@Fandyllic Okay, how about I alter the scenario a bit, what if the Ring was teleported by the valar into the void, and Eru Ilúvatar didn't know where it was, unless he attempted to used his power to find it.

@Neosaiyan7 I don't think you understand Eru Ilúvatar. Let's leave it at that.

All right, so the premise here is that the One Ring is not destroyed, but Sauron is somehow unable to get it back?

I think that Sauron's next moves would be to slowly gather an army, build up his own strength, and prepare to take over the world again. He wouldn't be as powerful as he would be if he had the Ring, but he's still plenty powerful.

In other words, I don't think his agenda or plan would change; the lack of the Ring would just make it harder for him to accomplish his plan.

The whole story of LotR is based around Sauron not having the One Ring, but trying to get it. So, having it more permanently removed from his grasp only hurts him if it is destroyed or the inaccessibility weakens him in the same way as if it were destroyed. The original post is vague about whether Sauron is unable to access the power he has invested in the One Ring. Being outside of Eä probably doesn't mean the same as if the One Ring was destroyed, but it definitely means it is outside the grasp of forces who want to destroy it. If we assume the One Ring is inaccessible, but not destroyed, it might actually help Sauron, because Frodo and Sam can't destroy it.

You can’t put it out of Eru’s reach. He is omnipotent in every sense of the word. If he wants to find it, he would find it. That said, if the ring somehow ends up in the void ( don’t see how but theoretically) Eru would likely just throw it back. Sauron probably wouldn’t be able to make another ring anyway, presumably because he left so much of his essence in the first one. He wouldn’t care though, remember that means no else can find it. He would just continue on with his conquests until no one was left.

^ That was all good until "Eru would likely just throw it back." Why the heck would Eru do that?

^Sauron would be practically immortal seeing as no could get to the ring. I imagine Eru would have a problem with that.

Sauron was already immortal. Still is, as a matter of fact. When the Ring was destroyed, Sauron didn't actually die, he was just rendered completely powerless.

^you know what I meant.

Well, now I do. It just took me a few minutes to understand. XP I don't presume to know what Eru would or wouldn't do, but I guess it's a fair theory.