论文标题
有限增强DSR中的分散关系
Dispersion relations in finite-boost DSR
论文作者
论文摘要
我们通过求解修改后的生成器的微分方程，在Planck Length $ L_P $的一阶中找到有限的增强转换DSR理论。我们获得了这些转换的相应分散关系，这有助于我们通过四种类型对DSR理论进行分类。我们分类的最终类型具有相同的特殊相对论分散关系，但转换不是洛伦兹。在DSR理论中，光子的速度通常与普通速度C不同，并且具有时间延迟，但是在这种新的DSR光中具有相同的特殊相对论速度，无需延迟。一个特殊情况表明，在观察结果中，任何对量子重力效应的搜索都与DSR一致。
We find finite-boost transformations DSR theories in first order of the Planck length $l_p$, by solving differential equations for the modified generators. We obtain corresponding dispersion relations for these transformations, which help us classify the DSR theories via four types. The final type of our classification has the same special relativistic dispersion relation but the transformations are not Lorentz. In DSR theories, the velocity of photons is generally different from the ordinary speed c and possess time delay, however in this new DSR light has the same special relativistic speed with no delay. A special case demonstrates that any search for quantum gravity effects in observations which gives a special relativistic dispersion relation is consistent with DSR.
