Holographic Dark Energy from Acceleration of Particle Horizon

Following the holographic principle, which suggests that the energy density of dark energy may be proportional inversely to the area of the event horizon of the Universe, we have proposed a new energy density of dark energy through the acceleration of particle horizon scaled by the length of this parameter. This model depends only on one free parameter beta=0-1.99. For beta's near zero, the deviation of the model compared with the Lambda CDM model is tangible while for values beta=1.99, the suggested model has no conflict with Lambda CDM theory. Regardless of the value of beta, the model presents dark energy that behaves such as matter with positive pressure in high redshifts =0.33, while for present and near-future Universe treats like the cosmological constant model and phantom field. Comparing the model with Ricci dark energy illustrates our model alleviates Ricci dark energy errors in calculating the age of old supernovae and the evolution of different cosmic components in high redshifts. Moreover, we have calculated matter structure formation parameters such as CMB temperature and matter power spectrum of the model to consider the effects of matter-like dark energy during the matter-dominated era.