I create my own space eating breakfast and the Libyan woman creates her own space with her screams. Our spaces are discontinuous in time and location and most important in emotion, but these discontinous spaces are connected by electrons moving at the speed of light.
There is no way and no time for the Libyan woman and myself to establish common ground, because there is none, yet I hear her screams and the crunch of my cornflakes, all at the speed of light, that is, instantaneously.
So with instantaneous communication there is no need for common ground.
Look, we are communicting quite well without any common ground.