Hi,
Don't think it's Vinge. His bubble / bobbles were stasis bubbles were nothing changes but nothing dies. It just emerges from stasis a certain time later, exactly as it was. But the invention of the bobbles caused a small war, and made the inventers / controllers of the bobbles the real world rulers - more powerful than governments, and also started a craze called bobbling, where people froze themselves for a period of time so that they could get to the future without ageing / travelling through the present.
It leads on to a sequal book - Marooned in Real Time, which is a post singularity / apocalypse novel, where only people in stasis bubbles survived the end, and then travel on through time, bobbling until the reach a habitable future, and solving a murder mystery on the way.
Cheers, Greg.