论文标题
在cotangent束中的几何形状的变形量表上的约束
Constraints on the deformation scale of a geometry in the cotangent bundle
论文作者
论文摘要
有几项研究提出了特殊和一般相对性变形的现象学后果。在这里，我们对Cotangent束中度量的变形参数进行了新的限制，该指标是弯曲的动量空间的。在不断扩展的宇宙中，我们研究了三个可能限制我们模型的可能观察结果，重点是速度，红移和光度距离的变形，这些距离在上述框架中取决于粒子的能量。我们发现，对于依赖能量的速度，无质量颗粒没有时间延迟，因为观察到的与源的距离取决于能量。对于红移和光度距离，我们看到某些KEV的顺序可能与我们的模型兼容。这表明，高能量量表的约束参数将动量依赖性偏差与弗里德曼·罗伯逊 - 沃克指标的偏差目前较弱，这是因为观察性约束中所需的精度（而不是能量）非常高。但是，在考虑同步加速器辐射时并非如此。实际上，从螃蟹星云中观察到这种发射的变形，导致高能下的跨云母传播，从而对1 PEV的高能量尺度构成了限制。
There are several studies proposing phenomenological consequences of a deformation of special and general relativity. Here, we cast novel constraints on the deformation parameter of a metric in the cotangent bundle accounting for a curved momentum space. In an expanding universe, we study three possible observations that could restrict our model, focusing on the deformations of velocity, redshift and luminosity distance, which in the aforementioned framework, depend on the energy of the particles. We find that for an energy dependent velocity there would be no time delay for massless particles since also the observed distance to the source depends on the energy. For the redshift and luminosity distance we see that a scale of the order of some keV could be compatible with our model. This shows that the constraints on the high-energy scale parametrizing the momentum dependent deviation from a Friedmann-Robertson-Walker metric are at the moment weak due to the fact that the precision (rather than energies) needed in the observational constraints are extremely high. However, this is not the case when considering the synchrotron radiation. Indeed, the observation of such emission from the Crab Nebula, for deformations leading to subluminal propagation at high energies, leads to a constraint for the high-energy scale of the order of 1 PeV.
