Yes, stated purpose and REAL purpose aren't always the same. Super collider(s) to cause collisions between particles in effort to re create Big Bang theory of creation of universe...was original stated goal I believe. Yes, the Higgs Boson particle as stated in another reply.

There are other Hadron Super colliders around...I believe one in Illinois, and an unfinished one in Tx if I recall correctly?

https://sometimes-interesting.com/super-collider-abandoned/

Yes, the impression I have had from previously keeping an eye on this thing is that they were indeed working to enter into other dimensions...sort of like a star gate.

But, they have achieved collisions....and they continue on and want larger and larger facilities.

BPearthwatch on YT used to track when it was in operation, and could see the magneto sphere around the earth change shape. This has something to do with protecting the earth from objects in space, and when it changes shape, at least some of that protection is lost.

The inclusion of Shiva, the Hindu god(dess) of destruction certainly moves it from "pure science" to some kind of mysticism or occult practice....and that ceremony when the Goatherd tunnel was opened was purely bizarre imo.

https://www.youtube.com/watch?v=b-TKQaqml6k

and one more note: the international collaboration on this project is pretty interesting, too.