标题： 关于Granda-Oliveros全息暗能量的注记 显示英文标题

标题： Note on Granda-Oliveros Holographic Dark Energy

摘要： 本文重新审视了Granda-Oliveros全息暗能量（GOHDE）模型，探讨了参数空间的特性，并表明其解释晚期加速膨胀的能力仅是由于构造中出现的积分常数。 我们表明，GOHDE表现得像主导能量组分，并在后期阶段自然地表现出暗能量的行为。 在物质主导时期，它表现得像无压物质，并在非常早期阶段表现出辐射样行为。 调整自由参数可以抑制或增强这些特性。 根据参数的不同，GOHDE可以类似共识、幻影或类奎因塞斯暗能量，具有奇异的状态方程。 从局部观测的角度来看，我们表明GOHDE模型在观测上与$w$CDM不可区分，并包含$\Lambda$CDM作为特例。 我们的分析表明，虽然偏离$\Lambda$CDM可能解释晚期加速膨胀，但它无法对整个宇宙历史进行一致的描述。 此外，我们利用各种数据集，包括OHD、Pantheon、CMB位移参数、BAO和QSO来约束GOHDE模型的自由参数。 我们的分析表明，假设GO截断时的最佳拟合与$\Lambda$CDM模型一致。 此外，我们使用AIC、BIC和$\chi^2$等统计量来测试各种数据组合下模型的良好性，并估计贝叶斯因子以对比模型。 我们的研究表明，标准GOHDE模型与$\Lambda$CDM模型同样可能，最终更倾向于后者，以及$\beta=0.686^{+0.048}_{-0.044}$和$w{z_0}=-0.988^{+0.042}_{-0.044}$。 鉴于当前观测结果，我们得出结论，在平坦宇宙中，$\Lambda$CDM情况在统计上是最好的，并且可能是从GOHDE构造中唯一一致的解决方案。 显示英文摘要

摘要： This article revisits Granda-Oliveros holographic dark energy (GOHDE) model, explores the features of the parameter space and shows that its ability to explain the late-time acceleration is only due to the integration constant that appears by construction. We show that the GOHDE behaves like the dominant energy component and naturally behaves like dark energy in the late phase. In the matter-dominated period, it acts like pressureless matter and exhibits radiation-like behaviour in the very early stages. Adjusting the free parameters could subdue or enhance these characteristics. Depending on the parameters, GOHDE can act similarly to concordance, phantom or quintessence-like dark energies with singular equation of states. From the point of local observations, we show that the GOHDE model is observationally indistinguishable from $w$CDM and encompasses $\Lambda$CDM as a specific case. Our analysis reveals that while a departure from $\Lambda$CDM could account for late-time acceleration, it falls short of a consistent description of the entire cosmic history. Furthermore, we utilize various datasets, including OHD, Pantheon, CMB Shift parameter, BAO, and QSO, to constrain the free parameters of the GOHDE model. Our analysis indicates that the best fit, assuming the GO cut-off, aligns with the $\Lambda$CDM model. Additionally, we use statistical quantifiers such as AIC, BIC, and $\chi^2$ to test the model's goodness with various data combinations and estimate the Bayes factor to contrast the models. Our study suggests that the standard GOHDE model is equally likely as the $\Lambda$CDM model, ultimately favouring the latter, with $\beta=0.686^{+0.048}_{-0.044}$ and $w{z_0}=-0.988^{+0.042}_{-0.044}$. Given the current observations, we conclude that, for a flat universe, the $\Lambda$CDM case is statistically the best and probably the only consistent solution from the GOHDE construction.