But there's no evidence whatsoever from the back side of the Big Bang to support that theory or any other.
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I think you missed the point, if the universe is rotating that is the proof of some previous system.
Think spinning Ice skater draws her arms in spins faster, puts her arms out spins slower. This is called the law of conservation of angular momentum. Even if the universe is spinning very slowly in the order of 10^-13 radians per second if wind back the clock 13.7 billion years to the big expansion then it was a lot smaller and spinning a lot faster.
A God wouldn't play with the rules of natural law in order to maintain the rational qualities of this universe, but that doesn't mean they have to be rational if irrationality was God's desire.
As God seems imaginary to me, sure he can do all sorts of impossible things like superman, but really its only a pile of hypothetical conjecture.
I think you meant to say "is there not a maximum size....", though I'm not sure what your point is either way--though maybe a black hole might qualify, but without your requisite super size. Besides, it looks like Einstein's luminal speed limit holds for matter, energy and gravity, but not for whatever space itself is composed of.
Nope, I meant "minimum" size due to high rotation velocity, conservation of angular momentum and speed of light limit, all verifiable physics axioms.
And, an endlessly oscillating universe requires one thing, time, but the quantum ether our universe is suspended in is apparently timeless. Time would only exist within the universe(s), and the many worlds interpretation is thankfully falling out of favor anyway.
Michelson and Morley failed to show the existence of an ether in there classic experiment.
Next define space eg vacuum.
Consider 1 cubic metre of space containing rocks liquids and gases.
We consider this not a vacuum because it is full of stuff.
OK remove said rocks liquids and gases, now we have the commonly agreed version of a vacuum.
However if half a dozen photons are traversing this cubic metre of space is it truly empty?
Now go out 14 billion light years beyond the 13.7 billion light years that light (mainly gamma) from the big expansion has not yet penetrated is this not the true vacuum, space which has no characteristic except arbitrary dimension.
Finally define Universe. Is a Universe the system that evolves from a big expansion or is it the whole kit and caboodle encompassing many possible big expansion events independent of our own (hence quasars)?
Perhaps when all the stars go out and we finally loose those last 4 degrees K, we will all turn into a Bose-Einstein Condensate and instantly do a quantum coalesce and start over again or mingle with other expanding universes thus creating new ones. Now that is speculation.
Cheers