Originally Posted by The Guard
The planet Krypton exploded into pieces at the beginning, didn't it?
Therefore, wouldn't there be Kryptonite in the film somewhere?
When Zod warped way from Krypton they sucked some debris from the planet with them. Then when the came out of the warp the debris got scattered. This happens right before they find the World engine on that dead Kryptonian outpost. The only problem i see with that is that the only way for that debris to reach earth is for that outpost to be somewhere in our solar system.