What’s hilarious is once Anakin has turned that first moral corner, Palpatine essentially fesses up that he actually doesn’t know how to keep Padme from dying.
But Anakin keeps on Sithing with the vague B.S. promise from Palpy they’ll find the secret out together. How? If Palpy didn’t learn it from Plagueis already, I don’t think he ever would.
And since Anakin’s visions revolve around Padme dying in childbirth, there isn’t exactly a whole lot of time to find the secret, if it exists at all.
Well, technically he never said he could actually do it, only that it was a Sith ability requiring the Dark Side and that Plageuis had given his apprentice all of his knowledge.
I guess, after killing Mace there really wasn’t much else for Anakin to do than hope that he and Palpatine could figure it out together. Though, I think the whole “we can discover the secret together” -thing was Palpatine’s way of guaranteeing Anakin’s cooperation until he got consumed by the Dark Side. Otherwise Anakin might have quickly turned on him.