Considering the entropic force on the holographic Hubble horizon of the universe which carries a Bekenstein–Hawking entropy and temperature leads to the entropic force cosmology, and it assumes that the entropic force is responsible from the increase of entropy and accelerated expansion of the universe as a source of cosmological constant. This assumption naturally solves the cosmological constant problem with the variable nature of the entropic pressure on the Hubble parameter. We investigate the implications of entropic force cosmology by obtaining the density parameters and the distance measures. Then, we generalize the model into higher dimensional universes in order to investigate the early period accelerations and density values of universe contents. After obtaining the density parameters, we find the luminosity distance and modulus equations. By comparing the luminosity distance values of standard $\Lambda$CDM and our model, we infer that the considered model presents a faster acceleration in the early periods of the universe implied from larger luminosity distances of the model for higher redshift values, which is completely supported by the inflationary paradigm. In addition, it is found that the luminosity distance becomes larger in higher dimensions for higher redshifts implying the early acceleration is larger. Moreover, from the distance modulus comparison of the model and the observational Gold Data, we find the considered model and its higher dimensional generalization are in accordance with the data, also the universe starts from higher dimensions with higher dark energy densities to lower compactified dimensions with lower dark energy densities, while the matter density increases.

考虑到宇宙全息哈勃视界上的熵力带有Bekenstein-Hawking熵，温度导致熵力宇宙学，并且假设熵力是宇宙的熵增加和加速膨胀的原因。宇宙常数的来源。这个假设自然地解决了宇宙学常数问题，因为哈勃参数上的熵压具有可变性质。我们通过获取密度参数和距离量度来研究熵力宇宙学的含义。然后，我们将模型推广到高维宇宙中，以研究宇宙内容的早期加速度和密度值。获得密度参数后，我们找到了光度距离和模量方程。通过比较标准的光度距离值$\Lambda$CDM和我们的模型，我们推断，考虑到的模型在宇宙的早期呈现出更快的加速度，这是由于更高的红移值意味着更大的模型光度距离所暗示的，这完全由通货膨胀范式支持。另外，发现对于更高的红移，光度距离在较大的尺寸中变大，这意味着早期加速度较大。此外，通过模型与观测金数据的距离模量比较，我们发现所考虑的模型及其较高维的概括与数据一致，宇宙也从具有较高暗能量密度的较高维开始，到具有较低暗能量密度的较低维压缩。较低的暗能量密度，而物质密度增加。