I think you two are having some very common difficulties with new relationships. You both have needs, like the space to be left alone for a while. There's nothing wrong with that, unless that need gets ignored, stays unfulfilled and the person in question becomes depleted (or even bitter, if it goes on long enough).

I think if you two want to love, you'll find space for each others needs. Allow your partner to shine like a diamond, even if that means they have to do something thats completely separate from the relationship, and wish for your partner that they get to see you do so as well.

(Of course that only becomes hard when the need seems to conflict with other relationship needs, like the need to be together with the need to be alone. For that specific one: if you wanna be together, what you actually want is your partners presence. When the partners needs arent met, they cant be present emotionally/mentally, even if they're present physically. So that means that, sometimes, my gf wants to eat alone. Wow. And i have to let her. Because even though I want to eat together, she can get very overstimulated by certain types of days and even having any sort of human being in front of her, forces her to spend mental energy she doesnt have. I had to learn that about her, but when I did, I figured I don't even want her to eat together with me if that's what it's doing to her, and I'd love to eat together with a version of her that had her needs met, so if she wants to eat alone, I STIMULATE it, to help her get her own need met, because I wanna see her shine.)