论文标题
Braneworld中GUP的精细结构常数对量子重力约束
Quantum Gravity Constraints on Fine Structure Constant from GUP in Braneworlds
论文作者
论文摘要
在浓密的braneworld场景中讨论了普遍的不确定性原理（GUP）。通过在此背景下考虑Rydberg原子，我们表明时空几何形状会影响麦克斯韦方程，从而在空间上诱导有效的介电常数。反过来，重力相互作用被校正后的库仑电势会产生$ 3 $维的Bohr半径的偏差。然后，我们在高维时空中计算出由于GUP而在精细结构上的校正。我们还通过将预测偏差与良好结构常数的最新经验数据进行比较，发现了变形参数$β$和$ d $ d $二维的限制限制。我们计算中间长度尺度，原则上可能大于普朗克长度尺度。据推测，应进行低于这种比例的量子重力效应。
The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric constant on the space. In its turn, the corrected Coulomb potential by the gravitational interaction yields a deviation on the $3$-dimensional Bohr radius. Then, we compute the corrections on the fine structure constant owing to the GUP in higher-dimensional spacetime. We also found constraints for the deformation parameter $β$ and $D$-dimensional Planck length $l_{D}$ by comparing the predicted deviations with the recent empirical data of the fine structure constant. We compute the intermediate length scale, which in principle may be larger than the Planck length scale. It is conjectured that below such scale Quantum Gravity effects should take place.
