论文标题
部分可观测时空混沌系统的无模型预测
Holographic Dark Energy from Acceleration of Particle Horizon
论文作者
论文摘要
储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。
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.
