尺度依赖的Barrow-Tsallis熵的宇宙学后果
Cosmological consequences of scale-dependent Barrow-Tsallis entropy
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中文总结 AI 辅助
该研究基于尺度依赖的Barrow-Tsallis熵构建扩展宇宙学模型，推导修正宇宙学方程，结合多类观测数据检验，发现模型在参数空间内兼容观测，或可缓解哈勃张力。
中文摘要 AI 辅助
我们研究了基于Barrow-Tsallis熵的扩展宇宙学场景，纳入了随能量尺度变化的反常维度，该特性类似于量子引力和有效场论场景中相关耦合所具有的非平凡尺度依赖性。通过将引力-热力学猜想应用于平坦Friedmann-Robertson-Walker宇宙的表观视界，我们推导了相应的修正宇宙学方程；当Barrow-Tsallis熵退化为常规的Bekenstein-Hawking形式时，标准动力学可作为极限情况被恢复。我们将该模型与早期和晚期的组合数据集进行了检验，包括观测哈勃参数测量、Ia型超新星的Pantheon+星表、DESI重子声学振荡的第二次数据发布以及宇宙微波背景约束。利用贝叶斯信息准则，我们最终将本框架与ΛCDM范式的拟合性能进行了比较：尽管后者仍受到一定程度的青睐，但我们的模型在合适的参数空间范围内与当前观测完全兼容，揭示了更丰富的现象学，表明其可能缓解哈勃张力。
英文摘要
We investigate an extended cosmological scenario based on the Barrow-Tsallis entropy, incorporating a varying (i.e., energy-scale-dependent) anomalous dimension. This behavior is reminiscent of quantum gravity and effective field theory settings, where the relevant couplings acquire a nontrivial scale dependence. By applying the gravity-thermodynamic conjecture on the apparent horizon of a flat Friedmann-Robertson-Walker Universe, we derive the corresponding modified cosmological equations. The standard dynamics is recovered as a limiting case when the Barrow-Tsallis entropy reduces to the conventional Bekenstein-Hawking form. The proposed model is tested against a combination of early- and late-time datasets, including observational Hubble parameter measurements, the Pantheon+ catalog of Type~Ia supernovae, the second data release of DESI baryon acoustic oscillations and cosmic microwave background constraints. Using the Bayesian Information Criterion, we finally compare the fitting performance of our framework with that of the $Λ$CDM paradigm. While the latter remains mildly favored, our model is shown to be fully compatible with current observations within suitable regions of the parameter space, unveiling a richer phenomenology that points towards a possible alleviation of the Hubble tension.
