论文标题
基于最小长度不确定性和GW170817和Planck观测值的宇宙恒定问题的可能解决方案
A Possible Solution of the Cosmological Constant Problem based on Minimal Length Uncertainty and GW170817 and PLANCK Observations
论文作者
论文摘要
我们提出了普遍的不确定性原理（GUP），其额外的二次动量术语是由弦理论和黑洞物理学动机，作为Planck量表下最小长度不确定性的量子机械框架。我们证明，GUP参数（$β_0$）可以最好地受到重力波观测的约束。 GW170817活动。此外，我们建议基于修饰的分散关系（MDR）的另一项建议，以计算重力子的组速度与光子的速度之间的差异。我们得出的结论是，上限读取$β_0\ simeq 10^{60} $。利用UV/IR对应关系的特征以及GUP之间的明显相似性（包括对Heisenberg不确定性原理的非剥夺和引力影响）以及理论和观察到的宇宙常数$λ$之间的差异解决这个长期存在的物理问题的解决方案，$λ\ simeq 10^{ - 47}〜$ gev $^4/\ hbar^3 c^3 $。
We propose the generalized uncertainty principle (GUP) with an additional term of quadratic momentum motivated by string theory and black hole physics as a quantum mechanical framework for the minimal length uncertainty at the Planck scale. We demonstrate that the GUP parameter, $β_0$, could be best constrained by the the gravitational waves observations; GW170817 event. Also, we suggest another proposal based on the modified dispersion relations (MDRs) in order to calculate the difference between the group velocity of gravitons and that of photons. We conclude that the upper bound reads $β_0 \simeq 10^{60}$. 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 $Λ$ (apparently manifesting gravitational influences on the vacuum energy density), known as {\it catastrophe of non-gravitating vacuum}, we suggest a possible solution for this long-standing physical problem, $Λ\simeq 10^{-47}~$GeV$^4/\hbar^3 c^3$.
