Abstract
In this study, we draw upon the method that Copernicus and others used to develop modern astronomy on the foundation of the geocentric theory, to propose a preliminary three-order self-similar cosmological model building upon the framework of the Big Bang cosmological model. Subsequently, employing axiomatic methods, we provide a systematic description of this model. Our results indicate that the universe possesses a novel level, referred to as the "cosmoscopic level," in addition to the microscopic and macroscopic levels known to humanity. Importantly, the cosmoscopic level exhibits similarities with the macroscopic level in terms of material structure, evolution, motion, and interaction. The proposed model is comprehensive and elegant. It not only can explain observed phenomena such as the redshift of extragalactic galaxies and the dipolar anisotropy in the spatial distribution of spiral galaxy rotation directions, but also can remain consistent with various other astronomical observations. Furthermore, several predictions of the model can be experimentally tested, even under current observational conditions.