So, first on what's happening at CERN. They are colliding particles at extreme energies, but they're not coming from other dimensions. The energy of the collisions breaks down atoms into their fundamental particles, which very sensitive detectors measure. So far, the Standard Model of particle physics is holding up quite well. At this point, no little black holes are being formed, and if they did, they'd evaporate instantly, thanks to Hawking Radiation.
Looking at the other points, if all the space was removed from all the atoms on earth, what would be left would be a sphere about the size of a large basketball stadium, and it would have as much mass as Earth currently has. Atoms, and therefore you and me and everything on earth, are mostly very empty space. If one of your atoms was suddenly inflated to the size of a golf ball, it's electrons would be about a mile-and-a-half away.
What would happen if all the matter in the Sun were to suddenly condense so there was no space left between its atoms? We'd be left with a neutron star (more on that in a minute) about the size of Long Island NY. And Earth and all of the other planets would continue to orbit as they do now, because the mass, and hence its gravity, has not changed, even though it's gone from being over 800,000 miles across to just a few miles across.
Neutron stars are very cool and strange. Their mass before they condense was not big enough to allow the star to collapse into a black hole when it finished it's life of fusing heavier and heavier elements together until it began to create iron, but it was great enough that all of the space between its atoms disappeared as its intense gravity crushed it down to the smallest size possible, essentially creating a gigantic neutron the size of a city but with the same mass as its former self. If a sugar cube size of matter from a neutron star were placed on the ground, it would weigh roughly the same as Mount Everest and it would sink rapidly to the center of the earth.