AI 中文总结
研究磁支撑广义海沃德黑洞在非线性电动力学中的耦合引力电磁响应，通过构建理论计算准正则谱等多种特性，验证相关性质，得到不同参数下的具体数据，这些可观测量为非线性电动力学算符提供一致诊断。
AI 中文摘要
我们在特定的非线性电动力学完备理论中构建了磁支撑广义海沃德黑洞的外部耦合引力和电磁响应。两个宇称扇区都简化为具有显式势的规范双通道波系统，并具有正确的史瓦西和有效雷斯纳 - 诺德斯特龙极限。我们计算了准正则谱、度规和光学特性、极值喉部权重、四极波转换、有限带宽传输和相干吸收本征通道，同时验证了外部双曲性和通量守恒。一个有效的带电算符捕捉了主导的弱核心几何和模式混合；减去它之后，剩余层级与主要电磁分支中的三次谱修正以及主要引力分支和主要散射可观测量中的四次修正一致。基本四极分支在$\chi\simeq0.70$附近本质上线宽分离，而宇称分裂仍然是次要的。度规和光学特性族朝着极值单调分离。在$\chi = 0.9$时，正宇称反射转换达到$45.8\%$，中等带宽平均后仍为$40.8\%$，而相干入射组合产生$98.4\%$的亮吸收和$1.3\%$的暗吸收。这些独立评估的可观测量为同一非线性电动力学算符提供了相互一致的诊断。
英文摘要
We construct the exterior coupled gravitational and electromagnetic response of a magnetically supported generalized Hayward black hole within a specified nonlinear electrodynamic completion. Both parity sectors reduce to canonical two channel wave systems with explicit potentials and the correct Schwarzschild and effective Reissner--Nordström limits. We compute the quasinormal spectrum, metric and optical characteristics, extremal throat weights, quadrupolar wave conversion, finite bandwidth transfer, and coherent absorption eigenchannels while verifying exterior hyperbolicity and flux conservation. An effective charged operator captures the leading weak core geometry and mode mixing; after its subtraction, the residual hierarchy is consistent with cubic spectral corrections in the primarily electromagnetic branch and quartic corrections in the primarily gravitational branch and principal scattering observables. The fundamental quadrupolar branches become intrinsically linewidth separated near $χ\simeq0.70$, whereas parity splitting remains subleading. Metric and optical characteristic families separate monotonically toward extremality. At $χ=0.9$, positive parity reflected conversion reaches $45.8\%$ and remains $40.8\%$ after moderate bandwidth averaging, while coherent incident combinations yield $98.4\%$ bright and $1.3\%$ dark absorption. These independently evaluated observables provide mutually consistent diagnostics of the same nonlinear electrodynamic operator.
