I like your analogy using the computer game but I see my monitor frame surrounding the screen. Seems like there's always something outside.
It's like we're in a self contained sphere of immeasurable expanse and we can't penetrate the confines of this habitat. If we launch a projectile out into the depths of our sphere the projectile will never reach the edge. It would seem in order to reach the outer boundary we would need more force than all the energy available to us so that would make it impossible to even know if there is an outside. We can speculate though.
What I mean by projectile is: a light beam, radio wave or any kind of particle. I also mean by this statement that any wave/beam/particle leaving the outer boundary of our sphere would not have enough energy to reach us therefore making information transfer from us to there and from there to us impossible. By not enough energy I mean, not enough energy to go faster than light.