De Sitter Space and Virtual Particles

[JPBenowitz]

So De Sitter Space has a constant scalar curvature in the absence of energy or mass where positive curvature corresponds to a repulsive force and negative curvature corresponds to an attractive force. My question is could "virtual particles" be replaced by De Sitter and Anti-De Sitter spaces? I don't know much about this topic so some background information of De Sitter Space would be much appreciated.

 

[tom.stoer]

why do you think that dS as a vacuum solution of GR could replace a mathematical description of "exchange interactions" in quantum field theory?