Assume that an electron and a positron were emitted as part of the big bang on parallel trajectories.

I conjecture that they cannot propagate independently ad infinitum.

 

Here's why :

1) Infinite momentum and hence infinite parallelism is not possible

2) There is a component of the attractive force that continues to act on the particles through their trajectories.

3) Space time is curved and particles on a geodesic would end up meeting in curved space.

 

Hence all such mutually antagonistic pairs would end up annihilating each other.

After the big bang the universe was opaque to even radiation and full of hot charged particles - thus any such pairs would have struck a different charged particle within the tiniest fraction of a second. It was like this for about 380,000 years

 

1) They don't have infinite momentum.

2) Well yes - in fact the whole attractive force by definition not just a component

3) Not necessarily. Negative and positive curvature give different results - in real world space time who knows

 

Yes - but how many such pairs exists? I can think of no mechanism which would eject an electron and a positron on parallel paths

There is an interesting question being experimentally researched that is related to your speculations:

 

See WHY THERES MORE MATTER THAN ANTIMATTER IN THE UNIVERSE

Edited December 21, 201510 yr by Bill Angel