The Hubble parameter experimental puzzle in the context of Modfied Gravity models

在过去的一年里，我们一直在研究修正的引力模型如何面对宇宙学中存在的紧张局势。特别是，宇宙学正面临两种紧张局势：1)确定H0，即今天宇宙膨胀的速度；2)我们宇宙中结构的形成速度。广义相对论关于冷暗物质流体和宇宙常数存在的预测似乎与最近对这两种可观测物的观测不一致。特别是第一个张力约为5西格玛，此时，人们似乎已经检查了实验测定H0时可能出现的所有可能的系统。在模型中，我和我的合作者，主要是Mukohyama教授（YITP）和Tsujikawa教授（早稻田大学），我们一直在推动修改重力模型可以解释这两种张力的想法。为了探索我们最近在文献中介绍的一些模型的优缺点，我们使用了强大的计算和理论方法。我确实希望，在不久的将来，实验数据将得到进一步检验，以显示这些紧张局势的真实存在。如果是这样，广义相对论将需要一些修改。显然，我想进一步探索方法和途径来证伪（或证明）我一直在研究的理论。希望未来看起来非常光明。自2022年4月至今，在著名同行评议期刊（JCAP、PRD、PRL）发表论文9篇。

During the last year, we have been investigating how modified gravity models could face the tensions present in cosmology.In particular, cosmology is facing two tensions: 1) the determination of H0, thetoday's rate of expansion of the universe; 2) the rate of formation of structures in our universe. The predictions of general relativity in the presence of a cold dark matter fluid and of a cosmological constant seem to be not consistent with the most recent observations of these two observables. In particular, the first tension is about 5 sigmas, and at the moment, people seem to have checked all the possible systematics which can occur in the experimental determination of H0.In the models, I have proposed with my collaborators, mostly Prof. Mukohyama (YITP) and Prof. Tsujikawa (Waseda U.), we have been pushing forward the idea that modified gravity models could account for both these tensions. We have used both powerful calculations and theoretical methods in order to explore the strengths and weaknesses of some of the models we have recently introduced in the literature.I do hope that in the near future experimental data will be further tested to show the real presence of these tensions. If so, general relativity will require some modifications. Evidently, I want to further explore methods and ways to falsify (or prove) the theories I have been working on. The future might look very bright, hopefully. Since April 2022, I have published 9 papers in famous peer-review journals (JCAP, PRD, and PRL).