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>Do they really create anti-matter particles
Yes, but you don't need the LHC to produce anti-matter. Basically any particle collider will produce it in some amounts. It also occurs naturally.
>and is the >theoretical(?) Higgs boson particle capable of existing in two >places simultaneously?
Not just the Higgs. This is a quantum mechanics thing, and it applies to ALL particles, and therefore all matter. YOU currently exist in many places simultaneously. With a certain (extremely small) "quantum amplitude", you're currently on the moon.
The effect is real for all matter. It just tends to be the most important for individual subatomic particles. (The more particles there are, the more the system tends to "average out" to a well-defined classical state.)
>There is so much crazy talk surrounding the LHC that getting >an understanding of what they could potentially prove or >uncover is difficult to ascertain.
Well, they found the Higgs. And that was a big deal. The bad news, actually really bad news, is that it looks like they won't discover anything else. The laws of physics, as we already knew them, just turned out to be too accurate. There hasn't been anything other than the Higgs that hasn't gone exactly as expected.
That's not a humble-brag, by the way, even for the community as a whole. It's actually a really serious problem that the people in particle physics don't seem to have anything that breaks with expectations. Because that leaves them with no guidance for future theories. People are literally dropping out of the field because there's nothing for them to work on.
>Could they theoretically warp space time?
They could, and they do, in extremely tiny amounts. But so do you. The gravitational field is a manifestation of warped spacetime. So anything that produces a gravitational field (which is literally anything made of matter and/or energy), warps spacetime.
Extreme warping of spacetime occurs in black holes. Unfortunately LHC doesn't seem to have nearly enough energy to produce black holes. It would have been really cool (and no, not dangerous) if it had.
Extreme warping of spacetime is also often associated with wormholes, but there were never any expectations that LHC could produce wormholes, and there are basic reasons to think that wormholes likely can't be produced on a macroscopic scale. (I say this as one of the few people in the world who's actually done formal research on wormholes. They're extremely interesting things, but unfortunately not things that seem to actually exist.)
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