Starbright is dead on at the end there. Its not going to do either of you any good to be forced to call - the only person it makes happy is your brother. You dont want to talk to him, and he is not going to feel great about talking to someone who has been forced to call him. So while I am sure he has the best intentions with his request, it would make 2 people he cares about extremely uncomfortable and leave them both with resentment over the call. He needs to back down without blowing up.

But if he wants to carry on like a pork chop, then there is little you can do but 'take a break' from him. Clearly logic and reason isnt entering into his thought patterns right now so there is no point trying to explain it until he has 'calmed down', iykwim?