I had a question that had been bothering me for some time. I tried to come up with an explanation but I wanted to know whether it is right.
Imagine two different observers say A & B floating in space in their corresponding frames say P&Q with nothing else surrounding them. A observes that B is accelerating away from him and B observes that A is accelerating away from him. I feel that this situation is completely symmetrical for both A & B and thus if the motion is actually relative, then the observations of both A & B must be similar. However, then how is it possible that only one of them say, A, happens to observe a ball in his hand following Newton's laws of motion showing that he is in an inertial frame of reference whereas a ball in the hands of B seems to be acted upon by pseudoforces? Basically, my question is what is the reason for the seemingly asymmetry between them ?