Why cant we lavitate things using electromagnetic waves?
You can, but “waving” the electromagnetic field is unnecessary. Stationary magnet-magnet repulsion, as is often suggested, does not lead to *stable* levitation. There’s a theorem and everythng on that. It will invariably topple over. However, a superconductor can levitate over a magnet. A conventional conductor can too, but it would have to be in motion (like with a maglev train) to be stable. There’s a desk toy you can buy that levitates a small globe using magnets and electromagnets with dynamic feedback for stability.