AI 中文总结
本文构建带对数修正的广义Ricci-Gauss-Bonnet全息暗能量模型，建立其与f(Q,T)引力有效暗能量的对应关系，结合32个宇宙计时器测量值约束背景，验证了重构模型的热力学一致性。
AI 中文摘要
本文研究了f(Q,T)修正引力框架的宇宙学与热力学行为，该框架的引力拉格朗日量写为f(Q,T)=f(Q)+λT，其中Q代表非度量标量，T为能量动量张量的迹。针对f(Q)的唯象多项式形式，推导了修正的弗里德曼方程，将其表述为有效暗能量部分，并考察了对应的状态方程与声速平方。利用32个宇宙计时器测量值对幂律背景进行约束，所得背景用于研究红移范围内有效暗能量的动力学及其经典稳定性。本研究还基于Nojiri-Odintsov方案构建了带有对数熵修正的广义Ricci-Gauss-Bonnet全息暗能量模型，建立了其能量密度与f(Q,T)框架有效暗能量密度的对应关系，通过添加迹项贡献λT得到完整的f(Q,T)函数。最后，基于Phys. Rev. D 105, 044042 (2022)提出的Nojiri-Odintsov熵与吉布斯关系，在表观视界处研究了重构模型的热力学行为，由紧致背景描述得到的熵演化与重构有效流体公式的结果一致，仅存在微小数值残差。这些结果为研究广义全息暗能量、重构f(Q,T)引力与宇宙热力学之间的联系提供了一致框架。
英文摘要
The current paper reports an investigation on the cosmological and thermodynamic behaviour of an $f(Q,T)$ modified-gravity framework in which the gravitational Lagrangian is written as $f(Q,T)=f(Q)+λT$, with $Q$ denoting the non-metricity scalar and $T$ the trace of the energy-momentum tensor. The modified Friedmann equations are formulated in terms of an effective Dark Energy sector, and the corresponding equation of state and squared speed of sound are examined for a phenomenological polynomial form of $f(Q)$. A power-law background is constrained using 32 Cosmic Chronometer measurements. The resulting background is then used to study the effective Dark Energy dynamics and its classical stability in the redshift range considered. In this study, we further construct a generalized Ricci-Gauss-Bonnet holographic Dark Energy model with logarithmic entropy corrections based on the Nojiri-Odintsov prescription and establish a correspondence between its energy density and the effective Dark Energy density of the $f(Q,T)$ framework. The full function $f(Q,T)$ is then given by adding the trace contribution $λT$. Finally, the thermodynamic behaviour of the reconstructed model is studied at the apparent horizon with the Nojiri-Odintsov entropy motivated by \textit{Phys. Rev. D} \textbf{105}, 044042 (2022) and the Gibbs relation. The entropy evolution obtained from the compact background description is also found to be consistent with that obtained from the reconstructed effective-fluid formulation, with only small numerical residuals. These results provide a consistent framework for examining the connection between generalized holographic dark energy, reconstructed $f(Q,T)$ gravity, and cosmic thermodynamics.
Comments29 pages, 5 figures
