Star Wars: Rogue One - 11 Biggest Unanswered Questions
2. Why Would Vader Live On Mustafar?
The Question: Pablo Hidalgo confirmed on Twitter that Darth Vader's home is situated on Mustafar, but why would Vader choose to live on the planet where he was horribly mutilated by his former best friend and choked his wife out?
The Likely Answer: More than anything, Mustafar is where Anakin died and Vader was born, so it makes a certain perverse amount of sense that he would want to live in his birthplace.
Though there's already the fan theory that Darth Sidious coerced him to stay there in order to fuel his anger, it's more likely that Vader wanted a constant reminder of what happened to him, that he was "betrayed" by his best pal and his wife. It's sick, but suits the character as we know him just fine.