High-energy photons of gamma-ray bursts (GRBs) might be emitted at different intrinsic times with energy dependence at the source. In this letter, we expand the model from previous works on testing the Lorentz Invariance Violation (LV) with the observed GRB data from the Fermi Gamma-ray Space Telescope. We reanalyze the previous data with the full Bayesian parameter estimation method and get consistent results by assuming that the time delays are due to an LV term and a constant intrinsic time delay term. Subsequently, we neglect the LV effect and only consider the intrinsic time delay effect. We assume a common intrinsic time delay term along with a source energy correlated time delay of high-energy photons. We find that the energy-dependent emission times can also explain the observed GRB data of high-energy photon events. Finally, we integrate these two physical mechanisms into a unified model to distinguish and evaluate their respective contributions using the observed GRB data.

中文翻译：

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伽马射线暴在测试洛伦兹不变性违规时的能量相关固笙时间延迟


伽马射线暴 （GRB） 的高能光子可能在不同的内禀时间发射，能量依赖性在源头。在这封信中，我们扩展了以前工作中的模型，即使用费米伽马射线太空望远镜观测到的 GRB 数据来测试洛伦兹不变性违规 （LV）。我们使用完整的贝叶斯参数估计方法重新分析了以前的数据，并通过假设时间延迟是由于 LV 项和常数内禀时间延迟项来获得一致的结果。随后，我们忽略了 LV 效应，只考虑了固有的延时效应。我们假设一个常见的固有时间延迟项以及高能光子的源能量相关时间延迟。我们发现，与能量相关的发射时间也可以解释观察到的高能光子事件的 GRB 数据。最后，我们将这两种物理机制整合到一个统一的模型中，以使用观察到的 GRB 数据区分和评估它们各自的贡献。