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Sure:


The isotropic distribution of observed red shift in the spectra of distant galaxies, which implies a uniform expansion of space or Hubble flow in all directions, and the cosmic microwave background radiation, the relic radiation released by the expansion and cooling of the early universe, which is constant in all directions to within 1 part in 100,000, are two observable phenomenona which lend credence to the so-called Cosmological Principle


Of course, the idea of an infinite, homogeneous universe has fallen out of favor.  This was the basic conception of cosmology from around Copernicus through to the late 19th century.  Despite the fact that most lean towards a finite universe now, the question is still unanswered.  Teaching and Learning STEM As you can read in the 3rd section of this paper, where it says "Right now the evidence seems to favor an infinite universe, but it is not yet conclusive."


To recap, one of the assumptions of the standard big bang model is that the universe is more or less homogeneous—the same everywhere. As far as we can see, which is billions of light years in every direction, this assumption appears to be correct. Under this assumption general relativity says that whether the universe is infinite or finite depends on its density. Measurements of that density reveal that it is close to the critical value. Right now the data seem to point more towards an open (infinite) universe.  Even should the density be revealed to be exactly the critical value, it would still be infinite, only it would be termed flat rather than open. (Finite universes are termed closed)


As you can see, and as I said previously, we don't know if the universe is infinite or not... it just seems that way as far as we can tell at the moment.  As for your question about every point in an infinite space being the center, this should be obvious.  The center of a space is defined as a place that is equidistant from all edges.  If the distance to every edge is infinite regardless of where you are... all points are thus technically the center.


Be well friend.


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