发表机构
Beihang University; Peng Huanwu Collaborative Center for Research and Education, Beihang University（北京航空航天大学; 彭桓武研究院，北京航空航天大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出三边界部分纠缠热态（PETS$_3$）及其体三边界小册子几何，通过Israel结条件约束并验证自洽性，重算子探针显示探测与普适比为3，可区分三边界与双边界态。
AI 中文摘要
部分纠缠热态（PETS）通过重壳层插入提供了黑洞微态的准经典族。我们扩展了这一壳层态框架，通过将双指标插入数据替换为三价结张量，提出了三边界部分纠缠热态（PETS$_3$）。相应的体三边界小册子几何受Israel结条件的准经典约束，使我们能够识别对称和混合取向分支的候选。我们通过计算对称全黑洞扇区中的态数来验证该构造的自洽性。使用重算子探针，我们进一步估计探测与普适之比为$Z_D/Z_U \simeq 3$，是双边界值$3/2$的两倍。这些结果表明，定位于一个边界的精细调谐探针可以测试所提出的三边界壳层态，并可能将其与双边界对应态区分开来。
英文摘要
Partially entangled thermal states (PETS) provide semiclassical families of black-hole microstates prepared through heavy shell insertions. We extend this shell-state framework and propose three-boundary partially entangled thermal states (PETS$_3$) by replacing the two-index insertion data with a trivalent junction tensor. The corresponding bulk three-boundary booklet geometry is constrained semiclassically by the Israel junction condition, allowing us to identify candidate symmetric and mixed-orientation branches. We verify the self-consistency of this construction by counting states in the symmetric all-black-hole sector. Using a heavy-operator probe, we further estimate the detection-to-universal ratio to be $Z_D/Z_U \simeq 3$, twice the two-boundary value of $3/2$. These results suggest that a fine-tuned probe localized on one boundary can test the proposed three-boundary shell state and potentially distinguish it from its two-boundary counterpart.
Comments30 pages, 11 figures
