Investigating Cosmic Inflation and Dark Energy in blended models of Particle Theory and Modified Gravity

我们的目标是研究宇宙暴胀和暗能量的模型构建，可能在一个单一的理论框架中，采用超越标准模型的现实粒子理论和修正的引力理论，如F(R)引力。我们打算对暴胀观测（标量光谱指数、张量与标量比）以及超越CDM的暗能量特征（如状态参数方程及其运行）做出具体预测，这些将在不久的将来由EUCLID和Nancy Grace Roman卫星进行探测。对比观察将提供对理论背景的见解。重点将放在宇宙学开放问题的解决方案上，例如哈勃和增长张力，以及引力波的观测特征，例如来自膨胀（或激发）或来自原始黑洞（可能是暗物质）的放大原始引力波，这些将在不久的将来由LISA的LIGO/Virgo直接探测，或由即将到来的CMB观测间接探测，例如BICEP， SPIDER, Simons。

We aim to study model-building cosmic inflation and dark energy, possibly in a single theoretical framework, employing realistic particle theories beyond the standard model and also modified gravity theories, such as F(R) gravity. We intend to produce concrete predictions regarding the inflationary observables (scalar spectral index, tensor to scalar ratio) as well as characteristics of dark energy beyond CDM, such as the equation of state parameter and its running, to be probed in the near future, e.g. by the EUCLID and Nancy Grace Roman satellites. Contrast with observations will provide insights on the theoretical background. Emphasis will be given on the resolutions of cosmological open questions, such as the Hubble and growth tensions, and on observational signatures of gravitational waves, such as amplified primordial gravitational waves from inflation (or kination) or from primordial black holes (which could be the dark matter), to be probed in the near future directly by LIGO/Virgo of LISA or indirectly by forthcoming CMB observations, e.g. BICEP, SPIDER, Simons.