含GUP诱导修正的φ²超势暴胀模型的观测可行性
Observational Viability of $ϕ^{2}$-Superpotential Inflation with GUP-Induced Corrections
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- University of Mazandaran（马赞德兰大学）
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中文总结 AI 辅助
研究含GUP诱导修正的φ²超势暴胀模型，推导其GUP修正的暴胀可观测量，经多组天文数据集检验，该模型预测可符合当前观测的置信区间，表明GUP修正可使二次超势暴胀模型适配观测结果。
中文摘要 AI 辅助
我们在受GUP启发的量子引力框架中研究了φ²超势暴胀模型。利用视界热力学，我们回顾了结合温度-表面引力关系与修正的熵-面积定律得到的GUP修正弗里德曼方程。通过φ=φ(a)的超势W(φ)重构动力学，我们得到了相应的慢滚参数，并推导出标量谱指数和张量-标量比的GUP修正表达式，这导致标准暴胀一致性关系发生形变。采用二次假设W(φ)=½m²φ²，我们计算了可观测量(ns,r)，并将其与Planck 2018 TT、TE、EE + lowE + lensing + BK18 + BAO、DESI + CMB + DESY5以及Planck2018 + ACT + lensing + BK18 + BAO（来自DESI）数据集进行比较。分析表明，对于适度负的有效GUP参数β和亚单位的唯象超势参数C，该模型的预测可落入当前观测的68%和95%置信区间内。这些结果表明，受GUP启发的修正可将二次超势的(ns,r)预测推向观测青睐的区域。
英文摘要
We study a $ϕ^{2}$-superpotential inflationary model within a GUP-inspired quantum-gravity framework. Using horizon thermodynamics, we review the GUP-corrected Friedmann equations obtained by combining the temperature--surface-gravity relation with a modified entropy--area law. Reformulating the dynamics via a superpotential $W(ϕ)$ with $ϕ=ϕ(a)$, we obtain the corresponding slow-roll parameters and derive GUP-modified expressions for the scalar spectral index and the tensor-to-scalar ratio, leading to a deformation of the standard inflationary consistency relation. Adopting the quadratic ansatz $W(ϕ)=\tfrac{1}{2}m^{2}ϕ^{2}$, we evaluate the observables $(n_{s},r)$ and compare them with the Planck 2018 TT, TE, EE + lowE + lensing + BK18 + BAO, DESI + CMB + DESY5, and Planck2018 + ACT + lensing + BK18 + BAO (from DESI) datasets. The analysis shows that, for moderately negative values of the effective GUP parameter $β$ and sub-unity values of the phenomenological superpotential parameter $C$, the model predictions can fall within the $68\%$ and $95\%$ confidence regions of current observations. These results indicate that GUP-inspired corrections can shift the $(n_{s},r)$ predictions of a quadratic superpotential toward the observationally favored region.
