or should we say... they are not a 'biological' brother?
Yes, that's a better description to for statement.
it seems to me that, you guys are overcomplicating something so simple.
and the only way we can solve this once and for all, is to make a DNA test to both his sons to see if they are really from the same being/father/entity.
Yes, that could be... if the Sons were alive, but that is not the case (at least I hope so XD).
By the way, let me tell you... this is just a theory. This may be true, or maybe this is false. Unless you have a solid proof that breaks it, then this theory still may be true. The tag "theory" is not there as a decoration, it means that we are going to make an
analysis based on proof or hints that manga gives us. Analysis = Segregation and description. So... it makes sense to tell that this thread was going to "complicate" the subject of analysis beforehand, in order to get conclusions or possibilities.
In this case I just used simple logic...
C = A + B; (Sage created two sons)
A -> C and B -> C; (Each son have a relationship with the Sage)
B = !A; (Yin and Yang are complement of each other)
You are correct, and that is why the powers of the Elder and Younger Sons are so evenly divided. Because their conception was not biological, but mystical
Well, I tried to explain it with boolean logic, but that's another valid way to see it.