Fully transparent environment (?) [Plan9 inspired]

So i had a dream (and a stroke) Where I was playing sim city 4 on my PC and my friend called, so i seamlessly move caller application from my phone to PC, start talking, but conversation was hard so I hibernate the game to disk for better focus. Then as he invited me i just grab file with game state and put on my laptop so I was able to seamlessly continue playing on the train. I know it might be kinda possible if we do rain dance over docker containers and stuff. But just imagine world where you don't "see" computer anybody get close to such goal? what you did? (application hibernation and moving in between computers)