论文标题
从快速无线电爆发和哈勃参数测量中，宇宙模型独立于哈勃常数的测定
Cosmological-model-independent determination of Hubble constant from fast radio bursts and Hubble parameter measurements
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。
We establish a cosmological-model-independent method to determine the Hubble constant $H_0$ from the localized fast radio bursts (FRBs) and the Hubble parameter measurements from cosmic chronometers and obtain a first such determination $H_0=71\pm 3~\mathrm{km/s/Mpc}$, with an uncertainty of 4\%, from the eighteen localized FRBs and nineteen Hubble parameter measurements in the redshift range $0<z\leq0.66$. This value, which is independent of the cosmological model, is consistent with the results from the nearby type Ia supernovae (SN Ia) data calibrated by Cepheids and the Planck cosmic microwave background radiation observations at the $1σ$ and 2$σ$ confidence level, respectively. Simulations show that the uncertainty of $H_0$ can be decreased to the level of that from the nearby SN Ia when mock data from 500 localized FRBs with 50 Hubble parameter measurements in the redshift range of $0<z\leq1$ are used. Since localized FRBs are expected to be detected in large quantities, our method will be able to give a reliable and more precise determination of $H_0$ in the very near future, which will help us to figure out the possible origin of the Hubble constant disagreement.
