Large-Scale Distribution of Galaxies

By contrast, Newton's cosmology was homogeneous, hence manifestly non-fractal.
In the 1930s, the assumption of spatial homogeniety was joined with spatial isotropy to form the Cosmological Principle.
The Cosmological Principle asserts that on very large scales all parts of the universe are more-or-less the same, and every direction looks the same.
Perhaps in part this is a reaction to centuries of believing the earth is the center of the universe.
While this "we're nothing special" certainly conflicted with Newton's theology, it seems appropriate to modern world views.
An additional motivation in relativistic cosmology is that Einstein's equations are much easier to solve under the assumptions of homogenietry and isotropy.
Yet stars are organized into galaxies, and galaxies into cluseters of galaxies, so any homogeniety must occur at a very large scale.
Einstein's cosmological model takes as hypothesis that the universe is homogeneous and isotropic in space.
Homogeneity is generally regarded as essential for Hubble's law, that the velocity of recession of galaxies is proportional to their distance.

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