Why This Stuff Costs $2700 Trillion Per Gram - Antimatter at CERN

Is it even possible to have the inflation of the universe in 3 dimensions support the creation of perfectly balanced pairs of particles ? - In other words, maybe matter exists because of the nature of 3D space.  Maybe 2D and 4D space can allow for a perfect balance of matter and antimatter particles all annihilating to nothing, but maybe the geometry of 3D space must have an imbalance of pairs.  Has anyone looked at this problem is terms of simple spacial geometry and how the distribution of potentially annihilating particle pairs would emerge  ?