Holographic Dark Energy Characterized by the Total Comoving Horizon and Insights to Cosmological Constant and Coincidence Problem

The observed acceleration of the present universe is shown to be well explained by the holographic dark energy characterized by the total comoving horizon of the universe ($\eta$HDE). It is of interest to notice that the very large primordial part of the comoving horizon generated by the inflation of early universe makes the $\eta$HDE behave like a cosmological constant. As a consequence, both the fine-tuning problem and the coincidence problem can reasonably be understood with the inflationary universe and holographical principle. We present a systematic analysis and obtain a consistent cosmological constraint on the $\eta$HDE model based on the recent cosmological observations. It is found that the $\eta$HDE model gives the best-fit result ${\mathrm{\Omega }}_{m0}=0.270$ (${\mathrm{\Omega }}_{de0}=0.730$) and the minimal ${\chi }_{min}^2=542.915$ which is compatible with $\chi^2_{\Lambda {\rm CDM}}=542.919$forthe$\Lambda$CDM model.