发表机构
University of KwaZulu-Natal; Khazar University; Jadara University; Hassan II University of Casablanca; Ibn Tofail University; Abdus Salam International Centre for Theoretical Physics; Central Asian University; University of Tashkent for Applied Sciences; Ulugh Beg Astronomical Institute; Kimyo International University in Tashkent; Samarkand State University of Architecture and Construction（夸祖鲁-纳塔尔大学; 哈扎尔大学; 贾达拉大学; 卡萨布兰卡哈桑二世大学; 伊本·图费勒大学; 阿卜杜勒·萨拉姆国际理论物理中心; 中亚大学; 塔什干应用科学大学; 乌鲁伯格天文研究所; 塔什干Kimyo国际大学; 撒马尔罕国立建筑与建设大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究探讨相干量子黑洞模型中正弦积分修正对光子运动及阴影结构的影响，发现阴影半径变小且结构更复杂，并在阴影边界出现辐射增强，为量子引力效应提供潜在观测特征。
AI 中文摘要
黑洞时空的量子修正可能导致与经典广义相对论预测的可观测偏差，特别是在事件视界附近的强引力区域。在此背景下，相干量子黑洞模型引入了对引力势的正弦积分修正，其特征是相干尺度 \\(R_s\\)，该修正软化了中心奇点并改变了近地平线几何。受黑洞成像和强场观测精度不断提高的推动，我们探讨了这些量子诱导效应对光子运动及由此产生的阴影结构的影响。考虑区间 \\(R_s \in [0.5M, 1.2M]\\) 内的代表性值，我们表明光子球向内移动，而临界碰撞参数减小，在 \\(R_s=0.5M\\) 时达到 \\(b_{\rm crit}\approx 4.764M\\) 等值。因此，阴影半径系统性变小，并发展出比 Schwarzschild 情形（\\(b_{\rm crit}=3\sqrt{3}M \approx 5.196M\\)）更复杂的结构。对相应强度分布的分析还揭示了阴影边界附近辐射的显著增强，特别是在中等相干尺度下。这一特征可归因于光子在逃逸至远处观测者之前，在修正后的近地平线区域内停留时间更长。因此，这种亮度增加可能为地平线尺度上的量子修正提供一种可能的观测特征。此外，尽管该几何允许辐射和能量在有效视界表面周围积累，但其对扰动的响应不同于具有稳定光环的致密天体。积累表面在反作用效应下不是收缩，而是向外移动。
英文摘要
Quantum modifications of black hole spacetimes can lead to observable departures from the predictions of classical general relativity, particularly in the strong-gravity regime near the event horizon. In this context, the coherent quantum black hole model introduces a sine-integral correction to the gravitational potential, characterized by a coherence scale \(R_s\), which softens the central singularity and alters the near-horizon geometry. Motivated by the growing precision of black hole imaging and strong-field observations, we explore how these quantum-induced effects influence photon motion and the resulting shadow structure. Considering representative values within the interval \(R_s \in [0.5M, 1.2M]\), we show that the photon sphere shifts inward while the critical impact parameter decreases, reaching values such as \(b_{\rm crit}\approx 4.764M\) for \(R_s=0.5M\). Consequently, the shadow radius becomes systematically smaller and develops a more intricate structure than in the Schwarzschild case (\(b_{\rm crit}=3\sqrt{3}M \approx 5.196M\)). The analysis of the corresponding intensity distributions also reveals a pronounced enhancement of radiation near the shadow boundary, especially for intermediate coherence scales. This feature can be attributed to photons remaining longer within the modified near-horizon region before escaping toward distant observers. Such an increase in brightness may therefore provide a possible observational signature of quantum corrections at horizon scales. Furthermore, although the geometry allows radiation and energy to accumulate around an effective horizon surface, its response to perturbations differs from that expected for compact objects with stable light rings. Instead of contracting under backreaction effects, the accumulation surface shifts outward.
Comments11 pages, 4 figures, Article accepted for publication in Physics Letters B
