I believe it means that you are Doing Something Important or risked something dear to you to do something else. "I Moved Worlds to help a friend with Cancer" May be a good example, but it can also mean "I Moved Worlds Across the Galaxy" Which isn't physically Realistic. but is a representation. "I Moved Worlds to Mars" Is a final example representing physically moving to another planet.
Edit: When loki speaks in his mind about Moving Worlds, he says Conviction, and the First definition is what represents this as stated above, similar to "I Moved Worlds to help a friend with Cancer"