In this study, we investigate the dynamics of the Universe during the observed late-time acceleration phase within the framework of the Weyl-type $f(Q,T)$ theory. Specifically, we consider a well-motivated model with the functional form $f(Q,T)=\alpha Q+\frac{\beta }{6{\kappa }^2}T$, where $Q$ represents the scalar of non-metricity and $T$ denotes the trace of the energy–momentum tensor. In this context, the non-metricity $Q_{\mu \alpha \beta }$ of the space-time is established by the vector field $w_{\mu }$. The parameters $\alpha$ and $\beta$ govern the gravitational field and its interaction with the matter content of the Universe. By considering the case of dust matter, we obtain exact solutions for the field equations and observe that the Hubble parameter $H(z)$ follows a power-law behavior with respect to redshift $z$. To constrain the model parameters, we analyze various datasets including the $Hubble$, $Pantheon$ datasets, and their combination. Our results indicate that the Weyl-type $f(Q,T)$ theory offers a viable alternative to explain the observed late-time acceleration of the Universe avoiding the use of dark energy.

在这项研究中，我们在外尔型框架内研究了观测到的后期加速阶段的宇宙动力学$F（问,\mathrm{时间}）$理论。具体来说，我们考虑一个具有良好动机的模型，其函数形式为$F（问,\mathrm{时间}）=\alpha 问+\frac{\beta }{6{\kappa }^2}\mathrm{时间}$， 在哪里$问$表示非度量标量，$\mathrm{时间}$表示能量动量张量的迹。在此背景下，非度量${问}_{\mu \alpha \beta }$时空的分布是由向量场建立的$w_{\mu }$。参数$\alpha$和$\beta$控制引力场及其与宇宙物质含量的相互作用。通过考虑尘埃物质的情况，我们获得了场方程的精确解，并观察到哈勃参数$H（z）$遵循红移的幂律行为$z$。为了约束模型参数，我们分析了各种数据集，包括$H你乙乙我e$,$磷AntHe哦n$数据集及其组合。我们的结果表明 Weyl 型$F（问,\mathrm{时间}）$理论提供了一种可行的替代方案来解释观察到的宇宙后期加速，避免使用暗能量。