Hmmm. Talk about pulling stuff out of your butt. You've set up a false premise. Indeed, you have set up the ultimate false premise. The answer is impossible because the premise is impossible.
However, if I grant your impossible premise, I can give you an impossible answer. If God chose at some point in time to not exist, then obviously that event would have occurred before the creation of the creation. Thus there never would have been any creation to cease to exist. There would be no "rest of eternity" because there would be no eternity at all. Nothing exists without God and God exists. Period. Any premise that would exclude the existence of God would be a false premise. Existence is impossible without God. "I AM" kinda says it all.
BTW what does this have to do with anything?
Which is why I stated from the outset that it is a false premise and also why I first asked an entirely different question.
The purpose of the second question is to make sure you understand what I mean about "continual proactive sustaining power of the Will of God".
An even different question that communicates the same idea is:
Does the created "not God" have eternal existence or does the existence of the "not God" entirely and completely depend upon God's sustaining Will?
Even though it is a false premise, I hope you now can see what I am getting at when I ask what would happen to the created "not God" if God decided -by his own "Free-Will"- to cease to exist.
"If God chose at some point in time to not exist, then obviously that event would have occurred before the creation of the creation."
Since the word "before" indicates chronological progression, it is impossible to have a "time" that is "before" the creation of creation because "time" itself is part of the creation. This is not an answer. You are avoiding the obvious.
"Nothing exists without God and God exists. Period."
Now you are getting somewhere.
Since nothing exists without God, then if my premise were possible, what would happen to the created "not God" if God decided by his own Free-Will to cease to exist?
If you still convulse over that question, I'll ask a slightly different question:
Is "nothing exists without God" the same thing as saying "nothing exists without God's sustaining Will"?
And if you still are unclear with what I am after: "Is the Deistic belief that God can "forget" about his creation even possible?" What would happen if God did not "Will" any more effort into sustaining the created "not God"?
"BTW what does this have to do with anything?"
Humor me.
Jean