类施瓦西量子修正黑洞简并光子球附近的视界增亮加速辐射与偏转角
Horizon-Brightened Acceleration Radiation and the Deflection Angle Near a Degenerate Photon Sphere of Schwarzschild-like Quantum-Corrected Black Hole
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中文总结 AI 辅助
该研究在类施瓦西量子修正黑洞时空下，分析简并光子球附近的HBAR、偏角强偏折展开，推导相关定律，为量子引力提供近视界辐射的观测探针。
中文摘要 AI 辅助
我们在量子修正黑洞时空背景下，研究简并光子球附近散射光线的视界增亮加速辐射（HBAR）及偏转角的强偏折展开。我们表征了视界结构与热力学，利用临界轨道处的非奇异处理从近临界轨道贡献中提取偏角积分的发散部分，得到唯一的主导幂律项。就最近接近半径而言，强偏折主导系数可分解为通用分支常数与包含简并光子球处有效势三阶导数的局域因子。在量子层面，我们推导了与HBAR相关的近视界约化，证明主导探测器响应的部分具有共形行为，产生由视界温度表征的热激发谱。我们对辐射场采用Lindblad主方程框架，确立了热稳态的存在，得到满足克劳修斯型第一定律结构的HBAR熵能关系。此外，我们推导了HBAR谱的维恩型位移定律，将峰值波长与视界热力学关联，从而通过近视界辐射提供量子引力的额外可观测探针。
英文摘要
We investigate horizon-brightened acceleration radiation (HBAR) and a strong-deflection expansion for the deflection angle of light rays scattered in the vicinity of a degenerate photon sphere, within the context of a quantum-corrected black hole spacetime. We characterize the horizon structure and thermodynamics, and we extract the divergent part of the deflection-angle integral from the near-marginal-orbit contribution using a nonsingular prescription at marginality, obtaining a unique leading power-law term. In terms of the closest-approach radius, the strong-deflection leading coefficient factorizes into a universal branch constant and a local factor involving the third derivative of the effective potential at the degenerate photon sphere. On the quantum side, we develop the near-horizon reduction relevant to HBAR, demonstrating that the dominant sector governing the detector response exhibits conformal behavior and yields a thermal excitation spectrum characterized by the horizon temperature. We adopt a Lindblad master-equation framework for the radiation field, establish the existence of a thermal steady state, and obtain an HBAR entropy-energy relation that satisfies a Clausius-type first-law structure. Also, we derive a Wien-type displacement law for the HBAR spectrum, connecting the peak wavelength to horizon thermodynamics and thereby providing an additional observable probe of quantum gravity via near-horizon radiation.
