Defining total energy as the integral of energy over space implies that an object in one part of space might be able to mysteriously gain energy by reducing energy in other parts of space.
Do we see this in the real world? How useful is the word "mysterious" here?
"Mysterious" here means "via an otherwise unexplained-in-a-single-world mechanism."
This is a thread where people can ask questions that they would ordinarily feel embarrassed for not knowing the answer to. The previous thread is at close to 500 comments.