What does シン mean in シン・ゴジラ? My dictionary says "thin."
Online comments imply that it "could mean true, new, God, shaking, and so on." That's a long stretch away.
I assume that 'shin gojira' is just a phonetic variation and that 'Godzilla: Resurgence' a creative translation (for commercial purposes, to differentiate it from all the other Godzilla movies).