This is not a good approach. You would need to PROVE that God’s alleged existence is LOGICALLY necessary for our world to exist. And you cannot even PROVE that God actually exists.
A: There is existence
B: Existence is not, in and of itself, necessary.
C: Something cannot create itself.
From A and B:
D: If Existence is not necessary, and yet
is; and if it cannot be its own creator (per C), there must be a
necessary cause external to existence to explain it.
We know A because we are experiencing it.
We know B because we know that existence had a beginning, and so there was a point at which it did not exist.
We know C because all of the sciences tell us this is true, as do our own observations and experiences.
As such, D flows LOGICALLY from A, B, and C.
We could also address the fact that nothing is capable of creating itself. Given that basic fact, we can surmise that existence could not have created itself, and therefore requires an external creator. In order to avoid the irrational “necessity” of an infinite regression of creators, creating each lower creator, it is necessary that there be a First and Primary creator which exists out of necessity, or, whose nature it is to exist.
Both of these are solid proofs which address your requirement for a logical proof for the necessity of God to facilitate our existence.
I’ve heard several variations on three possible loopholes used to try to get around this.
1: The universe is the result of another universe which either existed before, or exists besides, our current universe.
Firstly, this is as large a leap of faith as the belief in God, given that there isn’t even a philosophical proof for this position, let alone a scientific proof. Secondly, this does not circumvent the need for an external creating force, it only pushes it up a level. You may claim that perhaps that other universe is itself necessary, but again, that is a literally-baseless assumption, and not a good foundation for making any argument.
2: The universe is in a loop, and creates itself after each successive iteration.
This position holds the same issues as the one above, with the addition of a temporal paradox. In order for any sequence to occur, it had to have a starting point. A temporal loop cannot do away with that paradox because no matter what, something had to set the loop in motion (i.e., and initial instance)
3: Something
can come from nothing, based on observations in the big particle collider, who’s name I have completely forgotten…
Those particles did not come from nothing, they came form a low level energy field. Energy is
something, and therefore necessitates a creator for reasons given above.
I don’t really have time to get drawn back into this debate, so I don’t know that I’ll be able to respond to you if you chose to respond to me. I just wanted to point out that there are two very viable and rational proofs for the necessity of an external creator.