In the art book, it is mentioned that a miniature copy of the Genesis Chamber from which Kryptonian life is created exists in the movie and that Zod sees it as the means of saving the Kryptonian race from extinction. We know from the Girl of Steel comic that there is a "growth codex" on board Kara's scout ship that is to be used to grow and birth Kryptonians in establishing colonies on other worlds.
I have a suspicion that the technology spoke of in the art book is growth codex on Kara's scout ship (which was supposed to be used to create Kryptonian colonies) and which Supes controls through the Kryptonian Command Key. My guess is that Zod's wish for Kal-El to be "patriotic" involves him giving up the key/codex to Zod and aiding in the re-population of their race. Supes won't because he knows that Zod thinks of humans as nothing but animals (given his stance on superior bloodlines on Krypton and references in EW to him being a racial supremacist) and now knowing that Earth's sun grants them immortality/invulnerability is dead set on wiping away the human population and forging a New Krypton where nothing can harm them. If you really think about it, if you lost your world and your species was all but destroyed, don't you think you would become insanely obsessed with a world where your people are invincible upon discovering it? In essence, as DarthSkywalker put it in the Zod thread, the conflict Supes has to face is the idea of having "Krypton back at the expense of humanity". The film's climax will actually be about Superman choosing between his Kryptonian and human heritage and I think we all know which one he chooses...

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