Hmm...Let's just say it took me like 3 chapters in a textbook to learn the theory of relativity and the knowledge behind it. You kind of crammed it all into 3 paragraphs.
Reading your example made me wonder if I am right or not in what I think it is. I'm going to have to re-research some things.
When person-one looks at his own clock, he can't tell the difference from when time goes slower, or when it goes normal.
That threw me off. I got confused because I thought person one and two could see eachother's clocks. Now I don't know if I am correct in thinking that gravity isn't the only cause of time-dilation, which is what you are talking about. Now I am considering that maybe
acceleration causes time dilation, because you get increased gravity during acceleration, but not at a constant velocity. But I know that can't be right because there is time-dilation at high speeds without acceleration! Argh! I'm completely confused now!