宇宙中的物质在大尺度上是均匀分布的，还是保持着分形分布的特点，成为 近年来观测宇宙学中争论的一个热点。Pietronero等人认为直到目前观测到的 最大尺度(≈1000 h-1Mpc)星系的分布仍保持D≈2的分形结构，而大多数坚持 标准模型的宇宙学家都认为宇宙在大尺度上是均匀分布的。宇宙物质在大尺度上 是否均匀分布，将由下一代的红移巡天的结果来判断。
Whether the distribution of matter in the Universe is homogeneous or fractal on large scale is vastly debated in observational cosmology recently. Pietronero and his co-workers have strongly advocated that the fractal behaviour in galaxy distribution extends to the largest scale observed (≈1000 h-1Mpc) with the fractal dimension D≈2. Most cosmologists who hold standard model, however, insist that the universe be homogeneous on large scale. The answer of whether the Universe is homogeneous or not on large scale should wait for the new results of next generation galaxy redshift surveys.