Let me put it like this:
You've been assembling a jigsaw puzzle. All the pieces up 'till now fit together, and the image they compose makes sense.
However, there's a gap there. You're missing one piece. You can see from the gap what the piece must be shaped like, and you have a pretty good idea what the illustration on top of it would have to look like.
You can't find it though.
What, then, is the most reasonable course of action?
A) Searching for it more closely, going through your house with a vacuum cleaner with a stocking over the nozzle?
Or B) Declaring that the piece doesn't exist, and that you've been assembling the puzzle in the wrong way from the beginning, forcing yourself to tear the puzzle apart and start over?
Certainly, at some point, it will be correct to take the second route, option B, but we're not at that point yet.
We still haven't examined our "house" as closely as we could. The missing puzzle piece might just be stuck under the sofa.
So we build a giant particle accelerator and try to poke it out from under the sofa.