Based on quantum mechanical framework for the minimal length uncertainty, we demonstrate that the generalized uncertainty principle (GUP) parameter could be best constrained by recent gravitational waves observations on one hand. On the other hand, this suggests modified dispersion relations (MDRs) enabling an estimation for the difference between the group velocity of gravitons and that of photons. Utilizing features of the UV/IR correspondence and the obvious similarities between GUP (including non‐gravitating and gravitating impacts on Heisenberg uncertainty principle) and the discrepancy between the theoretical and the observed cosmological constant (apparently manifesting gravitational influences on the vacuum energy density), we suggest a possible solution for the cosmological constant problem.

中文翻译：

---

宇宙常数问题的最小长度不确定性方法

基于最小长度不确定性的量子力学框架，我们证明了广义不确定性原理（GUP）参数可能最好一方面受到最近引力波观测的约束。另一方面，这表明修正的色散关系（MDR）使得能够估计引力子的群速度和光子的群速度之间的差异。利用UV / IR对应关系的特征以及GUP之间的明显相似性（包括对海森堡不确定性原理的非引力和引力的影响）以及理论和实测宇宙学常数之间的差异（显然表现出重力对真空能密度的影响），我们建议宇宙常数问题的一种可能的解决方案。