We propose generalized uncertainty principle (GUP) with an additional term of quadratic momentum motivated by string theory and black hole physics and providing a quantum mechanical framework for the minimal length uncertainty, at the Planck scale. We demonstrate that the GUP parameter, , could be best constrained by the gravitational wave observations, GW170817 event. To determine the difference between the group velocity of graviton and that of the light, we suggest another proposal based on the modified dispersion relations (MDRs). We conclude that the upper bound of reads ≃10⁶⁰. Utilizing features of the UV/IR correspondence and the apparent similarities between GUP (including nongravitating and gravitating impacts on Heisenberg uncertainty principle) and the discrepancy between the theoretical and the observed cosmological constant (obviously manifesting gravitational influences on the vacuum energy density), known as catastrophe of nongravitating vacuum, we suggest a possible solution for this long-standing physical problem,  GeV⁴/ℏ³c³.

中文翻译：

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基于 GW170817 和具有最小长度不确定性的普朗克观测的宇宙学常数问题的一种可能解决方案

我们提出了广义不确定性原理 (GUP)，并在弦理论和黑洞物理学的推动下附加了二次动量项，并为普朗克尺度的最小长度不确定性提供了量子力学框架。我们证明 GUP 参数可以最好地受到引力波观测 GW170817 事件的约束。为了确定引力子群速度和光群速度之间的差异，我们提出了另一个基于修正色散关系（MDR）的建议。我们得出结论，读取的上限 ≃10 ⁶⁰. 利用紫外/红外对应的特征以及 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影响）与理论和观察到的宇宙学常数之间的差异（显然表现出引力对真空能量密度的影响），称为非引力真空的灾难，我们为这个长期存在的物理问题提出了一个可能的解决方案， GeV ⁴ /ℏ ³ c ³。