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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测试洛伦兹不变性违背时伽马射线暴的能量相关固有时间延迟


伽马射线暴（GRB）的高能光子可能在不同的本征时间发射，并且在源处具有能量依赖性。在这封信中，我们利用费米伽马射线太空望远镜观测到的伽玛暴数据扩展了之前测试洛伦兹不变性破坏（LV）工作的模型。我们使用完整的贝叶斯参数估计方法重新分析先前的数据，并通过假设时间延迟是由于 LV 项和恒定的固有时间延迟项而得到一致的结果。随后，我们忽略 LV 效应，只考虑固有的时延效应。我们假设一个共同的本征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，能量相关的发射时间也可以解释观测到的高能光子事件的伽马射线暴数据。最后，我们将这两种物理机制整合到一个统一的模型中，以利用观测到的伽玛暴数据来区分和评估它们各自的贡献。