"Sorry," the Doctor said, airliy. "I'm afraid my technology is beyond a human's capacity to comprehend. I don't care how advanced the human. You simply don't have the necessary senses. Among other things, you only see time as a linear progression." A Time Lord's mind was larger and vastly more complex than any human's, and capable of a greater number of specialized functions. It allowed them to operate technology that was far more advanced than that of almost any other species in the universe. The Doctor wasn't being arrogant; he was simply stating fact.
"And I've no idea what you mean with the women. We're friends. That's all. Well, Donna and I are friends. Well, I suppose Amy and I are as well, but I don't know her yet. Never will, really. Not as this me. It's complicated. We've all been pulled out of our proper timelines into this dimension, whichever dimension it happens to be. Not E-Space, clearly, which is a good thing, and I'd wager that it isn't Pete's World, either. Haven't seen any zeppelins."