AI 中文总结
该研究针对AdS₅/CFT₄中的平行带，利用边界互信息给出体积极测地线间距的严格下界，通过多尺度迭代推导全局阻碍，确定测地线距离渐近增长，要求经典互信息转变的量子解决方案。
AI 中文摘要
Ryu-Takayanagi理论建立了边界纠缠编码体积极限的方式。我们给出其度规对应：边界互信息对体积极测地线间距施加严格下界，当关联消失时该下界对数发散。多尺度迭代将此局域不等式提升为体连接性的全局阻碍。针对AdS₅/CFT₄中的平行带，该界要求经典互信息转变的量子解决方案，并确定测地线距离的渐近增长。
英文摘要
Ryu-Takayanagi established how boundary entanglement encodes bulk area. We provide the metric counterpart: boundary mutual information imposes a rigorous lower bound on bulk geodesic separation that diverges logarithmically as correlations vanish. A multiscale iteration promotes this local inequality to a global obstruction to bulk connectivity. For parallel strips in AdS$_5$/CFT$_4$, the bound necessitates a quantum resolution of the classical mutual-information transition and fixes the asymptotic growth of geodesic distance.
Comments95 pages, 2 figures
