AI 中文总结
该研究构建了HBAR通道的信息处理几何理论，推导了近稳态热饱和下的面积成本定律等，确立了HBAR框架中连接黑洞热力学、信息几何与量子信息的每比特每面积原理。
AI 中文摘要
我们在视界增亮加速辐射（HBAR）通道中构建了一种信息处理的几何理论，其中辐射视界面积变化为辐射场携带的信息提供了熵预算。基于视界附近原子-场相互作用的量子光学描述及由此产生的HBAR热力学对应关系，我们推导了近稳态热饱和 regime 下的面积成本定律。辐射场与其环境之间可获取的经典信息和生成的互信息受相关辐射视界面积预算的限制。通过Fano不等式引入可靠性，该不等式将规定的解码错误概率转化为面积要求。我们进一步推导了Fisher信息速度极限，其约束辐射场的统计演化并对关联生成所需时长设定了下限。这些结果共同确立了HBAR框架中连接黑洞热力学、信息几何与量子信息的每比特每面积原理。
英文摘要
We develop a geometric theory of information processing in the Horizon-brightened acceleration radiation (HBAR) channel, in which the radiative horizon-area change provides an entropy budget for the information carried by the radiation field. Building on the quantum-optical description of atom--field interactions near the horizon and the resulting HBAR thermodynamic correspondence, we derive area-cost laws in the near-steady, thermally saturated regime. The accessible classical information and the mutual information generated between the radiation field and its environment are bounded by the associated radiative horizon-area budget. Reliability is incorporated through Fano's inequality, which translates a prescribed decoding error probability into an area requirement. We further derive Fisher-information speed limits that constrain the statistical evolution of the radiation field and place a lower bound on the duration required for correlation generation. Together, these results establish a bits-per-area principle linking black-hole thermodynamics, information geometry, and quantum information in the HBAR framework.
Comments38 pages
