Some unanswered questions... or are they really answers I just didn't found?

I finished the game with a lot of questions about the lore and story. I don't know if the game actually doesn't explain them or if I didn't found the document or conversation where they talk about it.

Please let me know what you found (or what you theorize) about this issues:

• Where did Jesse got the Aberrant and what it is exactly?
• What's the deal about the Fadens "only having one kid, not two"?
• What is The Breach?
• Why was the Hedron at The Breach at the end and why the Board asked us not to destroy it?

If you know the answers or have an educated guess, thank you for sharing.