Yes, the original universe, if it was a singularity, was symmetrical with zero width. When it expanded it entered a random distribution phase that we can see in the cosmic background. There was no plan or design or algorithmic pattern to it, just randomness. Following that, as it expanded and cooled, the four forces of the apocalypse began segregating and arranging things so we get the cosmic spider web that is the universal galactic distribution. It is still random because the forces acting on the early random seed retain the randomness mostly. Today we look at the distribution of galaxies and stars and there is no order because none was introduced since the disorderly BB. There has surely been change in the universe just as randomly distributed water vapor under one set of constraints forms itself into randomly shaped clouds under a different sat of constraints. There is nothing working in the background here to fool us into thinking the patterns are random when they are not.
It is a little like a logic problem with many steps. If the axioms are not true, no amount of proper, logically perfect manipulation will come to a true conclusion. So, mathematically, starting with random data symmetrical operations continue to yield random results.
"Those who most loudly proclaim their honesty are least likely to possess it."
"Atheism: rejecting all absurdity." S.H.
"Reality, the God alternative"
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