Quantum gravity has been baffling the theoretical physicist for decades now, both for its mathematical obscurity and phenomenological testing. Nevertheless, the new era of precision cosmology presents a promising avenue to test the effects of quantum gravity. In this study, we consider a bottom-up approach. Without resorting to any candidate quantum gravity, we invoke a generalized uncertainty principle (GUP) directly into the cosmological Hamiltonian for a universe sourced by a phantom scalar field with potential to study the evolution of the universe in a very early epoch. This is followed by a systematic analysis of the dynamics, both qualitatively and quantitatively. Our qualitative analysis shows that the introduction of GUP significantly alters the existence of fixed points for the potential considered in this paper. In addition, we confirm the existence of an inflationary phase and analyze the behavior of relevant cosmological parameters with respect to the strength of the GUP distortion.

几十年来，量子引力一直困扰着理论物理学家，无论是因为它的数学晦涩难懂，还是因为它的现象学测试。尽管如此，精确宇宙学的新时代为测试量子引力的影响提供了一条有前途的途径。在这项研究中，我们考虑了一种自下而上的方法。在不求助于任何候选量子引力的情况下，我们直接将广义不确定性原理 （GUP） 调用到宇宙学哈密顿量中，以表示一个由幻影标量场产生的宇宙，该宇宙有可能研究宇宙在非常早期的时期的演化。然后对动态进行定性和定量的系统分析。我们的定性分析表明，GUP 的引入显着改变了本文所考虑的电位的固定点的存在。此外，我们确认了膨胀阶段的存在，并分析了相关宇宙学参数相对于 GUP 扭曲强度的行为。