My boyfriend and I are in a cold war now. He sent me messages, but I didn't answer them. I don't care if he talks to me. If this situation continues for a week, my boyfriend

This is obviously a cold war between you and him, not between you and your boyfriend. First of all, you didn't put yourself out to solve the problem. Second, you don't care how your boyfriend feels. Finally, I personally think that you may not love your boyfriend anymore. Why not separate? Maybe it's because you don't want to lose this life for some reason.