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When we talk about R in our universe aren't we really talking about the scale
factor or if you like radius of the observable Universe.
Would it not also be true, that assuming the cosmological constant is
really some positive value, it would mean that each and every unbound
cosmological structure would be accelerating away from each other at the same
This acceleration would continue to increase because of the
increase of the scale factor and the decrease of attractive component of the
gravitational field as the average distance between the unbound structures
This line of thought would eliminate the need for any arbitrary point of
origin which really has no meaning in the sense that it can be located at
some particular place in space.