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arXiv 1002.0349astro-ph.HE
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用费米约束Lorentz不变性破坏

Constraining Lorentz Invariance Violation with Fermi

Vlasios Vasileiou

摘要:

狭义相对论的基石是洛伦兹不变性,即所有观测者测量的光子速度完全相同,与光子能量无关。然而,一个假设的时空结构可能会在超小尺度上改变这一结论,这是目前研究的许多量子引力(QG)形式主义所允许的一种可能性。广义不确定原理表明,这种效应可能发生在光子能量接近普朗克能量$E_{Planck}=M_{Planck} c^2 \simeq 1.22\times10^{19} GeV$的情况下。尽管所有已探测到的光子都具有$E_{ph}<<E_{Planck}$的能量,但即使是光速的微小变化,当在宇宙学光旅行时间内积累起来时,也可以通过对伽马射线暴(GRB)光变曲线中尖锐特征的高时间分辨率测量来揭示。在这里,我们报告了一项研究的结果,该研究使用了由\textit{Fermi}的LAT和GBM仪器探测到的GRB 090510的发射,该仪器对光子的速度对它们的能量的依赖性设置了前所未有的限制。我们发现,线性能量色散的质量/能量标度必须远高于普朗克标度,这使得任何受影响的QG模型都非常不可信。

英文摘要:

A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies. However, a hypothesized structure of spacetime may alter this conclusion at ultra-small length scales, a possibility allowed in many of the Quantum-Gravity (QG) formalisms currently investigated. A generalized uncertainty principle suggests that such effects might occur for photon energies approaching the Planck energy, $E_{Planck}=M_{Planck} c^2 \simeq 1.22\times10^{19} GeV$. Even though all photons yet detected have energies $E_{ph}<<E_{Planck}$, even a tiny variation in the speed of light, when accumulated over cosmological light-travel times, may be revealed by high temporal-resolution measurements of sharp features in Gamma-Ray Burst (GRB) lightcurves. Here we report the results of a study using the emission from GRB 090510 as detected by \textit{Fermi}'s LAT and GBM instruments, that set unprecedented limits on the dependence of the speed of photons on their energy. We find that the mass/energy scale for a linear in energy dispersion must be well above the Planck scale, something that renders any affected QG models highly implausible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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