论文标题
$κ$ - 共同宇宙学中的分散关系
Dispersion Relations in $κ$-Noncommutative Cosmology
论文作者
论文摘要
我们研究了波动方程在弯曲背景下的非交通变形，并讨论了由于非交通性而导致的分散关系的修改，结合了时空的曲率。我们的非交换差异几何方法是基于Drinfeld扭转变形的，可以针对任何扭曲和任何弯曲背景实现。我们详细讨论了约旦扭曲$ - $ - 给出$κ$ -Minkowski Spacetime in Flat Space $ - $ - 在Friedman-Lema- Robertson-Walker（FLRW）宇宙学背景下。我们获得了一个新的表达方式，以线性地取决于$ e_ {ph} / e_ {lv} $（Photon Energy / Lorentz违规量表）的比例，但也与宇宙学时间，Hubble参数和与量表因子成反比。
We study noncommutative deformations of the wave equation in curved backgrounds and discuss the modification of the dispersion relations due to noncommutativity combined with curvature of spacetime. Our noncommutative differential geometry approach is based on Drinfeld twist deformation, and can be implemented for any twist and any curved background. We discuss in detail the Jordanian twist $-$giving $κ$-Minkowski spacetime in flat space$-$ in the presence of a Friedman-Lemaître-Robertson-Walker (FLRW) cosmological background. We obtain a new expression for the variation of the speed of light, depending linearly on the ratio $E_{ph}/E_{LV}$ (photon energy / Lorentz violation scale), but also linearly on the cosmological time, the Hubble parameter and inversely proportional to the scale factor.
