We investigate thoroughly the temporal evolution of the universe temperature as a function of the Hubble parameter associated with the Stochastic Gravitational Wave (SGW), that formed at the cosmological QCD phase transition epoch to the current epoch, within the Generalized Uncertainty Principle (GUP) framework. Here we use GUP version which provide constraints on the minimum measurable length and the maximum observable momentum, that characterized by a free parameter α. We study the effect of this parameter on the SGW background. We show that the effect can slightly enhance the SGW frequency in the lower frequency regime which might be important in the detection of SGW in the future GW detection facilities.

我们在广义不确定性原理 (GUP) 框架内彻底研究了宇宙温度的时间演化作为与随机引力波 (SGW) 相关的哈勃参数的函数，随机引力波 (SGW) 是在宇宙学 QCD 相变时期到当前时期形成的. 这里我们使用 GUP 版本，它提供对最小可测量长度和最大可观察动量的约束，其特征在于自由参数α。我们研究了这个参数对 SGW 背景的影响。我们表明，该效果可以略微提高低频范围内的 SGW 频率，这对于未来 GW 检测设施中的 SGW 检测可能很重要。