It's late at night and the other Links have gone to bed already. However, you and Time are staying up late chatting about heritage and all that on Lon Lon Ranch. He's pulled out a couple heirlooms that you swear are almost identical to some of your own, and you've described a family tree that sounds eerily similar to his. All the evidence clicks into place...

He gives a hearty chuckle, "There's no way... Seems like you and I must be related." He shrugs, smiling fondly, "The reasoning is all there."