标题： 伽马射线暴数据的蒙特卡洛模拟以检验洛伦兹不变性破缺 显示英文标题

标题： Monte Carlo simulation of GRB data to test Lorentz-invariance violation

摘要： 洛伦兹不变性破坏（LV）在接近普朗克能区的能量尺度上对于理解量子引力现象起到了关键的探测作用。 伽马射线暴（GRB）的天体物理观测为测试由LV引起的光谱滞后现象提供了一种有前景的方法；然而，由于LV效应和固有发射延迟之间的退化，这些解释变得复杂。 本研究系统地调查了三种竞争性的时延模型：模型A（LV时延与恒定固有时延相结合）、模型B（无LV的能量依赖型固有时延）和模型C（LV时延与能量依赖型固有时延相结合）。 我们利用在不同延迟机制下生成的模拟GRB数据集，并对10个GRB的模拟观测采用贝叶斯参数估计方法。 我们的发现表明，模型C在所有数据集中都能一致地恢复输入参数。 相比之下，模型A和模型B在面对替代机制生成的数据时难以协调，特别是在处理来自GRB 190114C和GRB 221009A的高能TeV光子时。 我们的分析确认，在模型C中引入能量依赖型固有时延对于建立稳健的LV限制至关重要，有效地解决了多GeV和TeV光子发射解释中的先前歧义。 结果验证了模型C作为未来LV搜索的通用框架，基于现实数据集得出亚光速LV尺度为\(E_{\rm LV} \simeq 3 \times 10^{17}\)GeV。 这些发现与早先基于费米-拉特（Fermi-LAT）数据集得到的约束一致。 这项工作强调了在下一代LV研究中使用诸如LHAASO和CTA等天文台时，联合建模LV和天体物理发射过程的必要性。 显示英文摘要

摘要： Lorentz-invariance violation (LV) at energy scales approaching the Planck regime serves as a critical probe for understanding quantum gravity phenomenology. Astrophysical observations of gamma-ray bursts (GRBs) present a promising avenue for testing LV-induced spectral lag phenomena; however, interpretations are complicated by degeneracies between LV effects and intrinsic emission delays. This study systematically investigates three competing time delay models: Model A (LV delay combined with a constant intrinsic delay), Model B (energy-dependent intrinsic delay without LV), and Model C (LV delay combined with energy-dependent intrinsic delay). We utilize mock GRB datasets generated under distinct delay mechanisms and employ Bayesian parameter estimation on simulated observations of 10 GRBs. Our findings demonstrate that Model C consistently recovers input parameters across all datasets. In contrast, Models A and B struggle to reconcile data generated under alternative mechanisms, particularly when confronted with high-energy TeV photons from GRB 190114C and GRB 221009A. Our analysis confirms that the incorporation of energy-dependent intrinsic delays in Model C is essential for establishing robust LV constraints, effectively resolving prior ambiguities in the interpretation of multi-GeV and TeV photon emissions. The results validate Model C as a generalized framework for future LV searches, yielding a subluminal LV scale of \(E_{\rm LV} \simeq 3 \times 10^{17}\) GeV based on realistic datasets. These findings are consistent with earlier constraints derived from Fermi-LAT datasets. This work underscores the necessity for joint modeling of LV and astrophysical emission processes in next-generation LV studies utilizing observatories such as LHAASO and CTA.