标题： GRB数据的蒙特卡罗模拟以检验洛伦兹不变性破坏 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）在接近普朗克尺度的能量下，为理解量子引力现象学提供了一个关键的探测手段。 对伽马射线暴（GRBs）的天体物理观测为测试由LV引起的能谱延迟现象提供了有希望的途径；然而，由于LV效应和固有发射延迟之间的退化，解释变得复杂。 本研究系统地调查了三种竞争的时间延迟模型：模型A（结合常数固有延迟的LV延迟），模型B（无LV的能量依赖固有延迟），以及模型C（结合能量依赖固有延迟的LV延迟）。 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的模拟观测进行贝叶斯参数估计。 我们的研究结果表明，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在处理由其他机制生成的数据时遇到困难，尤其是在面对来自GRB 190114C和GRB 221009A的高能TeV光子时尤为明显。 我们的分析确认，在模型C中引入能量依赖的固有延迟对于建立稳健的LV约束至关重要，有效解决了之前在多GeV和TeV光子发射解释中的模糊性。 结果验证了模型C作为未来LV搜索的通用框架，基于真实数据集得出亚光速LV尺度为\(E_{\rm LV} \simeq 3 \times 10^{17}\) GeV。 这些发现与之前从费米-LAT数据集中得出的约束一致。 这项工作强调了在下一代LV研究中，需要联合建模LV和天体物理发射过程，利用如LHAASO和CTA等观测站。 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.