论文标题
量子黑洞光谱：使用Ligo-Virgo环检测探测黑洞区域的量子性质
Quantum black hole spectroscopy: probing the quantum nature of the black hole area using LIGO-Virgo ringdown detections
论文作者
论文摘要
我们介绍了Foit＆Kleban（2019）中提出的启发式量化戒指模型的彻底观察调查。该模型基于Bekenstein-Mukhanov的猜想，指出黑洞地平线的面积是普朗克面积的整数倍数$ l_p^2 $乘以现象学常数，$α$，可以将其视为附加的黑洞内在参数。我们的方法是基于对Ligo和处女座协作检测到的二进制黑洞合并的循环阶段产生的重力波信号的时间域分析。采用完整的贝叶斯形式主义并考虑到黑洞参数之间的完整相关结构，我们表明$α$的价值不能仅使用GW150914来限制，与Foit＆Kleban（2019）中的建议相反。 We proceed to repeat the same analysis on the new gravitational wave events detected by the LIGO and Virgo Collaboration up to 1 October 2019, obtaining a combined-event measure equal to $α= 15.6^{+20.5}_{-13.3}$ and a combined log odds ratio of $0.1 \pm 0.6$, implying that current data are not informative enough to favour or discard this model against general relativity.然后，我们表明，使用$ \ Mathcal {O}（20）$ GW150914样的模拟事件 - 通过其设计敏感性以当前的基于地面检测器的基础结构来检测 - 可以自信地伪造量化的模型或证明其有效性或在这种情况下，在这种情况下，在这种情况下，在几个级别上均可估计$α$。最后，我们将可能在人口研究中显示的隐形偏见进行分类。
We present a thorough observational investigation of the heuristic quantised ringdown model presented in Foit & Kleban (2019). This model is based on the Bekenstein-Mukhanov conjecture, stating that the area of a black hole horizon is an integer multiple of the Planck area $l_P^2$ multiplied by a phenomenological constant, $α$, which can be viewed as an additional black hole intrinsic parameter. Our approach is based on a time-domain analysis of the gravitational wave signals produced by the ringdown phase of binary black hole mergers detected by the LIGO and Virgo collaboration. Employing a full Bayesian formalism and taking into account the complete correlation structure among the black hole parameters, we show that the value of $α$ cannot be constrained using only GW150914, in contrast to what was suggested in Foit & Kleban (2019). We proceed to repeat the same analysis on the new gravitational wave events detected by the LIGO and Virgo Collaboration up to 1 October 2019, obtaining a combined-event measure equal to $α= 15.6^{+20.5}_{-13.3}$ and a combined log odds ratio of $0.1 \pm 0.6$, implying that current data are not informative enough to favour or discard this model against general relativity. We then show that using a population of $\mathcal{O}(20)$ GW150914-like simulated events - detected by the current infrastructure of ground-based detectors at their design sensitivity - it is possible to confidently falsify the quantised model or prove its validity, in which case probing $α$ at the few % level. Finally we classify the stealth biases that may show up in a population study.
