The evidences for the Big Bang are a bit blotchy at best – that is to say; they are built upon assumptions that are built upon assumptions that are built upon assumptions (etc.) that are built upon laws that seem to correlate with the observed universe. If any one of those assumptions were to be incorrect (or even slightly flawed), the entire solution of the Big Bang could be irreducibly inconsistent with reality.
I am now coining this problem for the proof of the Big Bang as the Fibonacci disturbance. That is, if you have one number wrong in a Fibonacci sequence every subsequent number will be wrong. Additionally, as my Fibonacci disturbance will show, the further you get away from the origin of your calculation the further off your solution will be.
Considering the ‘Big Bang’ is billions of years in the past; and the sequence of events leading to our belief in the big bang is a bit anecdotal (e.g. we say that our theoretical evidences seem to indicate that the universe is made up of a certain composition, and then state that the Big Bang also seems to indicate that the universe should be made up of a certain similar composition, and we then use these two theoretical evidences to support the existence of each other).
Now, philosophically, theologically, and theoretically I don’t have a problem with the concept of the Big Bang. I think the universe must have been created, as it is not possible for it to exist infinitely in both time and space; but to-date, the theoretical evidences themselves do not push me to feel compelled to believe it. And yet, I would agree, that from a scientific perspective, to date, the Big Bang seems to be the reigning solution that seems to account (at least from a perceptual level) what the universe is like, comparatively to how we think it formed.
Some things the Big Bang really can’t account for on its own, is the apparent intentionality in creation, the fact that the universe seems so finely tuned for intelligent life to be created. The Big Bang can’t answer why the universe is so uniquely uniform, and it can’t answer the question of origins or purpose.
In the end, it’s at least a useful target to keep aiming at, as we shoot for the stars (so to speak) in trying to uncover the deeper meanings within creation and existence!