I'd like to see more done with the Earth's magnetic field. I recall a question in physics class where they asked how much current it would take to run through a longitudinal wire to make the wire float off the ground. Amazing to think of using that magnetic field to maneuver around without spending any matter!

The right-hand rule is about force on the wire because of the current travelling through it inside of a magnetic field. It doesn't seem a good fit to credit it as the cause of something like gravity that is observed to be directly proportional to mass. That would require a current that is also directly proportional to mass going in just the right direction in all matter.