Just physically interact. Push each other around. You’ll be building up tiny differences, and those interactions will magnify those differences.
Also, smash the environment. I originally read you post as the room had mirrors for walls, and that’s what made me think of it.
I don’t think that your question is quite makes sense. The world is non-deterministic. There are macroscopic patterns that are generally symmetrical, but not at the deepest levels. For instance, there is the cosmic gravitational background, where space is sort of wobbling around because of the gravitational waves from other things in the universe moving about, similarly to ripples on a pond. Even if you controlled for everything in the room, you could not control for those differences. The only way for that room to be perfectly rotationally symmetrical, is if the universe is rotationally symmetrical relative to that room.
Just physically interact. Push each other around. You’ll be building up tiny differences, and those interactions will magnify those differences.
Also, smash the environment. I originally read you post as the room had mirrors for walls, and that’s what made me think of it.
I don’t think that your question is quite makes sense. The world is non-deterministic. There are macroscopic patterns that are generally symmetrical, but not at the deepest levels. For instance, there is the cosmic gravitational background, where space is sort of wobbling around because of the gravitational waves from other things in the universe moving about, similarly to ripples on a pond. Even if you controlled for everything in the room, you could not control for those differences. The only way for that room to be perfectly rotationally symmetrical, is if the universe is rotationally symmetrical relative to that room.
THEN you can talk about quantum field theory.