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

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

Does gravity increase the same as for an object with near light speed velocity in usual spacial dimensions?

What does it happen if size of compactified dimensions is much less than uncertainty principle scale (for corresponding impulse of the object with near light speed velocity)?

• 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. – mmesser314 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. – Dmitry May 15 '16 at 1:42