AI 中文总结
该研究针对黑洞信息悖论，提出基于信息曲率标度原理的演化模型，建立了黑洞相关物理结构的对应关系，为量子引力理论提供唯象学约束。
AI 中文摘要
黑洞信息悖论揭示了量子幺正性与半经典引力之间的根本矛盾。尽管纠缠岛范式能够重现佩奇曲线，但量子极值曲面的物理本质及信息转移的微观机制仍有待阐明。本文将量子信息视为基本守恒量，采用信息曲率标度原理，提出黑洞内部不存在奇点，取而代之的是编码量子信息的信息曲面及附着的溢出场结构。该模型将黑洞蒸发分为两个阶段：不饱和阶段与饱和阶段。在不饱和阶段，霍金辐射耗散溢出场，导致纠缠熵稳步增加；在饱和阶段，溢出场完全耗尽，信息曲面发生碎裂与重构，发射携带量子信息的高能粒子，推动纠缠熵逐渐下降。在黑洞蒸发的最终阶段，所有残余量子信息与质量均通过量子爆发完全释放。该模型建立了事件视界与量子极值曲面、信息曲面与纠缠岛之间的物理对应关系，可为量子引力理论提供若干唯象学约束。
英文摘要
The black hole information paradox exposes a fundamental contradiction between quantum unitarity and semiclassical gravity. Although the entanglement island paradigm is capable of reproducing the Page curve, the physical essence of quantum extremal surfaces and the microscopic mechanism of information transfer have yet to be clarified. Taking quantum information as a fundamental conserved quantity and adopting the principle of information curvature scaling, this paper argues that no singularity exists inside a black hole. Instead, there exist information surfaces encoding quantum information and attached overflow field structures. The model divides black hole evaporation into two stages: the unsaturated stage and the saturated stage. During the unsaturated stage, Hawking radiation dissipates the overflow field, resulting in a steady increase of entanglement entropy. In the saturated stage, the overflow field is completely exhausted. The information surface then undergoes fragmentation and reconstruction, emitting high-energy particles carrying quantum information and driving a gradual decline in entanglement entropy. At the very final stage of black hole evaporation, all residual quantum information and mass are released entirely through a quantum outburst. This model establishes the physical correspondences between the event horizon and the quantum extremal surface, as well as between the information surface and the entanglement island, which can provide some phenomenological constraints for quantum gravity theories.
Comments12 pages, 6 figures, general-physics original theoretical work
Journal refEur. Phys. J. P 141, 799 (2026)
DOI：10.1140/epjp/s13360-026-08012-w
