So, you're walking along and a giant Greek letter appears. It snaps its serifs, and two boxes materialize before you with a puff of reality-defying smoke. The one on your left is clear as a blue sky and crammed full of cash. The one on your right is featureless and perfectly opaque.
"I've heard of you! You're Omega. In the '60s, you were flying around giving everyone money! I've thought about this and decided I would probably one-box. Although now that I'm here, a guaranteed pile of money sure looks nice..." You're delighted by your good fortune, but indecision paralyzes you. You lean rightward, then glance back at the tempting transparent box.
"Whoa there,... (read 713 more words →)
Minor nitpicks: -I read "1 angstrom of uncertainty in 1 atom" as the location is normally distributed with mean <center> and SD 1 angstrom, or as uniformly distributed in solid sphere of radius 1 angstrom. Taken literally, though, "perturb one of the particles by 1 angstrom in a random direction" is distributed on the surface of the sphere (particle is known to be exactly 1 angstrom from <center>). -The answer will absolutely depend on the temperature. (in a neighborhood of absolute zero, the final positions of the gas particles are very close to the initial positions.) -The answer also might depend on the exact starting configuration. While I think most configurations would end up... (read more)