What our world might be like (as alternative to Minkowski space-time   with Poincare group of motion)
  It is proposed four dimensional curved space-time with de-Sitter group of motion. Theory contain free dimension constants of length, impulse and action. Under infinite values of these parameters theory pass to usual Minkowski space-time with Poincare group of motion. In modified space gauge invariant field theory is constructed. 
A.N. Leznov