The cosmic web structure is studied with the concepts and methods of fractal geometry, employing the adhesion model of cosmological dynamics as a basic reference. The structures of matter clusters and cosmic voids in cosmological N-body simulations or the Sloan Digital Sky Survey are elucidated by means of multifractal geometry. A nonlacunar multifractal geometry can encompass three fundamental descriptions of the cosmic structure, namely, the web structure, hierarchical clustering, and halo distributions. Furthermore, it explains our present knowledge of cosmic voids. In this way, a unified theory of the large-scale structure of the universe seems to emerge. The multifractal spectrum that we obtain significantly differs from the one of the adhesion model and conforms better to the laws of gravity. The formation of the cosmic web is best modeled as a type of turbulent dynamics, generalizing the known methods of Burgers turbulence.

中文翻译：

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宇宙网的分形几何及其形成

利用分形几何学的概念和方法，以宇宙动力学的粘着模型为基础，研究宇宙腹板结构。借助多重分形几何，阐明了宇宙N体模拟或Sloan数字天空测量中的物质簇和宇宙空隙的结构。非凹面多重分形几何结构可以包含对宇宙结构的三个基本描述，即网状结构，层次聚类和光晕分布。此外，它解释了我们目前对宇宙空隙的认识。这样，似乎出现了关于宇宙大规模结构的统一理论。我们获得的多重分形谱显着不同于一种粘附模型，并且更符合重力定律。