Final answer:
The Large Hadron Collider, the world's largest particle accelerator, crosses the border between Switzerland and France near Geneva.
Step-by-step explanation:
The Large Hadron Collider (LHC) is the world's largest and most powerful particle accelerator, and it indeed spans the border between two countries: Switzerland and France. Situated near Geneva, Switzerland, the LHC operates over 150 meters underground and is designed to probe the fundamental structure of the universe by accelerating particles to high energies and observing the results of their collisions. This remarkable feat of engineering began preliminary operations in 2008 and has since been at the forefront of particle physics research.