Anyone interested should go to Ned Wrights Cosmology Tutorial and view his recent slide show on Einstein (presntly the first item on his list). Anyone who thinks space is true and blue flat will especially find his observations and the graphs he posts interesting. His comment that a group of Italians who have concluded that dark energy does not exist, indicate their interest in fine wine corresponds with my comment that space is Italian flat. No wonder Columbus left Italy and sought help for his ventures from Spain! Space is hyperspherical and closed- period.
In addition to Neds graph plots which are right on a dark energy universe, Dr Wright points out something else which is highly significant...
that if space is not perfectly flat, any imperfection in its geometry with increase with time, gradually at first and then exponentially, in the case of closed space, culminating in singularity.
That 1.02 Omega is HIGHLY significant and indicates that space in the universe is destined for closure, slowly at first and then- Zonk.
Now for Olbers paradox. Ned points out that in a static cosmology, the sky would be as bright as the surface of a star, and uses this fact to argue against static cosmologies, favoring dynamic 4D systems.
What Ned doesn't say, however is powerful and profound.
In a finite, closed universe which would by definition be quasi-static, the sky would be as bright as the sun at the photonic antipodes.
From any frame, the sky would be observed to vary from jet black to brilliant over cosmological time- and back again. The black sky would gradually become punctuated with stars, becomming brighter (or darker depending on which of the two three-spaces the universe was being observed from) eventually becomming brilliant at the photonic antipode per SRT or jet black and starless at the singular antipode.
Lets go on a "journey" within the quasi-static model! Actually it is only a journey as we observe it.. "we" really remain at the same place for eternity.
I guess the best place to illustrate from would be about 4,000 miles about the Earths singular center at the beginning of time.
At first, everything at 360 degrees is jet black, but slowly over eons the sky fills with stars, without an Earth of course, because the sun has not even begun to exist yet!
Gradually a portion of space in the sky brightens and we find ourselves in the middle of a cloud, which begins to rotate. The center of the cloud brightens and becomes the Sun, but as yet there is still no Earth.
4,000 miles under us a growing asteroid object forms. As it grows, it becomes liquid and more massive, attracting more mass. At our frame, we feel an increasing acceleration due to gravity.
The growing Earth eventually lies only 45 or so miles below us, with an acceleration from our frame of 1G. Its atmosphere is Methane and Nitrogen, later with Carbon Dioxide and water vapor.
Finally as the Earth further changes, and life evolves, we stand and live on its surface, moving about only a tiny fraction of the radius of the universe, "coordinate shift".
In 7D, the sky eventually becomes dark again, all stars, including our own Sun, burning out.
All mass, however, each frame of reference in the universe remains invariant- including ourselves. The whole structure remains intact. It has no edge or center...except any randomly selected invariant frame.
Gradually, the dark sky begins to brighten.
The Sun, the Earth, the Stars and the galaxies reform at their respective frames, but the entropy flow is reversed, seemingly so, as observed before. Actually the time process is unidirectional and irreversible, but like space-closed.
Because of inverse mapping we again observe the universe, growing younger and more youthful rather than older (but losing the quality of our consciousness) , and watch the sky brighten until it is brighter than the surface of the sun, at which time it begins to darken again. Each atom, each planet, each star remains at its invariant frame.
Over eternity, we experience life over and over again through the miracle of photonic observation, and because of coordiante shift, we experience phylogenic development.
Olbers paradox is not a paradox at all. The bright sky is real and true...the sky is just not observed that way at this particular frame of reference, midway in cosmic development.