Well, this has been pretty well beaten to death already, but I can't resist a short note.
messanjaH, angular momentum is
conserved. That means that, if you add up all the individual angular momenta
1 of the components of a system, the result is always the same. (Note that if something external reaches into the system it's a little more complicated).
So, to see if the Big Bang theory violates conservation of angular momentum, here's what your source should do:
1. Calculate the initial angular momentum of the universe. Zero sounds reasonable to me, but what we need is a mathematical derivation from first principles, not a reasonable guess.
2. Measure the motion of
everything in the entire universe, calculate the angular momentum of each thing, and add them all up.
3. Is the answer to #1 the same as the answer to #2?
Of course, since it seems likely that we can't even
see everything in the universe, your source did not carry out step 2; and I'll bet they didn't carry out step 1, either.
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1That may not be the correct plural