Question

In the spinning cylinder room example mentioned in relativity, where the nearest distance between 2 point is actually curved line.. and light take a straight pass right, which is farer than the curved line due to time dilation in the middle of the room due to a smaller acceleration than side of the room, cus of angular momentum,

THEN if we make a curved accelerator like CERN, wont we be able to break the speed of light even though the particle is slower than light ?