The black hole gravitational red shift formula coincidence

Part of the whole formula predicts that for any known mass, we can find out the radius it would have to be to cause electromagnetic radiation to be shifted to infinity by a gravitational red shift.

r = 2GM/c2

For the mass of the sun, it would be a black hole if shrunk to a radius of around 3km. Using the mass of the universe 1053kg results in a universe where all em. radiation would be red shifted to infinity at a distance of around 1.48 x 1026 m due to the evenly distributed contents of the whole universe. That is nothing to do with any gravitational red shift of individual galaxies. This value is close to that which we observe. In a big bang universe, this would only apply to our present epoch. So, it is a coincidence or it has some other significance?

 

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