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（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·图菲利大学; 阿卜杜斯·萨拉姆理论物理国际中心; 中亚大学; 塔什干应用科学大学; 乌鲁格别克天文研究所; 塔什干化学国际大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过X射线双星QPO和S2轨道约束量子修正OS黑洞的有效参数α，发现最小视界质量并给出α=0.22±0.10的一致范围。
AI 中文摘要
我们研究了一种量子修正的Oppenheimer--Snyder (OS)时空，其中经典坍缩由一个单一有效参数\\(\alpha\\)修正，该参数以现象学重标度形式代表微小的量子引力效应。尽管修正通过一个正比于\\(\alpha M^2/r^4\\)的项进入，它在强场区域产生显著变化，而几乎不改变弱场物理。主要结果之一是视界形成的最小质量的出现，对于有效参数\\(\alpha\approx0.22\\)，\\(M_{\min} \sim(0.5-1.2)\\,M_\odot\\)。我们强调，这个\\(M_{\min}\\)是用有效参数\\(\alpha\\)表示的；就裸圈量子引力（LQG）参数而言，\\(M_{\min}\sim M_{\text{Pl}}\sim10^{-5}\\)克，与理论预期一致。轨道性质也略有修改，最内稳定圆轨道（ISCO）移至\\(r_{\rm ISCO}=6M-\alpha/(12M)\\)，对于恒星质量黑洞给出约\\( \sim 10^{-4} \\)的修正，对于Sgr A$^\ast$给出约\\(\sim 10^{-10}\\)的修正。在同一区域，径向epicyclic频率在\\(r\sim5M\\)附近变化约\\(5\\%-10\\%\\)，而垂直模式受影响较小，导致准周期振荡（QPO）行为出现小而结构化的偏移。利用四个X射线双星（GRS 1915+105、XTE J1550-564、XTE J1859+226、GRO J1655-40），我们发现一致的范围\\(\alpha=0.22\pm0.10\\)，质量在\\(5.4-12.4\\,M_\odot\\)之间，发射半径\\(r/M \sim 5.5 - 8.6\\)。观测到的QPO频率在\\(100-450\\) Hz范围内，在此框架内得到很好的重现。诸如S2和水星等弱场测试仍然允许\\(f_{\rm sp}=1.10 \pm 0.19\\)，为这些小的强引力修正留下了空间。
英文摘要
We study a quantum-corrected version of the Oppenheimer--Snyder (OS) spacetime in which classical collapse is modified by a single effective-parameter \(α\), representing small-quantum-gravitational effects in a phenomenologically rescaled-form. Although the correction enters through a term proportional to \(αM^2/r^4\), it produces noticeable changes in the strong-field region while leaving weak-field physics almost unchanged. One of the main results is the appearance of a minimum-mass for horizon-formation, \(M_{\min} \sim(0.5-1.2)\,M_\odot\) for the effective-parameter \(α\approx0.22\). We emphasize that this \(M_{\min}\) is expressed in terms of the effective-parameter \(α\); in terms of the bare loop-quantum-gravity (LQG) parameter, \(M_{\min}\sim M_{\text{Pl}}\sim10^{-5}\)~g, consistent with the theoretical-expectation. Orbital properties are also slightly modified, with the innermost-stable-circular-orbit (ISCO) shifting to \(r_{\rm ISCO}=6M-α/(12M)\), giving corrections-of-order \( \sim 10^{-4} \) for stellar-black-holes and \(\sim 10^{-10}\) for Sgr A$^\ast$. In the same region, radial epicyclic frequencies change by about \(5\%-10\%\) near \(r\sim5M\), while vertical modes are less affected, leading to small but structured shifts in quasi-periodic oscillation (QPO) behavior. Using four X-ray binaries (GRS 1915+105, XTE J1550-564, XTE J1859+226, GRO J1655-40), we find a consistent range \(α=0.22\pm0.10\), with masses between \(5.4-12.4\,M_\odot\) and emission radii \(r/M \sim 5.5 - 8.6\). The observed QPO frequencies, lying in the range \(100-450\) Hz, are well reproduced within this framework. Weak-field tests such as S2 and Mercury still allow \(f_{\rm sp}=1.10 \pm 0.19\), leaving room for these small strong-gravity corrections.
Comments13 pages, 3 figures, accepted for publication in Physics Letters B
