Unrelated to technology, I like playing with the idea that humans in Star Wars are just naturally, if rarely, parthogenic - that is, sometimes forming an embryo that can become a baby without having had eggs fertilized - under the right highly specific circumstances.

That way Shmi's statement that her child had no father and Qui-Gon's lack of reaction are like "oh, one of those". Really documented cases would be quite rare but of course, if someone is having sex at the right times they usually assume that's what happened, so many cases aren't known about.