Unfortunately the longest elapsed time along a world line happens on a geodesic, that is when a body is at rest. So you cannot have time "accelerate", you can only "slow it down" relatively to a reference frame by accelerating in a very strong manner (leaving a place very fast and coming back there would work, as made famous by the so-called "twins paradox").

So to make your room, you would have to send the whole outside world away for a close-to-lightspeed trip (and back) whenever you feel like "entering" it. That "room" cannot be a place...

Unfortunately the longest elapsed time along a world line happens on a geodesic, that is when a body is at rest. So you cannot have time "accelerate", you can only "slow it down" relatively to a reference frame by accelerating in a very strong manner (leaving a place very fast and coming back there would work, as made famous by the so-called "twins paradox").

So to make your room, you would have to send the whole outside world away for a close-to-lightspeed trip (and back) whenever you feel like "entering" it. That "room" cannot be a place...

You would have to actually leave the "room", the place where your food grows or your computer simulation run, go on a relativistic round trip yourself and then indeed upon return observe that your 10000-years simulation is over while for you a few days passed. But then the situation would have been "you in a forward time travel room".

Unfortunately the longest elapsed time along a world line happens on a geodesic, that is when a body is at rest. So you cannot have time "accelerate", you can only "slow it down" relatively to a reference frame by accelerating in a very strong manner (leaving a place very fast and coming back there would work, as made famous by the so-called "twins paradox").

So to make your room, you would have to send the whole outside world away for a close-to-lightspeed trip (and back) whenever you feel like "entering" it. That "room" cannot be a place...

Unfortunately the longest elapsed time along a world line happens on a geodesic, that is when a body is at rest. So you cannot have time "accelerate", you can only "slow it down" relatively to a reference frame by accelerating in a very strong manner (leaving a place very fast and coming back there would work, as made famous by the so-called "twins paradox").

So to make your room, you would have to send the whole outside world away for a close-to-lightspeed trip (and back) whenever you feel like "entering" it. That "room" cannot be a place...