Nine, you’re doing it wrong. You’re doing it so wrong and you know it. By telling Rose to forget you, you’re making damned sure that she doesn’t. You want her to remember you. You want her to come chasing after you because you’re so afraid of asking to her to come aboard the TARDIS.
You know that she’s exactly what you need. You know that from the brief amount of time you’ve been with her that her company is such a welcome change from being isolated and alone. By giving her that incredible line about the world revolving and just walking away, you’re piquing her interest.
You’ve started to fall for her and you don’t even realize it yet, even with your vast capacity for information and knowledge, these feelings are eluding you. Don’t worry, by the second episode, you’ll be aware of what you’re feeling. Hell, when you ask her to come with you was the moment that you realized that you were falling for Rose!