B_-$. Remarkably, it is observed that at this particular value of observer's time, the mutual information between $\mathcal{I}$ and $R$, that is, $I(\mathcal{I}:R)$, becomes singular. This indicates that the regions $\mathcal{I}$ and $R$ become maximally entangled. This provides us with a notion of the transfer of geometric correlation between different regions on the Cauchy slice. In this work, we have also provided a way to calculate the tripartite mutual information of regions $\mathcal{I}$,~$R_+$ and $R_-$, that is, $I(\mathcal{I}:R_+:R_-)$ on the Cauchy slice using the earlier results involving the bipartite regions. This is a new result which was missing in the earlier literature.
Commentsv1: 12 pages Latex, 4 Figures, v2: 13 pages Latex, 6 Figures. v2 matches with the published version
DOI：10.1140/epjc/s10052-026-16291-x
