AI 中文总结
该研究在爱因斯坦-嘉当引力框架下，推导了Blandford-Znajek能量提取的模型依赖解析自旋扭转修正，明确了功率比的贡献来源及各向异性下的功率偏移规律，构建了广义Znajek恒等式等相关框架。
AI 中文摘要
我们在最小耦合爱因斯坦-嘉当-狄拉克-麦克斯韦理论中，研究了紧致中性自旋极化源对Blandford-Znajek能量提取的近视界主导响应。消去代数挠曲后得到有效轴向接触相互作用，将其嵌入守恒的各向异性现象学完备形式中。在固定ADM分支上，以扭转参数ε_T、空间各向异性ξ和慢旋转χ=a/M的主导阶工作，推导了最优负载下的修正能量提取率。我们发现主导阶功率比P_BZ^EC/P_BZ^K来自旋转拖曳（ℓ=1）和静磁通量重分布（ℓ=2）的不同贡献。在各向同性极限（ξ=0）下，共旋转完备形式的功率增强，反旋转的则被抑制；而当ξ≠0时，净偏移取决于极四极响应。我们还构建了广义Znajek恒等式和线性化Grad-Shafranov框架，证明匹配负载点的平稳性使得未确定的负载因子偏移不会改变主导功率系数。
英文摘要
We investigate the leading near-horizon response of Blandford-Znajek energy extraction to a compact, neutral spin-polarized source within minimally coupled Einstein-Cartan-Dirac-Maxwell theory. Eliminating the algebraic contortion yields an effective axial contact interaction, which we embed into a conserved, anisotropic phenomenological completion. Working at leading order in the torsion parameter $ε_T$, spatial anisotropy $ξ$, and slow rotation $χ=a/M$ on the fixed-ADM branch, we derive the modified energy extraction rate at optimal load. We find that the leading-order power ratio $P_{\rm BZ}^{\rm EC}/P_{\rm BZ}^{\rm K}$ receives distinct contributions from rotational dragging ($\ell=1$) and magnetostatic flux redistribution ($\ell=2$). In the isotropic limit ($ξ=0$), the power is enhanced for a co-rotating completion and suppressed for a counter-rotating one, whereas for $ξ\neq0$ the net shift depends on the polar quadrupole response. We also formulate the generalized Znajek identity and linearized Grad--Shafranov framework, demonstrating that undetermined load-factor shifts leave the leading power coefficient invariant due to stationarity at the matched load point.
