Please be aware that there are 2 causation explanations here.
1. There is the initial condition like law of casaulity.
2. Personal agent caused.
My argument is a deductive argument. Not a scientific one. You are asking if science has found God with the property of infinity. Infinity doesn't exist in reality. So the very first caused that brought the universe into existence is not a scientific one. Why? Because there is no scientific explanation for it. So the explanation has to be #2 - a Personal agent caused. Since there is nothing, (no time, no space, matter, etc..) casually prior to the big bang, I cannot accounted for it's explanation in terms of a scientific one by the laws of nature. Since no laws can exist when nature does not exist, no laws apply before the big bang. Laws of nature such as (first law of thermodynamics) only apply once space and time already begin to exist. It does not govern prior. What you are doing using a scientific approach to God. I am using deductive arguments where the conclusion necessarily follows given that the premises are true.