# What relative effects would be for an object with the near-light-speed velocity in compactified dimensions?

What relative effects would be for an object with the near-light-speed velocity in compactified dimensions?

What would happen if the size of the compactified dimensions was much less than the Planck's scale (or the "uncertainty principle" scale)?

• By compactified dimension you mean you add a point at infinity? Normally space extends as far as you like, but doesn't get to infinity. Compactified space does. I wouldn't think this kind of space is representative of flat physical 3 space. For example, all continuous functions on a compact space are bounded. So you can't have a rocket traveling in a straight line at constant acceleration forever, with an unbounded velocity. It would be more suitable to a rocket on a circular track, where every time it goes around it has the same velocity at the same point. May 15 '16 at 1:37
• Compactified dimension are additional small-sized rounded dimensions in string and superstring theories. It means: x = x + 2*pi*R. May 15 '16 at 1:42