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First that the universe began to exist means that time as defined by physics began to exist as well. Now I am claiming this because its big bang cosmology. There are some theories that say time existed ”before’ the big bang and others that say quantum loop gravity etc allows an out for a universe that begins to exist. However both I and Craig rely on Big Bang cosmology that tells us time began to exist about 14B years ago shortly after T-0 (time zero or the when the big bang ”banged’ so to speak).
Time could not "begin to exist" "shortly after T-0" - it must exist AT T-0. Also, since we have no information about anything prior to the Big Bang any version of the KCA which assumes that will also fail.
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The cause/God would be more accurately said to exist outside time. It is atemporal/eternal. So it follows that the Cause/God had no cause for its beginning because it has existed eternally ie it did not ”begin to exist’ as per the first premise. I hope this helped if I did not understand your question etc I would be happy to attempt to clarify etc.
No, it does not help. All it does is present the way Craig attempts to escape the infinite regress. However, even this does not work. Since time itself must always exist (by definition), seen from "outside" it, too is "eternal" (there are arguments involving other time dimensions but the same argument may be applied to them, necessitating an infinite regress).
I will attempt to explain again. When we are talking about a beginning we usually mean a transition from a state where the object in question does not exist to one where it does - and it is that transition that requires a cause (ignoring the question of causation at the Quantum level).
However, if the object exists at the very first instant of time there is no such transition. And if there is no such transition we need nothing to cause the transition. So, given that we are speaking of something different from our usual ideas of "beginnings" should we still call it a "beginning" ? And if we do, surely we must call into question the idea that such a "beginning" requires a cause - since we are missing the very element that a cause is invoked to explain.