论文标题
从修改后的Friedmann方程中对广义不确定性原理的宇宙学约束
Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
论文作者
论文摘要
广义不确定性原理（GUP）已经出现在量子重力理论的许多尝试中，并预测了自然界中最小长度的存在。在这项工作中，我们考虑了由GUP修改的Friedmann方程引起的两个宇宙学模型（在其线性和二次配方中），并将它们与观察数据进行比较。我们的目的是在GUP参数中得出约束，并讨论此类模型的生存能力和物理含义。我们找到了二次配方中的参数，约束$α^{2} _ {q} <10^{59} $（比天体物理环境中大多数获得的大多数），而线性公式并未与当前的宇宙学数据兼容。我们的分析强调了高精度宇宙学探针在量子重力现象学领域的强大作用。
The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this work, we consider two cosmological models arising from Friedmann equations modified by the GUP (in its linear and quadratic formulations) and compare them with observational data. Our aim is to derive constraints on the GUP parameter and discuss the viability and physical implications of such models. We find for the parameter in the quadratic formulation the constraint $α^{2}_{Q}<10^{59}$ (tighter than most of those obtained in an astrophysical context) while the linear formulation does not appear compatible with present cosmological data. Our analysis highlights the powerful role of high-precision cosmological probes in the realm of quantum gravity phenomenology.
